Twist-3 light-cone distribution amplitudes of the scalar mesons within the QCD sum rules and their application to the $B \rightarrow S$ transition form factors
Abstract. We investigate the twist-3 light-cone distribution amplitudes (LCDAs) of the scalar mesons $ a_{0} $, $ K^{\ast}_{0}$ and $ f_{0} $ within the QCD sum rules. The QCD sum rules are improved by a consistent treatment of the sizable s -quark mass effects within the framework of the background...
Ausführliche Beschreibung
Gespeichert in:
| Autor*in: |
Han, Hua-Yong [verfasserIn] Wu, Xing-Gang [verfasserIn] Fu, Hai-Bing [verfasserIn] Zhang, Qiong-Lian [verfasserIn] Zhong, Tao [verfasserIn] |
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| Format: |
E-Artikel |
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| Sprache: |
Englisch |
| Erschienen: |
2013 |
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| Übergeordnetes Werk: |
Enthalten in: The European physical journal - Berlin : Springer, 1998, 49(2013), 6 vom: 26. Juni |
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| Übergeordnetes Werk: |
volume:49 ; year:2013 ; number:6 ; day:26 ; month:06 |
| Links: |
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| DOI / URN: |
10.1140/epja/i2013-13078-7 |
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| Katalog-ID: |
SPR008280959 |
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| 100 | 1 | |a Han, Hua-Yong |e verfasserin |4 aut | |
| 245 | 1 | 0 | |a Twist-3 light-cone distribution amplitudes of the scalar mesons within the QCD sum rules and their application to the $B \rightarrow S$ transition form factors |
| 264 | 1 | |c 2013 | |
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| 520 | |a Abstract. We investigate the twist-3 light-cone distribution amplitudes (LCDAs) of the scalar mesons $ a_{0} $, $ K^{\ast}_{0}$ and $ f_{0} $ within the QCD sum rules. The QCD sum rules are improved by a consistent treatment of the sizable s -quark mass effects within the framework of the background field approach. Adopting the valence quark component $ (\bar{q}_{1} q_{2})$ as the dominant structure of the scalar mesons, our estimation for their masses is close to the measured $ a_{0}(1450)$ , $ K^{\ast}_{0}(1430)$ and $ f_{0}(1710)$ . From the sum rules, we obtain the first two non-zero moments of the twist-3 LCDAs $ \phi^{s,\sigma}_{a_{0}}$ : $ \langle \xi_{s,a_0}^{2(4)}\rangle=0.369\;(0.245)$ and $ \langle \xi_{\sigma,a_{0}}^{2(4)}\rangle=0.203 \;(0.093)$ ; those of the twist-3 LCDAs $ \phi_{K^{\ast}_{0}}^{s,\sigma}$ : $ \langle \xi_{s,K^{\ast}_{0}}^{1(2)}\rangle=0.004\;(0.355)$ and $ \langle \xi_{\sigma,K^{\ast}_{0}}^{1(2)}\rangle =0.018\;(0.207)$ ; and those of the twist-3 LCDAs $ \phi_{f_{0}}^{s,\sigma}$ : $ \langle \xi_{s,f_{0}}^{2(4)}\rangle=0.335\;(0.212)$ and $ \langle \xi_{\sigma,f_{0}}^{2(4)}\rangle=0.196\;(0.088)$ , respectively. As an application of those twist-3 LCDAs, we study the $ B\rightarrow S$ transition form factors by introducing proper chiral currents into the correlator, which is constructed such that the twist-3 LCDAs give dominant contribution and the twist-2 LCDAs make negligible contribution. Our results of the $ B\rightarrow S$ transition form factors at the large recoil region $ q^{2}\simeq 0$ are consistent with those obtained in the literature, which inversely shows the present twist-3 LCDAs are acceptable. | ||
| 650 | 4 | |a Form Factor |7 (dpeaa)DE-He213 | |
| 650 | 4 | |a Decay Constant |7 (dpeaa)DE-He213 | |
| 650 | 4 | |a Scalar Meson |7 (dpeaa)DE-He213 | |
| 650 | 4 | |a Transition Form Factor |7 (dpeaa)DE-He213 | |
| 650 | 4 | |a Borel Parameter |7 (dpeaa)DE-He213 | |
| 700 | 1 | |a Wu, Xing-Gang |e verfasserin |4 aut | |
| 700 | 1 | |a Fu, Hai-Bing |e verfasserin |4 aut | |
| 700 | 1 | |a Zhang, Qiong-Lian |e verfasserin |4 aut | |
| 700 | 1 | |a Zhong, Tao |e verfasserin |4 aut | |
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| 773 | 1 | 8 | |g volume:49 |g year:2013 |g number:6 |g day:26 |g month:06 |
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10.1140/epja/i2013-13078-7 doi (DE-627)SPR008280959 (SPR)i2013-13078-7-e DE-627 ger DE-627 rakwb eng 530 ASE 33.40 bkl 33.50 bkl Han, Hua-Yong verfasserin aut Twist-3 light-cone distribution amplitudes of the scalar mesons within the QCD sum rules and their application to the $B \rightarrow S$ transition form factors 2013 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier Abstract. We investigate the twist-3 light-cone distribution amplitudes (LCDAs) of the scalar mesons $ a_{0} $, $ K^{\ast}_{0}$ and $ f_{0} $ within the QCD sum rules. The QCD sum rules are improved by a consistent treatment of the sizable s -quark mass effects within the framework of the background field approach. Adopting the valence quark component $ (\bar{q}_{1} q_{2})$ as the dominant structure of the scalar mesons, our estimation for their masses is close to the measured $ a_{0}(1450)$ , $ K^{\ast}_{0}(1430)$ and $ f_{0}(1710)$ . From the sum rules, we obtain the first two non-zero moments of the twist-3 LCDAs $ \phi^{s,\sigma}_{a_{0}}$ : $ \langle \xi_{s,a_0}^{2(4)}\rangle=0.369\;(0.245)$ and $ \langle \xi_{\sigma,a_{0}}^{2(4)}\rangle=0.203 \;(0.093)$ ; those of the twist-3 LCDAs $ \phi_{K^{\ast}_{0}}^{s,\sigma}$ : $ \langle \xi_{s,K^{\ast}_{0}}^{1(2)}\rangle=0.004\;(0.355)$ and $ \langle \xi_{\sigma,K^{\ast}_{0}}^{1(2)}\rangle =0.018\;(0.207)$ ; and those of the twist-3 LCDAs $ \phi_{f_{0}}^{s,\sigma}$ : $ \langle \xi_{s,f_{0}}^{2(4)}\rangle=0.335\;(0.212)$ and $ \langle \xi_{\sigma,f_{0}}^{2(4)}\rangle=0.196\;(0.088)$ , respectively. As an application of those twist-3 LCDAs, we study the $ B\rightarrow S$ transition form factors by introducing proper chiral currents into the correlator, which is constructed such that the twist-3 LCDAs give dominant contribution and the twist-2 LCDAs make negligible contribution. Our results of the $ B\rightarrow S$ transition form factors at the large recoil region $ q^{2}\simeq 0$ are consistent with those obtained in the literature, which inversely shows the present twist-3 LCDAs are acceptable. Form Factor (dpeaa)DE-He213 Decay Constant (dpeaa)DE-He213 Scalar Meson (dpeaa)DE-He213 Transition Form Factor (dpeaa)DE-He213 Borel Parameter (dpeaa)DE-He213 Wu, Xing-Gang verfasserin aut Fu, Hai-Bing verfasserin aut Zhang, Qiong-Lian verfasserin aut Zhong, Tao verfasserin aut Enthalten in The European physical journal Berlin : Springer, 1998 49(2013), 6 vom: 26. Juni (DE-627)25372290X (DE-600)1459066-9 1434-601X nnns volume:49 year:2013 number:6 day:26 month:06 https://dx.doi.org/10.1140/epja/i2013-13078-7 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_SPRINGER GBV_ILN_11 GBV_ILN_20 GBV_ILN_22 GBV_ILN_23 GBV_ILN_24 GBV_ILN_31 GBV_ILN_32 GBV_ILN_39 GBV_ILN_40 GBV_ILN_60 GBV_ILN_62 GBV_ILN_63 GBV_ILN_69 GBV_ILN_70 GBV_ILN_73 GBV_ILN_74 GBV_ILN_90 GBV_ILN_95 GBV_ILN_100 GBV_ILN_101 GBV_ILN_105 GBV_ILN_110 GBV_ILN_120 GBV_ILN_138 GBV_ILN_150 GBV_ILN_151 GBV_ILN_152 GBV_ILN_161 GBV_ILN_170 GBV_ILN_171 GBV_ILN_187 GBV_ILN_206 GBV_ILN_213 GBV_ILN_224 GBV_ILN_230 GBV_ILN_250 GBV_ILN_267 GBV_ILN_281 GBV_ILN_285 GBV_ILN_293 GBV_ILN_370 GBV_ILN_602 GBV_ILN_636 GBV_ILN_702 GBV_ILN_2001 GBV_ILN_2003 GBV_ILN_2004 GBV_ILN_2005 GBV_ILN_2006 GBV_ILN_2007 GBV_ILN_2008 GBV_ILN_2009 GBV_ILN_2010 GBV_ILN_2011 GBV_ILN_2014 GBV_ILN_2015 GBV_ILN_2020 GBV_ILN_2021 GBV_ILN_2025 GBV_ILN_2026 GBV_ILN_2027 GBV_ILN_2031 GBV_ILN_2034 GBV_ILN_2037 GBV_ILN_2038 GBV_ILN_2039 GBV_ILN_2044 GBV_ILN_2048 GBV_ILN_2049 GBV_ILN_2050 GBV_ILN_2055 GBV_ILN_2056 GBV_ILN_2057 GBV_ILN_2059 GBV_ILN_2061 GBV_ILN_2064 GBV_ILN_2065 GBV_ILN_2068 GBV_ILN_2070 GBV_ILN_2086 GBV_ILN_2088 GBV_ILN_2093 GBV_ILN_2106 GBV_ILN_2107 GBV_ILN_2108 GBV_ILN_2110 GBV_ILN_2111 GBV_ILN_2112 GBV_ILN_2113 GBV_ILN_2116 GBV_ILN_2118 GBV_ILN_2119 GBV_ILN_2122 GBV_ILN_2129 GBV_ILN_2143 GBV_ILN_2144 GBV_ILN_2147 GBV_ILN_2148 GBV_ILN_2152 GBV_ILN_2153 GBV_ILN_2188 GBV_ILN_2190 GBV_ILN_2232 GBV_ILN_2336 GBV_ILN_2446 GBV_ILN_2470 GBV_ILN_2472 GBV_ILN_2507 GBV_ILN_2522 GBV_ILN_2548 GBV_ILN_4012 GBV_ILN_4035 GBV_ILN_4037 GBV_ILN_4046 GBV_ILN_4112 GBV_ILN_4125 GBV_ILN_4126 GBV_ILN_4242 GBV_ILN_4246 GBV_ILN_4249 GBV_ILN_4251 GBV_ILN_4305 GBV_ILN_4306 GBV_ILN_4307 GBV_ILN_4313 GBV_ILN_4322 GBV_ILN_4323 GBV_ILN_4324 GBV_ILN_4325 GBV_ILN_4326 GBV_ILN_4333 GBV_ILN_4334 GBV_ILN_4335 GBV_ILN_4336 GBV_ILN_4338 GBV_ILN_4393 GBV_ILN_4700 33.40 ASE 33.50 ASE AR 49 2013 6 26 06 |
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10.1140/epja/i2013-13078-7 doi (DE-627)SPR008280959 (SPR)i2013-13078-7-e DE-627 ger DE-627 rakwb eng 530 ASE 33.40 bkl 33.50 bkl Han, Hua-Yong verfasserin aut Twist-3 light-cone distribution amplitudes of the scalar mesons within the QCD sum rules and their application to the $B \rightarrow S$ transition form factors 2013 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier Abstract. We investigate the twist-3 light-cone distribution amplitudes (LCDAs) of the scalar mesons $ a_{0} $, $ K^{\ast}_{0}$ and $ f_{0} $ within the QCD sum rules. The QCD sum rules are improved by a consistent treatment of the sizable s -quark mass effects within the framework of the background field approach. Adopting the valence quark component $ (\bar{q}_{1} q_{2})$ as the dominant structure of the scalar mesons, our estimation for their masses is close to the measured $ a_{0}(1450)$ , $ K^{\ast}_{0}(1430)$ and $ f_{0}(1710)$ . From the sum rules, we obtain the first two non-zero moments of the twist-3 LCDAs $ \phi^{s,\sigma}_{a_{0}}$ : $ \langle \xi_{s,a_0}^{2(4)}\rangle=0.369\;(0.245)$ and $ \langle \xi_{\sigma,a_{0}}^{2(4)}\rangle=0.203 \;(0.093)$ ; those of the twist-3 LCDAs $ \phi_{K^{\ast}_{0}}^{s,\sigma}$ : $ \langle \xi_{s,K^{\ast}_{0}}^{1(2)}\rangle=0.004\;(0.355)$ and $ \langle \xi_{\sigma,K^{\ast}_{0}}^{1(2)}\rangle =0.018\;(0.207)$ ; and those