An effective Coulomb interaction in nuclear energy density functionals
It is well-known that the charge-violating interaction is usually underestimated in nuclear many-body approaches. In the framework of the Skyrme–Hartree–Fock (SHF) method, the effective two-body charge-symmetry breaking (CSB) and charge-independent breaking (CIB) interactions in nuclear medium based...
Ausführliche Beschreibung
Gespeichert in:
| Autor*in: |
Dong, J.M. [verfasserIn] |
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| Format: |
E-Artikel |
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| Sprache: |
Englisch |
| Erschienen: |
2019transfer abstract |
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| Schlagwörter: |
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| Umfang: |
12 |
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| Übergeordnetes Werk: |
Enthalten in: Historical (retrospective) cohort studies and other epidemiologic study designs in perinatal research - Klebanoff, Mark A. ELSEVIER, 2018, journal devoted to the experimental and theoretical study of the fundamental constituents of matter and their interactions, Amsterdam |
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| Übergeordnetes Werk: |
volume:983 ; year:2019 ; pages:133-144 ; extent:12 |
| Links: |
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| DOI / URN: |
10.1016/j.nuclphysa.2019.01.003 |
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ELV045642931 |
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| 245 | 1 | 0 | |a An effective Coulomb interaction in nuclear energy density functionals |
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| 520 | |a It is well-known that the charge-violating interaction is usually underestimated in nuclear many-body approaches. In the framework of the Skyrme–Hartree–Fock (SHF) method, the effective two-body charge-symmetry breaking (CSB) and charge-independent breaking (CIB) interactions in nuclear medium based on Brueckner theory are included, then we constrain the effective Coulomb interaction in turn with the help of experimental Coulomb displacement energy (CDE), i.e., the binding-energy difference between mirror nuclei. Accordingly, we introduce a new (effective) Coulomb coupling constant e 0 2 = e 2 ( 1 + a exc Z − 2 / 3 ) to replace the original one e 2 between protons (note that the original coupling constant just applies to point-like charge), where Z is proton number. This effective coupling constant e 0 2 is phenomenologically embodying the effects of many complicated corrections beyond mean-field method or even nuclear structure physics such as core polarization, nucleon finite size and vacuum polarization. With e 0 2 = e 2 ( 1 + 0.45 Z − 2 / 3 ) for SLy4 interaction, the experimental CDE for T = 1 / 2 , 1 , 3 / 2 , 2 isobaric multiplets, together with the excitation energy of isobaric analog states for heavy nuclei such as 208Pb, can be rather well reproduced, indicating the validity of such a treatment. Moreover, the c coefficients in the isobaric multiplet mass equation for isobaric quartets are computed, and the results based on Coulomb force turns out to be around 10%–15% lower than the experimental ones persistently, just as the Nolen–Schiffer anomaly. Yet, the introduction of both the CIB effect and the e 0 2 systematically improves the agreement with experimental data substantially. | ||
| 520 | |a It is well-known that the charge-violating interaction is usually underestimated in nuclear many-body approaches. In the framework of the Skyrme–Hartree–Fock (SHF) method, the effective two-body charge-symmetry breaking (CSB) and charge-independent breaking (CIB) interactions in nuclear medium based on Brueckner theory are included, then we constrain the effective Coulomb interaction in turn with the help of experimental Coulomb displacement energy (CDE), i.e., the binding-energy difference between mirror nuclei. Accordingly, we introduce a new (effective) Coulomb coupling constant e 0 2 = e 2 ( 1 + a exc Z − 2 / 3 ) to replace the