of the twist-3 LCDAs $ \phi_{f_{0}}^{s,\sigma}$ : $ \langle \xi_{s,f_{0}}^{2(4)}\rangle=0.335\;(0.212)$ and $ \langle \xi_{\sigma,f_{0}}^{2(4)}\rangle=0.196\;(0.088)$ , respectively. As an application of those twist-3 LCDAs, we study the $ B\rightarrow S$ transition form factors by introducing proper chiral currents into the correlator, which is constructed such that the twist-3 LCDAs give dominant contribution and the twist-2 LCDAs make negligible contribution. Our results of the $ B\rightarrow S$ transition form factors at the large recoil region $ q^{2}\simeq 0$ are consistent with those obtained in the literature, which inversely shows the present twist-3 LCDAs are acceptable. Form Factor (dpeaa)DE-He213 Decay Constant (dpeaa)DE-He213 Scalar Meson (dpeaa)DE-He213 Transition Form Factor (dpeaa)DE-He213 Borel Parameter (dpeaa)DE-He213 Wu, Xing-Gang verfasserin aut Fu, Hai-Bing verfasserin aut Zhang, Qiong-Lian verfasserin aut Zhong, Tao verfasserin aut Enthalten in The European physical journal Berlin : Springer, 1998 49(2013), 6 vom: 26. Juni (DE-627)25372290X (DE-600)1459066-9 1434-601X nnns volume:49 year:2013 number:6 day:26 month:06 https://dx.doi.org/10.1140/epja/i2013-13078-7 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_SPRINGER GBV_ILN_11 GBV_ILN_20 GBV_ILN_22 GBV_ILN_23 GBV_ILN_24 GBV_ILN_31 GBV_ILN_32 GBV_ILN_39 GBV_ILN_40 GBV_ILN_60 GBV_ILN_62 GBV_ILN_63 GBV_ILN_69 GBV_ILN_70 GBV_ILN_73 GBV_ILN_74 GBV_ILN_90 GBV_ILN_95 GBV_ILN_100 GBV_ILN_101 GBV_ILN_105 GBV_ILN_110 GBV_ILN_120 GBV_ILN_138 GBV_ILN_150 GBV_ILN_151 GBV_ILN_152 GBV_ILN_161 GBV_ILN_170 GBV_ILN_171 GBV_ILN_187 GBV_ILN_206 GBV_ILN_213 GBV_ILN_224 GBV_ILN_230 GBV_ILN_250 GBV_ILN_267 GBV_ILN_281 GBV_ILN_285 GBV_ILN_293 GBV_ILN_370 GBV_ILN_602 GBV_ILN_636 GBV_ILN_702 GBV_ILN_2001 GBV_ILN_2003 GBV_ILN_2004 GBV_ILN_2005 GBV_ILN_2006 GBV_ILN_2007 GBV_ILN_2008 GBV_ILN_2009 GBV_ILN_2010 GBV_ILN_2011 GBV_ILN_2014 GBV_ILN_2015 GBV_ILN_2020 GBV_ILN_2021 GBV_ILN_2025 GBV_ILN_2026 GBV_ILN_2027 GBV_ILN_2031 GBV_ILN_2034 GBV_ILN_2037 GBV_ILN_2038 GBV_ILN_2039 GBV_ILN_2044 GBV_ILN_2048 GBV_ILN_2049 GBV_ILN_2050 GBV_ILN_2055 GBV_ILN_2056 GBV_ILN_2057 GBV_ILN_2059 GBV_ILN_2061 GBV_ILN_2064 GBV_ILN_2065 GBV_ILN_2068 GBV_ILN_2070 GBV_ILN_2086 GBV_ILN_2088 GBV_ILN_2093 GBV_ILN_2106 GBV_ILN_2107 GBV_ILN_2108 GBV_ILN_2110 GBV_ILN_2111 GBV_ILN_2112 GBV_ILN_2113 GBV_ILN_2116 GBV_ILN_2118 GBV_ILN_2119 GBV_ILN_2122 GBV_ILN_2129 GBV_ILN_2143 GBV_ILN_2144 GBV_ILN_2147 GBV_ILN_2148 GBV_ILN_2152 GBV_ILN_2153 GBV_ILN_2188 GBV_ILN_2190 GBV_ILN_2232 GBV_ILN_2336 GBV_ILN_2446 GBV_ILN_2470 GBV_ILN_2472 GBV_ILN_2507 GBV_ILN_2522 GBV_ILN_2548 GBV_ILN_4012 GBV_ILN_4035 GBV_ILN_4037 GBV_ILN_4046 GBV_ILN_4112 GBV_ILN_4125 GBV_ILN_4126 GBV_ILN_4242 GBV_ILN_4246 GBV_ILN_4249 GBV_ILN_4251 GBV_ILN_4305 GBV_ILN_4306 GBV_ILN_4307 GBV_ILN_4313 GBV_ILN_4322 GBV_ILN_4323 GBV_ILN_4324 GBV_ILN_4325 GBV_ILN_4326 GBV_ILN_4333 GBV_ILN_4334 GBV_ILN_4335 GBV_ILN_4336 GBV_ILN_4338 GBV_ILN_4393 GBV_ILN_4700 33.40 ASE 33.50 ASE AR 49 2013 6 26 06 |
| allfields_unstemmed |
10.1140/epja/i2013-13078-7 doi (DE-627)SPR008280959 (SPR)i2013-13078-7-e DE-627 ger DE-627 rakwb eng 530 ASE 33.40 bkl 33.50 bkl Han, Hua-Yong verfasserin aut Twist-3 light-cone distribution amplitudes of the scalar mesons within the QCD sum rules and their application to the $B \rightarrow S$ transition form factors 2013 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier Abstract. We investigate the twist-3 light-cone distribution amplitudes (LCDAs) of the scalar mesons $ a_{0} $, $ K^{\ast}_{0}$ and $ f_{0} $ within the QCD sum rules. The QCD sum rules are improved by a consistent treatment of the sizable s -quark mass effects within the framework of the background field approach. Adopting the valence quark component $ (\bar{q}_{1} q_{2})$ as the dominant structure of the scalar mesons, our estimation for their masses is close to the measured $ a_{0}(1450)$ , $ K^{\ast}_{0}(1430)$ and $ f_{0}(1710)$ . From the sum rules, we obtain the first two non-zero moments of the twist-3 LCDAs $ \phi^{s,\sigma}_{a_{0}}$ : $ \langle \xi_{s,a_0}^{2(4)}\rangle=0.369\;(0.245)$ and $ \langle \xi_{\sigma,a_{0}}^{2(4)}\rangle=0.203 \;(0.093)$ ; those of the twist-3 LCDAs $ \phi_{K^{\ast}_{0}}^{s,\sigma}$ : $ \langle \xi_{s,K^{\ast}_{0}}^{1(2)}\rangle=0.004\;(0.355)$ and $ \langle \xi_{\sigma,K^{\ast}_{0}}^{1(2)}\rangle =0.018\;(0.207)$ ; and those of the twist-3 LCDAs $ \phi_{f_{0}}^{s,\sigma}$ : $ \langle \xi_{s,f_{0}}^{2(4)}\rangle=0.335\;(0.212)$ and $ \langle \xi_{\sigma,f_{0}}^{2(4)}\rangle=0.196\;(0.088)$ , respectively. As an application of those twist-3 LCDAs, we study the $ B\rightarrow S$ transition form factors by introducing proper chiral currents into the correlator, which is constructed such that the twist-3 LCDAs give dominant contribution and the twist-2 LCDAs make negligible contribution. Our results of the $ B\rightarrow S$ transition form factors at the large recoil region $ q^{2}\simeq 0$ are consistent with those obtained in the literature, which inversely shows the present twist-3 LCDAs are acceptable. Form Factor (dpeaa)DE-He213 Decay Constant (dpeaa)DE-He213 Scalar Meson (dpeaa)DE-He213 Transition Form Factor (dpeaa)DE-He213 Borel Parameter (dpeaa)DE-He213 Wu, Xing-Gang verfasserin aut Fu, Hai-Bing verfasserin aut Zhang, Qiong-Lian verfasserin aut Zhong, Tao verfasserin aut Enthalten in The European physical journal Berlin : Springer, 1998 49(2013), 6 vom: 26. Juni (DE-627)25372290X (DE-600)1459066-9 1434-601X nnns volume:49 year:2013 number:6 day:26 month:06 https://dx.doi.org/10.1140/epja/i2013-13078-7 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_SPRINGER GBV_ILN_11 GBV_ILN_20 GBV_ILN_22 GBV_ILN_23 GBV_ILN_24 GBV_ILN_31 GBV_ILN_32 GBV_ILN_39 GBV_ILN_40 GBV_ILN_60 GBV_ILN_62 GBV_ILN_63 GBV_ILN_69 GBV_ILN_70 GBV_ILN_73 GBV_ILN_74 GBV_ILN_90 GBV_ILN_95 GBV_ILN_100 GBV_ILN_101 GBV_ILN_105 GBV_ILN_110 GBV_ILN_120 GBV_ILN_138 GBV_ILN_150 GBV_ILN_151 GBV_ILN_152 GBV_ILN_161 GBV_ILN_170 GBV_ILN_171 GBV_ILN_187 GBV_ILN_206 GBV_ILN_213 GBV_ILN_224 GBV_ILN_230 GBV_ILN_250 GBV_ILN_267 GBV_ILN_281 GBV_ILN_285 GBV_ILN_293 GBV_ILN_370 GBV_ILN_602 GBV_ILN_636 GBV_ILN_702 GBV_ILN_2001 GBV_ILN_2003 GBV_ILN_2004 GBV_ILN_2005 GBV_ILN_2006 GBV_ILN_2007 GBV_ILN_2008 GBV_ILN_2009 GBV_ILN_2010 GBV_ILN_2011 GBV_ILN_2014 GBV_ILN_2015 GBV_ILN_2020 GBV_ILN_2021 GBV_ILN_2025 GBV_ILN_2026 GBV_ILN_2027 GBV_ILN_2031 GBV_ILN_2034 GBV_ILN_2037 GBV_ILN_2038 GBV_ILN_2039 GBV_ILN_2044 GBV_ILN_2048 GBV_ILN_2049 GBV_ILN_2050 GBV_ILN_2055 GBV_ILN_2056 GBV_ILN_2057 GBV_ILN_2059 GBV_ILN_2061 GBV_ILN_2064 GBV_ILN_2065 GBV_ILN_2068 GBV_ILN_2070 GBV_ILN_2086 GBV_ILN_2088 GBV_ILN_2093 GBV_ILN_2106 GBV_ILN_2107 GBV_ILN_2108 GBV_ILN_2110 GBV_ILN_2111 GBV_ILN_2112 GBV_ILN_2113 GBV_ILN_2116 GBV_ILN_2118 GBV_ILN_2119 GBV_ILN_2122 GBV_ILN_2129 GBV_ILN_2143 GBV_ILN_2144 GBV_ILN_2147 GBV_ILN_2148 GBV_ILN_2152 GBV_ILN_2153 GBV_ILN_2188 GBV_ILN_2190 GBV_ILN_2232 GBV_ILN_2336 GBV_ILN_2446 GBV_ILN_2470 GBV_ILN_2472 GBV_ILN_2507 GBV_ILN_2522 GBV_ILN_2548 GBV_ILN_4012 GBV_ILN_4035 GBV_ILN_4037 GBV_ILN_4046 GBV_ILN_4112 GBV_ILN_4125 GBV_ILN_4126 GBV_ILN_4242 GBV_ILN_4246 GBV_ILN_4249 GBV_ILN_4251 GBV_ILN_4305 GBV_ILN_4306 GBV_ILN_4307 GBV_ILN_4313 GBV_ILN_4322 GBV_ILN_4323 GBV_ILN_4324 GBV_ILN_4325 GBV_ILN_4326 GBV_ILN_4333 GBV_ILN_4334 GBV_ILN_4335 GBV_ILN_4336 GBV_ILN_4338 GBV_ILN_4393 GBV_ILN_4700 33.40 ASE 33.50 ASE AR 49 2013 6 26 06 |
| allfieldsGer |
10.1140/epja/i2013-13078-7 doi (DE-627)SPR008280959 (SPR)i2013-13078-7-e DE-627 ger DE-627 rakwb eng 530 ASE 33.40 bkl 33.50 bkl Han, Hua-Yong verfasserin aut Twist-3 light-cone distribution amplitudes of the scalar mesons within the QCD sum rules and their application to the $B \rightarrow S$ transition form factors 2013 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier Abstract. We investigate the twist-3 light-cone distribution amplitudes (LCDAs) of the scalar mesons $ a_{0} $, $ K^{\ast}_{0}$ and $ f_{0} $ within the QCD sum rules. The QCD sum rules are improved by a consistent treatment of the sizable s -quark mass effects within the framework of the background field approach. Adopting the valence quark component $ (\bar{q}_{1} q_{2})$ as the dominant structure of the scalar mesons, our estimation for their masses is close to the measured $ a_{0}(1450)$ , $ K^{\ast}_{0}(1430)$ and $ f_{0}(1710)$ . From the sum rules, we obtain the first two non-zero moments of the twist-3 LCDAs $ \phi^{s,\sigma}_{a_{0}}$ : $ \langle \xi_{s,a_0}^{2(4)}\rangle=0.369\;(0.245)$ and $ \langle \xi_{\sigma,a_{0}}^{2(4)}\rangle=0.203 \;(0.093)$ ; those of the twist-3 LCDAs $ \phi_{K^{\ast}_{0}}^{s,\sigma}$ : $ \langle \xi_{s,K^{\ast}_{0}}^{1(2)}\rangle=0.004\;(0.355)$ and $ \langle \xi_{\sigma,K^{\ast}_{0}}^{1(2)}\rangle =0.018\;(0.207)$ ; and those of the twist-3 LCDAs $ \phi_{f_{0}}^{s,\sigma}$ : $ \langle \xi_{s,f_{0}}^{2(4)}\rangle=0.335\;(0.212)$ and $ \langle \xi_{\sigma,f_{0}}^{2(4)}\rangle=0.196\;(0.088)$ , respectively. As an application of those twist-3 LCDAs, we study the $ B\rightarrow S$ transition form factors by introducing proper chiral currents into the correlator, which is constructed such that the twist-3 LCDAs give dominant contribution and the twist-2 LCDAs make negligible contribution. Our results of the $ B\rightarrow S$ transition form factors at the large recoil region $ q^{2}\simeq 0$ are consistent with those obtained in the literature, which inversely shows the present twist-3 LCDAs are acceptable. Form Factor (dpeaa)DE-He213 Decay Constant (dpeaa)DE-He213 Scalar Meson (dpeaa)DE-He213 Transition Form Factor (dpeaa)DE-He213 Borel Parameter (dpeaa)DE-He213 Wu, Xing-Gang verfasserin aut Fu, Hai-Bing verfasserin aut Zhang, Qiong-Lian verfasserin aut Zhong, Tao verfasserin aut Enthalten in The European physical journal Berlin : Springer, 1998 49(2013), 