original one e 2 between protons (note that the original coupling constant just applies to point-like charge), where Z is proton number. This effective coupling constant e 0 2 is phenomenologically embodying the effects of many complicated corrections beyond mean-field method or even nuclear structure physics such as core polarization, nucleon finite size and vacuum polarization. With e 0 2 = e 2 ( 1 + 0.45 Z − 2 / 3 ) for SLy4 interaction, the experimental CDE for T = 1 / 2 , 1 , 3 / 2 , 2 isobaric multiplets, together with the excitation energy of isobaric analog states for heavy nuclei such as 208Pb, can be rather well reproduced, indicating the validity of such a treatment. Moreover, the c coefficients in the isobaric multiplet mass equation for isobaric quartets are computed, and the results based on Coulomb force turns out to be around 10%–15% lower than the experimental ones persistently, just as the Nolen–Schiffer anomaly. Yet, the introduction of both the CIB effect and the e 0 2 systematically improves the agreement with experimental data substantially. | ||
| 650 | 7 | |a Charge-symmetry breaking |2 Elsevier | |
| 650 | 7 | |a Coulomb interaction |2 Elsevier | |
| 650 | 7 | |a Brueckner theory |2 Elsevier | |
| 650 | 7 | |a Nuclear energy density functionals |2 Elsevier | |
| 700 | 1 | |a Shang, X.L. |4 oth | |
| 700 | 1 | |a Zuo, W. |4 oth | |
| 700 | 1 | |a Niu, Y.F. |4 oth | |
| 700 | 1 | |a Sun, Y. |4 oth | |
| 773 | 0 | 8 | |i Enthalten in |n North-Holland Publ. Co |a Klebanoff, Mark A. ELSEVIER |t Historical (retrospective) cohort studies and other epidemiologic study designs in perinatal research |d 2018 |d journal devoted to the experimental and theoretical study of the fundamental constituents of matter and their interactions |g Amsterdam |w (DE-627)ELV000986615 |
| 773 | 1 | 8 | |g volume:983 |g year:2019 |g pages:133-144 |g extent:12 |
| 856 | 4 | 0 | |u https://doi.org/10.1016/j.nuclphysa.2019.01.003 |3 Volltext |
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10.1016/j.nuclphysa.2019.01.003 doi GBV00000000000507.pica (DE-627)ELV045642931 (ELSEVIER)S0375-9474(19)30005-3 DE-627 ger DE-627 rakwb eng 610 VZ 44.92 bkl Dong, J.M. verfasserin aut An effective Coulomb interaction in nuclear energy density functionals 2019transfer abstract 12 nicht spezifiziert zzz rdacontent nicht spezifiziert z rdamedia nicht spezifiziert zu rdacarrier It is well-known that the charge-violating interaction is usually underestimated in nuclear many-body approaches. In the framework of the Skyrme–Hartree–Fock (SHF) method, the effective two-body charge-symmetry breaking (CSB) and charge-independent breaking (CIB) interactions in nuclear medium based on Brueckner theory are included, then we constrain the effective Coulomb interaction in turn with the help of experimental Coulomb displacement energy (CDE), i.e., the binding-energy difference between mirror nuclei. Accordingly, we introduce a new (effective) Coulomb coupling constant e 0 2 = e 2 ( 1 + a exc Z − 2 / 3 ) to replace the original one e 2 between protons (note that the original coupling constant just applies to point-like charge), where Z is proton number. This effective coupling constant e 0 2 is phenomenologically embodying the effects of many complicated corrections beyond mean-field method or even nuclear structure physics such as core polarization, nucleon finite size and vacuum polarization. With e 0 2 = e 2 ( 1 + 0.45 Z − 2 / 3 ) for SLy4 interaction, the experimental CDE for T = 1 / 2 , 1 , 3 / 2 , 2 isobaric multiplets, together with the excitation energy of isobaric analog states for heavy nuclei such as 208Pb, can be rather well reproduced, indicating the validity of such a treatment. Moreover, the c coefficients in the isobaric multiplet mass equation for isobaric quartets are computed, and the results based on Coulomb force turns out to be around 10%–15% lower than the experimental ones persistently, just as the Nolen–Schiffer anomaly. Yet, the introduction of both the CIB effect and the e 0 2 systematically