6 vom: 26. Juni (DE-627)25372290X (DE-600)1459066-9 1434-601X nnns volume:49 year:2013 number:6 day:26 month:06 https://dx.doi.org/10.1140/epja/i2013-13078-7 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_SPRINGER GBV_ILN_11 GBV_ILN_20 GBV_ILN_22 GBV_ILN_23 GBV_ILN_24 GBV_ILN_31 GBV_ILN_32 GBV_ILN_39 GBV_ILN_40 GBV_ILN_60 GBV_ILN_62 GBV_ILN_63 GBV_ILN_69 GBV_ILN_70 GBV_ILN_73 GBV_ILN_74 GBV_ILN_90 GBV_ILN_95 GBV_ILN_100 GBV_ILN_101 GBV_ILN_105 GBV_ILN_110 GBV_ILN_120 GBV_ILN_138 GBV_ILN_150 GBV_ILN_151 GBV_ILN_152 GBV_ILN_161 GBV_ILN_170 GBV_ILN_171 GBV_ILN_187 GBV_ILN_206 GBV_ILN_213 GBV_ILN_224 GBV_ILN_230 GBV_ILN_250 GBV_ILN_267 GBV_ILN_281 GBV_ILN_285 GBV_ILN_293 GBV_ILN_370 GBV_ILN_602 GBV_ILN_636 GBV_ILN_702 GBV_ILN_2001 GBV_ILN_2003 GBV_ILN_2004 GBV_ILN_2005 GBV_ILN_2006 GBV_ILN_2007 GBV_ILN_2008 GBV_ILN_2009 GBV_ILN_2010 GBV_ILN_2011 GBV_ILN_2014 GBV_ILN_2015 GBV_ILN_2020 GBV_ILN_2021 GBV_ILN_2025 GBV_ILN_2026 GBV_ILN_2027 GBV_ILN_2031 GBV_ILN_2034 GBV_ILN_2037 GBV_ILN_2038 GBV_ILN_2039 GBV_ILN_2044 GBV_ILN_2048 GBV_ILN_2049 GBV_ILN_2050 GBV_ILN_2055 GBV_ILN_2056 GBV_ILN_2057 GBV_ILN_2059 GBV_ILN_2061 GBV_ILN_2064 GBV_ILN_2065 GBV_ILN_2068 GBV_ILN_2070 GBV_ILN_2086 GBV_ILN_2088 GBV_ILN_2093 GBV_ILN_2106 GBV_ILN_2107 GBV_ILN_2108 GBV_ILN_2110 GBV_ILN_2111 GBV_ILN_2112 GBV_ILN_2113 GBV_ILN_2116 GBV_ILN_2118 GBV_ILN_2119 GBV_ILN_2122 GBV_ILN_2129 GBV_ILN_2143 GBV_ILN_2144 GBV_ILN_2147 GBV_ILN_2148 GBV_ILN_2152 GBV_ILN_2153 GBV_ILN_2188 GBV_ILN_2190 GBV_ILN_2232 GBV_ILN_2336 GBV_ILN_2446 GBV_ILN_2470 GBV_ILN_2472 GBV_ILN_2507 GBV_ILN_2522 GBV_ILN_2548 GBV_ILN_4012 GBV_ILN_4035 GBV_ILN_4037 GBV_ILN_4046 GBV_ILN_4112 GBV_ILN_4125 GBV_ILN_4126 GBV_ILN_4242 GBV_ILN_4246 GBV_ILN_4249 GBV_ILN_4251 GBV_ILN_4305 GBV_ILN_4306 GBV_ILN_4307 GBV_ILN_4313 GBV_ILN_4322 GBV_ILN_4323 GBV_ILN_4324 GBV_ILN_4325 GBV_ILN_4326 GBV_ILN_4333 GBV_ILN_4334 GBV_ILN_4335 GBV_ILN_4336 GBV_ILN_4338 GBV_ILN_4393 GBV_ILN_4700 33.40 ASE 33.50 ASE AR 49 2013 6 26 06 |
| allfieldsSound |
10.1140/epja/i2013-13078-7 doi (DE-627)SPR008280959 (SPR)i2013-13078-7-e DE-627 ger DE-627 rakwb eng 530 ASE 33.40 bkl 33.50 bkl Han, Hua-Yong verfasserin aut Twist-3 light-cone distribution amplitudes of the scalar mesons within the QCD sum rules and their application to the $B \rightarrow S$ transition form factors 2013 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier Abstract. We investigate the twist-3 light-cone distribution amplitudes (LCDAs) of the scalar mesons $ a_{0} $, $ K^{\ast}_{0}$ and $ f_{0} $ within the QCD sum rules. The QCD sum rules are improved by a consistent treatment of the sizable s -quark mass effects within the framework of the background field approach. Adopting the valence quark component $ (\bar{q}_{1} q_{2})$ as the dominant structure of the scalar mesons, our estimation for their masses is close to the measured $ a_{0}(1450)$ , $ K^{\ast}_{0}(1430)$ and $ f_{0}(1710)$ . From the sum rules, we obtain the first two non-zero moments of the twist-3 LCDAs $ \phi^{s,\sigma}_{a_{0}}$ : $ \langle \xi_{s,a_0}^{2(4)}\rangle=0.369\;(0.245)$ and $ \langle \xi_{\sigma,a_{0}}^{2(4)}\rangle=0.203 \;(0.093)$ ; those of the twist-3 LCDAs $ \phi_{K^{\ast}_{0}}^{s,\sigma}$ : $ \langle \xi_{s,K^{\ast}_{0}}^{1(2)}\rangle=0.004\;(0.355)$ and $ \langle \xi_{\sigma,K^{\ast}_{0}}^{1(2)}\rangle =0.018\;(0.207)$ ; and those of the twist-3 LCDAs $ \phi_{f_{0}}^{s,\sigma}$ : $ \langle \xi_{s,f_{0}}^{2(4)}\rangle=0.335\;(0.212)$ and $ \langle \xi_{\sigma,f_{0}}^{2(4)}\rangle=0.196\;(0.088)$ , respectively. As an application of those twist-3 LCDAs, we study the $ B\rightarrow S$ transition form factors by introducing proper chiral currents into the correlator, which is constructed such that the twist-3 LCDAs give dominant contribution and the twist-2 LCDAs make negligible contribution. Our results of the $ B\rightarrow S$ transition form factors at the large recoil region $ q^{2}\simeq 0$ are consistent with those obtained in the literature, which inversely shows the present twist-3 LCDAs are acceptable. Form Factor (dpeaa)DE-He213 Decay Constant (dpeaa)DE-He213 Scalar Meson (dpeaa)DE-He213 Transition Form Factor (dpeaa)DE-He213 Borel Parameter (dpeaa)DE-He213 Wu, Xing-Gang verfasserin aut Fu, Hai-Bing verfasserin aut Zhang, Qiong-Lian verfasserin aut Zhong, Tao verfasserin aut Enthalten in The European physical journal Berlin : Springer, 1998 49(2013), 6 vom: 26. Juni (DE-627)25372290X (DE-600)1459066-9 1434-601X nnns volume:49 year:2013 number:6 day:26 month:06 https://dx.doi.org/10.1140/epja/i2013-13078-7 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_SPRINGER GBV_ILN_11 GBV_ILN_20 GBV_ILN_22 GBV_ILN_23 GBV_ILN_24 GBV_ILN_31 GBV_ILN_32 GBV_ILN_39 GBV_ILN_40 GBV_ILN_60 GBV_ILN_62 GBV_ILN_63 GBV_ILN_69 GBV_ILN_70 GBV_ILN_73 GBV_ILN_74 GBV_ILN_90 GBV_ILN_95 GBV_ILN_100 GBV_ILN_101 GBV_ILN_105 GBV_ILN_110 GBV_ILN_120 GBV_ILN_138 GBV_ILN_150 GBV_ILN_151 GBV_ILN_152 GBV_ILN_161 GBV_ILN_170 GBV_ILN_171 GBV_ILN_187 GBV_ILN_206 GBV_ILN_213 GBV_ILN_224 GBV_ILN_230 GBV_ILN_250 GBV_ILN_267 GBV_ILN_281 GBV_ILN_285 GBV_ILN_293 GBV_ILN_370 GBV_ILN_602 GBV_ILN_636 GBV_ILN_702 GBV_ILN_2001 GBV_ILN_2003 GBV_ILN_2004 GBV_ILN_2005 GBV_ILN_2006 GBV_ILN_2007 GBV_ILN_2008 GBV_ILN_2009 GBV_ILN_2010 GBV_ILN_2011 GBV_ILN_2014 GBV_ILN_2015 GBV_ILN_2020 GBV_ILN_2021 GBV_ILN_2025 GBV_ILN_2026 GBV_ILN_2027 GBV_ILN_2031 GBV_ILN_2034 GBV_ILN_2037 GBV_ILN_2038 GBV_ILN_2039 GBV_ILN_2044 GBV_ILN_2048 GBV_ILN_2049 GBV_ILN_2050 GBV_ILN_2055 GBV_ILN_2056 GBV_ILN_2057 GBV_ILN_2059 GBV_ILN_2061 GBV_ILN_2064 GBV_ILN_2065 GBV_ILN_2068 GBV_ILN_2070 GBV_ILN_2086 GBV_ILN_2088 GBV_ILN_2093 GBV_ILN_2106 GBV_ILN_2107 GBV_ILN_2108 GBV_ILN_2110 GBV_ILN_2111 GBV_ILN_2112 GBV_ILN_2113 GBV_ILN_2116 GBV_ILN_2118 GBV_ILN_2119 GBV_ILN_2122 GBV_ILN_2129 GBV_ILN_2143 GBV_ILN_2144 GBV_ILN_2147 GBV_ILN_2148 GBV_ILN_2152 GBV_ILN_2153 GBV_ILN_2188 GBV_ILN_2190 GBV_ILN_2232 GBV_ILN_2336 GBV_ILN_2446 GBV_ILN_2470 GBV_ILN_2472 GBV_ILN_2507 GBV_ILN_2522 GBV_ILN_2548 GBV_ILN_4012 GBV_ILN_4035 GBV_ILN_4037 GBV_ILN_4046 GBV_ILN_4112 GBV_ILN_4125 GBV_ILN_4126 GBV_ILN_4242 GBV_ILN_4246 GBV_ILN_4249 GBV_ILN_4251 GBV_ILN_4305 GBV_ILN_4306 GBV_ILN_4307 GBV_ILN_4313 GBV_ILN_4322 GBV_ILN_4323 GBV_ILN_4324 GBV_ILN_4325 GBV_ILN_4326 GBV_ILN_4333 GBV_ILN_4334 GBV_ILN_4335 GBV_ILN_4336 GBV_ILN_4338 GBV_ILN_4393 GBV_ILN_4700 33.40 ASE 33.50 ASE AR 49 2013 6 26 06 |
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Enthalten in The European physical journal 49(2013), 6 vom: 26. Juni volume:49 year:2013 number:6 day:26 month:06 |
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Form Factor Decay Constant Scalar Meson Transition Form Factor Borel Parameter |
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The European physical journal |
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Han, Hua-Yong @@aut@@ Wu, Xing-Gang @@aut@@ Fu, Hai-Bing @@aut@@ Zhang, Qiong-Lian @@aut@@ Zhong, Tao @@aut@@ |
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We investigate the twist-3 light-cone distribution amplitudes (LCDAs) of the scalar mesons $ a_{0} $, $ K^{\ast}_{0}$ and $ f_{0} $ within the QCD sum rules. The QCD sum rules are improved by a consistent treatment of the sizable s -quark mass effects within the framework of the background field approach. Adopting the valence quark component $ (\bar{q}_{1} q_{2})$ as the dominant structure of the scalar mesons, our estimation for their masses is close to the measured $ a_{0}(1450)$ , $ K^{\ast}_{0}(1430)$ and $ f_{0}(1710)$ . From the sum rules, we obtain the first two non-zero moments of the twist-3 LCDAs $ \phi^{s,\sigma}_{a_{0}}$ : $ \langle \xi_{s,a_0}^{2(4)}\rangle=0.369\;(0.245)$ and $ \langle \xi_{\sigma,a_{0}}^{2(4)}\rangle=0.203 \;(0.093)$ ; those of the twist-3 LCDAs $ \phi_{K^{\ast}_{0}}^{s,\sigma}$ : $ \langle \xi_{s,K^{\ast}_{0}}^{1(2)}\rangle=0.004\;(0.355)$ and $ \langle \xi_{\sigma,K^{\ast}_{0}}^{1(2)}\rangle =0.018\;(0.207)$ ; and those of the twist-3 LCDAs $ \phi_{f_{0}}^{s,\sigma}$ : $ \langle \xi_{s,f_{0}}^{2(4)}\rangle=0.335\;(0.212)$ and $ \langle \xi_{\sigma,f_{0}}^{2(4)}\rangle=0.196\;(0.088)$ , respectively. As an application of those twist-3 LCDAs, we study the $ B\rightarrow S$ transition form factors by introducing proper chiral currents into the correlator, which is constructed such that the twist-3 LCDAs give dominant contribution and the twist-2 LCDAs make negligible contribution. 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Han, Hua-Yong |
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Han, Hua-Yong ddc 530 bkl 33.40 bkl 33.50 misc Form Factor misc Decay Constant misc Scalar Meson misc Transition Form Factor misc Borel Parameter Twist-3 light-cone distribution amplitudes of the scalar mesons within the QCD sum rules and their application to the $B \rightarrow S$ transition form factors |
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530 ASE 33.40 bkl 33.50 bkl Twist-3 light-cone distribution amplitudes of the scalar mesons within the QCD sum rules and their application to the $B \rightarrow S$ transition form factors Form Factor (dpeaa)DE-He213 Decay Constant (dpeaa)DE-He213 Scalar Meson (dpeaa)DE-He213 Transition Form Factor (dpeaa)DE-He213 Borel Parameter (dpeaa)DE-He213 |
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ddc 530 bkl 33.40 bkl 33.50 misc Form Factor misc Decay Constant misc Scalar Meson misc Transition Form Factor misc Borel Parameter |
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ddc 530 bkl 33.40 bkl 33.50 misc Form Factor misc Decay Constant misc Scalar Meson misc Transition Form Factor misc Borel Parameter |
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Twist-3 light-cone distribution amplitudes of the scalar mesons within the QCD sum rules and their application to the $B \rightarrow S$ transition form factors |