improves the agreement with experimental data substantially. It is well-known that the charge-violating interaction is usually underestimated in nuclear many-body approaches. In the framework of the Skyrme–Hartree–Fock (SHF) method, the effective two-body charge-symmetry breaking (CSB) and charge-independent breaking (CIB) interactions in nuclear medium based on Brueckner theory are included, then we constrain the effective Coulomb interaction in turn with the help of experimental Coulomb displacement energy (CDE), i.e., the binding-energy difference between mirror nuclei. Accordingly, we introduce a new (effective) Coulomb coupling constant e 0 2 = e 2 ( 1 + a exc Z − 2 / 3 ) to replace the original one e 2 between protons (note that the original coupling constant just applies to point-like charge), where Z is proton number. This effective coupling constant e 0 2 is phenomenologically embodying the effects of many complicated corrections beyond mean-field method or even nuclear structure physics such as core polarization, nucleon finite size and vacuum polarization. With e 0 2 = e 2 ( 1 + 0.45 Z − 2 / 3 ) for SLy4 interaction, the experimental CDE for T = 1 / 2 , 1 , 3 / 2 , 2 isobaric multiplets, together with the excitation energy of isobaric analog states for heavy nuclei such as 208Pb, can be rather well reproduced, indicating the validity of such a treatment. Moreover, the c coefficients in the isobaric multiplet mass equation for isobaric quartets are computed, and the results based on Coulomb force turns out to be around 10%–15% lower than the experimental ones persistently, just as the Nolen–Schiffer anomaly. Yet, the introduction of both the CIB effect and the e 0 2 systematically improves the agreement with experimental data substantially. Charge-symmetry breaking Elsevier Coulomb interaction Elsevier Brueckner theory Elsevier Nuclear energy density functionals Elsevier Shang, X.L. oth Zuo, W. oth Niu, Y.F. oth Sun, Y. oth Enthalten in North-Holland Publ. Co Klebanoff, Mark A. ELSEVIER Historical (retrospective) cohort studies and other epidemiologic study designs in perinatal research 2018 journal devoted to the experimental and theoretical study of the fundamental constituents of matter and their interactions Amsterdam (DE-627)ELV000986615 volume:983 year:2019 pages:133-144 extent:12 https://doi.org/10.1016/j.nuclphysa.2019.01.003 Volltext GBV_USEFLAG_U GBV_ELV SYSFLAG_U SSG-OLC-PHA 44.92 Gynäkologie VZ AR 983 2019 133-144 12 |
| spelling |
10.1016/j.nuclphysa.2019.01.003 doi GBV00000000000507.pica (DE-627)ELV045642931 (ELSEVIER)S0375-9474(19)30005-3 DE-627 ger DE-627 rakwb eng 610 VZ 44.92 bkl Dong, J.M. verfasserin aut An effective Coulomb interaction in nuclear energy density functionals 2019transfer abstract 12 nicht spezifiziert zzz rdacontent nicht spezifiziert z rdamedia nicht spezifiziert zu rdacarrier It is well-known that the charge-violating interaction is usually underestimated in nuclear many-body approaches. In the framework of the Skyrme–Hartree–Fock (SHF) method, the effective two-body charge-symmetry breaking (CSB) and charge-independent breaking (CIB) interactions in nuclear medium based on Brueckner theory are included, then we constrain the effective Coulomb interaction in turn with the help of experimental Coulomb displacement energy (CDE), i.e., the binding-energy difference between mirror nuclei. Accordingly, we introduce a new (effective) Coulomb coupling constant e 0 2 = e 2 ( 1 + a exc Z − 2 / 3 ) to replace the original one e 2 between protons (note that the original coupling constant just applies to point-like charge), where Z is proton number. This effective coupling constant e 0 2 is phenomenologically embodying the effects of many complicated corrections beyond mean-field method or even nuclear structure physics such as core polarization, nucleon finite size and vacuum polarization. With e 0 2 = e 2 ( 1 + 0.45 Z − 2 / 3 ) for SLy4 interaction, the experimental CDE for T = 1 / 2 , 1 , 3 / 2 , 2 isobaric multiplets, together with the excitation energy of isobaric analog states for heavy nuclei such as 208Pb, can be rather well reproduced, indicating the validity of such a treatment. Moreover, the c coefficients in the isobaric multiplet mass equation for isobaric quartets are computed, and the results based on Coulomb force turns out to be around 10%–15% lower than the experimental ones persistently, just as the Nolen–Schiffer anomaly. Yet, the introduction of both the CIB effect and the e 0 2 systematically improves the agreement with experimental data substantially. It is well-known that the charge-violating interaction is usually underestimated in nuclear many-body approaches. In the framework of the Skyrme–Hartree–Fock (SHF) method, the effective two-body charge-symmetry breaking (CSB) and charge-independent breaking (CIB) interactions in nuclear medium based on Brueckner theory are included, then we constrain the effective Coulomb interaction in turn with the help of experimental Coulomb displacement energy (CDE), i.e., the binding-energy difference between mirror nuclei. Accordingly, we introduce a new (effective) Coulomb coupling constant e 0 2 = e 2 ( 1 + a exc Z − 2 / 3 ) to replace the original one e 2 between protons (note that the original coupling constant just applies to point-like charge), where Z is proton number. This effective coupling constant e 0 2 is phenomenologically embodying the effects of many complicated corrections beyond mean-field method or even nuclear structure physics such as core polarization, nucleon finite size and vacuum polarization. With e 0 2 = e 2 ( 1 + 0.45 Z − 2 / 3 ) for SLy4 interaction, the experimental CDE for T = 1 / 2 , 1 , 3 / 2 , 2 isobaric multiplets, together with the excitation energy of isobaric analog states for heavy nuclei such as 208Pb, can be rather well reproduced, indicating the validity of such a treatment. Moreover, the c coefficients in the isobaric multiplet mass equation for isobaric quartets are computed, and the results based on Coulomb force turns out to be around 10%–15% lower than the experimental ones persistently, just as the Nolen–Schiffer anomaly. Yet, the introduction of both the CIB effect and the e 0 2 systematically improves the agreement with experimental data substantially. Charge-symmetry breaking Elsevier Coulomb interaction Elsevier Brueckner theory Elsevier Nuclear energy density functionals Elsevier Shang, X.L. oth Zuo, W. oth Niu, Y.F. oth Sun, Y. oth Enthalten in North-Holland Publ. Co Klebanoff, Mark A. ELSEVIER Historical (retrospective) cohort studies and other epidemiologic study designs in perinatal research 2018 journal devoted to the experimental and theoretical study of the fundamental constituents of matter and their interactions Amsterdam (DE-627)ELV000986615 volume:983 year:2019 pages:133-144 extent:12 https://doi.org/10.1016/j.nuclphysa.2019.01.003 Volltext GBV_USEFLAG_U GBV_ELV SYSFLAG_U SSG-OLC-PHA 44.92 Gynäkologie VZ AR 983 2019 133-144 12 |
| allfields_unstemmed |
10.1016/j.nuclphysa.2019.01.003 doi GBV00000000000507.pica (DE-627)ELV045642931 (ELSEVIER)S0375-9474(19)30005-3 DE-627 ger DE-627 rakwb eng 610 VZ 44.92 bkl Dong, J.M. verfasserin aut An effective Coulomb interaction in nuclear energy density functionals 2019transfer abstract 12 nicht spezifiziert zzz rdacontent nicht spezifiziert z rdamedia nicht spezifiziert zu rdacarrier It is well-known that the charge-violating interaction is usually underestimated in nuclear many-body approaches. In the framework of the Skyrme–Hartree–Fock (SHF) method, the effective two-body charge-symmetry breaking (CSB) and charge-independent breaking (CIB) interactions in nuclear medium based on Brueckner theory are included, then we constrain the effective Coulomb interaction in turn with the help of experimental Coulomb displacement energy (CDE), i.e., the binding-energy difference between mirror nuclei. Accordingly, we introduce a new (effective) Coulomb coupling constant e 0 2 = e 2 ( 1 + a exc Z − 2 / 3 ) to replace the original one e 2 between protons (note that