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(DE-627)SPR008280959 (SPR)i2013-13078-7-e |
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Twist-3 light-cone distribution amplitudes of the scalar mesons within the QCD sum rules and their application to the $B \rightarrow S$ transition form factors |
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Han, Hua-Yong |
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The European physical journal |
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Han, Hua-Yong Wu, Xing-Gang Fu, Hai-Bing Zhang, Qiong-Lian Zhong, Tao |
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Han, Hua-Yong |
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10.1140/epja/i2013-13078-7 |
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twist-3 light-cone distribution amplitudes of the scalar mesons within the qcd sum rules and their application to the $b \rightarrow s$ transition form factors |
| title_auth |
Twist-3 light-cone distribution amplitudes of the scalar mesons within the QCD sum rules and their application to the $B \rightarrow S$ transition form factors |
| abstract |
Abstract. We investigate the twist-3 light-cone distribution amplitudes (LCDAs) of the scalar mesons $ a_{0} $, $ K^{\ast}_{0}$ and $ f_{0} $ within the QCD sum rules. The QCD sum rules are improved by a consistent treatment of the sizable s -quark mass effects within the framework of the background field approach. Adopting the valence quark component $ (\bar{q}_{1} q_{2})$ as the dominant structure of the scalar mesons, our estimation for their masses is close to the measured $ a_{0}(1450)$ , $ K^{\ast}_{0}(1430)$ and $ f_{0}(1710)$ . From the sum rules, we obtain the first two non-zero moments of the twist-3 LCDAs $ \phi^{s,\sigma}_{a_{0}}$ : $ \langle \xi_{s,a_0}^{2(4)}\rangle=0.369\;(0.245)$ and $ \langle \xi_{\sigma,a_{0}}^{2(4)}\rangle=0.203 \;(0.093)$ ; those of the twist-3 LCDAs $ \phi_{K^{\ast}_{0}}^{s,\sigma}$ : $ \langle \xi_{s,K^{\ast}_{0}}^{1(2)}\rangle=0.004\;(0.355)$ and $ \langle \xi_{\sigma,K^{\ast}_{0}}^{1(2)}\rangle =0.018\;(0.207)$ ; and those of the twist-3 LCDAs $ \phi_{f_{0}}^{s,\sigma}$ : $ \langle \xi_{s,f_{0}}^{2(4)}\rangle=0.335\;(0.212)$ and $ \langle \xi_{\sigma,f_{0}}^{2(4)}\rangle=0.196\;(0.088)$ , respectively. As an application of those twist-3 LCDAs, we study the $ B\rightarrow S$ transition form factors by introducing proper chiral currents into the correlator, which is constructed such that the twist-3 LCDAs give dominant contribution and the twist-2 LCDAs make negligible contribution. Our results of the $ B\rightarrow S$ transition form factors at the large recoil region $ q^{2}\simeq 0$ are consistent with those obtained in the literature, which inversely shows the present twist-3 LCDAs are acceptable. |
| abstractGer |
Abstract. We investigate the twist-3 light-cone distribution amplitudes (LCDAs) of the scalar mesons $ a_{0} $, $ K^{\ast}_{0}$ and $ f_{0} $ within the QCD sum rules. The QCD sum rules are improved by a consistent treatment of the sizable s -quark mass effects within the framework of the background field approach. Adopting the valence quark component $ (\bar{q}_{1} q_{2})$ as the dominant structure of the scalar mesons, our estimation for their masses is close to the measured $ a_{0}(1450)$ , $ K^{\ast}_{0}(1430)$ and $ f_{0}(1710)$ . From the sum rules, we obtain the first two non-zero moments of the twist-3 LCDAs $ \phi^{s,\sigma}_{a_{0}}$ : $ \langle \xi_{s,a_0}^{2(4)}\rangle=0.369\;(0.245)$ and $ \langle \xi_{\sigma,a_{0}}^{2(4)}\rangle=0.203 \;(0.093)$ ; those of the twist-3 LCDAs $ \phi_{K^{\ast}_{0}}^{s,\sigma}$ : $ \langle \xi_{s,K^{\ast}_{0}}^{1(2)}\rangle=0.004\;(0.355)$ and $ \langle \xi_{\sigma,K^{\ast}_{0}}^{1(2)}\rangle =0.018\;(0.207)$ ; and those of the twist-3 LCDAs $ \phi_{f_{0}}^{s,\sigma}$ : $ \langle \xi_{s,f_{0}}^{2(4)}\rangle=0.335\;(0.212)$ and $ \langle \xi_{\sigma,f_{0}}^{2(4)}\rangle=0.196\;(0.088)$ , respectively. As an application of those twist-3 LCDAs, we study the $ B\rightarrow S$ transition form factors by introducing proper chiral currents into the correlator, which is constructed such that the twist-3 LCDAs give dominant contribution and the twist-2 LCDAs make negligible contribution. Our results of the $ B\rightarrow S$ transition form factors at the large recoil region $ q^{2}\simeq 0$ are consistent with those obtained in the literature, which inversely shows the present twist-3 LCDAs are acceptable. |
| abstract_unstemmed |
Abstract. We investigate the twist-3 light-cone distribution amplitudes (LCDAs) of the scalar mesons $ a_{0} $, $ K^{\ast}_{0}$ and $ f_{0} $ within the QCD sum rules. The QCD sum rules are improved by a consistent treatment of the sizable s -quark mass effects within the framework of the background field approach. Adopting the valence quark component $ (\bar{q}_{1} q_{2})$ as the dominant structure of the scalar mesons, our estimation for their masses is close to the measured $ a_{0}(1450)$ , $ K^{\ast}_{0}(1430)$ and $ f_{0}(1710)$ . From the sum rules, we obtain the first two non-zero moments of the twist-3 LCDAs $ \phi^{s,\sigma}_{a_{0}}$ : $ \langle \xi_{s,a_0}^{2(4)}\rangle=0.369\;(0.245)$ and $ \langle \xi_{\sigma,a_{0}}^{2(4)}\rangle=0.203 \;(0.093)$ ; those of the twist-3 LCDAs $ \phi_{K^{\ast}_{0}}^{s,\sigma}$ : $ \langle \xi_{s,K^{\ast}_{0}}^{1(2)}\rangle=0.004\;(0.355)$ and $ \langle \xi_{\sigma,K^{\ast}_{0}}^{1(2)}\rangle =0.018\;(0.207)$ ; and those of the twist-3 LCDAs $ \phi_{f_{0}}^{s,\sigma}$ : $ \langle \xi_{s,f_{0}}^{2(4)}\rangle=0.335\;(0.212)$ and $ \langle \xi_{\sigma,f_{0}}^{2(4)}\rangle=0.196\;(0.088)$ , respectively. As an application of those twist-3 LCDAs, we study the $ B\rightarrow S$ transition form factors by introducing proper chiral currents into the correlator, which is constructed such that the twist-3 LCDAs give dominant contribution and the twist-2 LCDAs make negligible contribution. Our results of the $ B\rightarrow S$ transition form factors at the large recoil region $ q^{2}\simeq 0$ are consistent with those obtained in the literature, which inversely shows the present twist-3 LCDAs are acceptable. |
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Twist-3 light-cone distribution amplitudes of the scalar mesons within the QCD sum rules and their application to the $B \rightarrow S$ transition form factors |
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Wu, Xing-Gang Fu, Hai-Bing Zhang, Qiong-Lian Zhong, Tao |
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10.1140/epja/i2013-13078-7 |
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We investigate the twist-3 light-cone distribution amplitudes (LCDAs) of the scalar mesons $ a_{0} $, $ K^{\ast}_{0}$ and $ f_{0} $ within the QCD sum rules. The QCD sum rules are improved by a consistent treatment of the sizable s -quark mass effects within the framework of the background field approach. Adopting the valence quark component $ (\bar{q}_{1} q_{2})$ as the dominant structure of the scalar mesons, our estimation for their masses is close to the measured $ a_{0}(1450)$ , $ K^{\ast}_{0}(1430)$ and $ f_{0}(1710)$ . From the sum rules, we obtain the first two non-zero moments of the twist-3 LCDAs $ \phi^{s,\sigma}_{a_{0}}$ : $ \langle \xi_{s,a_0}^{2(4)}\rangle=0.369\;(0.245)$ and $ \langle \xi_{\sigma,a_{0}}^{2(4)}\rangle=0.203 \;(0.093)$ ; those of the twist-3 LCDAs $ \phi_{K^{\ast}_{0}}^{s,\sigma}$ : $ \langle \xi_{s,K^{\ast}_{0}}^{1(2)}\rangle=0.004\;(0.355)$ and $ \langle \xi_{\sigma,K^{\ast}_{0}}^{1(2)}\rangle =0.018\;(0.207)$ ; and those of the twist-3 LCDAs $ \phi_{f_{0}}^{s,\sigma}$ : $ \langle \xi_{s,f_{0}}^{2(4)}\rangle=0.335\;(0.212)$ and $ \langle \xi_{\sigma,f_{0}}^{2(4)}\rangle=0.196\;(0.088)$ , respectively. As an application of those twist-3 LCDAs, we study the $ B\rightarrow S$ transition form factors by introducing proper chiral currents into the correlator, which is constructed such that the twist-3 LCDAs give dominant contribution and the twist-2 LCDAs make negligible contribution. Our results of the $ B\rightarrow S$ transition form factors at the large recoil region $ q^{2}\simeq 0$ are consistent with those obtained in the literature, which inversely shows the present twist-3 LCDAs are acceptable.</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Form Factor</subfield><subfield code="7">(dpeaa)DE-He213</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Decay Constant</subfield><subfield code="7">(dpeaa)DE-He213</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Scalar Meson</subfield><subfield code="7">(dpeaa)DE-He213</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Transition Form Factor</subfield><subfield code="7">(dpeaa)DE-He213</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Borel Parameter</subfield><subfield code="7">(dpeaa)DE-He213</subfield></datafield><datafield tag="700" ind1="1" ind2=" "><subfield code="a">Wu, Xing-Gang</subfield><subfield code="e">verfasserin</subfield><subfield code="4">aut</subfield></datafield><datafield tag="700" ind1="1" ind2=" "><subfield code="a">Fu, Hai-Bing</subfield><subfield code="e">verfasserin</subfield><subfield code="4">aut</subfield></datafield><datafield tag="700" ind1="1" ind2=" "><subfield code="a">Zhang, Qiong-Lian</subfield><subfield code="e">verfasserin</subfield><subfield code="4">aut</subfield></datafield><datafield tag="700" ind1="1" ind2=" "><subfield code="a">Zhong, Tao</subfield><subfield code="e">verfasserin</subfield><subfield code="4">aut</subfield></datafield><datafield tag="773" ind1="0" ind2="8"><subfield code="i">Enthalten in</subfield><subfield code="t">The European physical journal</subfield><subfield code="d">Berlin : Springer, 1998</subfield><subfield code="g">49(2013), 6 vom: 26. 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