the original coupling constant just applies to point-like charge), where Z is proton number. This effective coupling constant e 0 2 is phenomenologically embodying the effects of many complicated corrections beyond mean-field method or even nuclear structure physics such as core polarization, nucleon finite size and vacuum polarization. With e 0 2 = e 2 ( 1 + 0.45 Z − 2 / 3 ) for SLy4 interaction, the experimental CDE for T = 1 / 2 , 1 , 3 / 2 , 2 isobaric multiplets, together with the excitation energy of isobaric analog states for heavy nuclei such as 208Pb, can be rather well reproduced, indicating the validity of such a treatment. Moreover, the c coefficients in the isobaric multiplet mass equation for isobaric quartets are computed, and the results based on Coulomb force turns out to be around 10%–15% lower than the experimental ones persistently, just as the Nolen–Schiffer anomaly. Yet, the introduction of both the CIB effect and the e 0 2 systematically improves the agreement with experimental data substantially. It is well-known that the charge-violating interaction is usually underestimated in nuclear many-body approaches. In the framework of the Skyrme–Hartree–Fock (SHF) method, the effective two-body charge-symmetry breaking (CSB) and charge-independent breaking (CIB) interactions in nuclear medium based on Brueckner theory are included, then we constrain the effective Coulomb interaction in turn with the help of experimental Coulomb displacement energy (CDE), i.e., the binding-energy difference between mirror nuclei. Accordingly, we introduce a new (effective) Coulomb coupling constant e 0 2 = e 2 ( 1 + a exc Z − 2 / 3 ) to replace the original one e 2 between protons (note that the original coupling constant just applies to point-like charge), where Z is proton number. This effective coupling constant e 0 2 is phenomenologically embodying the effects of many complicated corrections beyond mean-field method or even nuclear structure physics such as core polarization, nucleon finite size and vacuum polarization. With e 0 2 = e 2 ( 1 + 0.45 Z − 2 / 3 ) for SLy4 interaction, the experimental CDE for T = 1 / 2 , 1 , 3 / 2 , 2 isobaric multiplets, together with the excitation energy of isobaric analog states for heavy nuclei such as 208Pb, can be rather well reproduced, indicating the validity of such a treatment. Moreover, the c coefficients in the isobaric multiplet mass equation for isobaric quartets are computed, and the results based on Coulomb force turns out to be around 10%–15% lower than the experimental ones persistently, just as the Nolen–Schiffer anomaly. Yet, the introduction of both the CIB effect and the e 0 2 systematically improves the agreement with experimental data substantially. Charge-symmetry breaking Elsevier Coulomb interaction Elsevier Brueckner theory Elsevier Nuclear energy density functionals Elsevier Shang, X.L. oth Zuo, W. oth Niu, Y.F. oth Sun, Y. oth Enthalten in North-Holland Publ. Co Klebanoff, Mark A. ELSEVIER Historical (retrospective) cohort studies and other epidemiologic study designs in perinatal research 2018 journal devoted to the experimental and theoretical study of the fundamental constituents of matter and their interactions Amsterdam (DE-627)ELV000986615 volume:983 year:2019 pages:133-144 extent:12 https://doi.org/10.1016/j.nuclphysa.2019.01.003 Volltext GBV_USEFLAG_U GBV_ELV SYSFLAG_U SSG-OLC-PHA 44.92 Gynäkologie VZ AR 983 2019 133-144 12 |
| allfieldsGer |
10.1016/j.nuclphysa.2019.01.003 doi GBV00000000000507.pica (DE-627)ELV045642931 (ELSEVIER)S0375-9474(19)30005-3 DE-627 ger DE-627 rakwb eng 610 VZ 44.92 bkl Dong, J.M. verfasserin aut An effective Coulomb interaction in nuclear energy density functionals 2019transfer abstract 12 nicht spezifiziert zzz rdacontent nicht spezifiziert z rdamedia nicht spezifiziert zu rdacarrier It is well-known that the charge-violating interaction is usually underestimated in nuclear many-body approaches. In the framework of the Skyrme–Hartree–Fock (SHF) method, the effective two-body charge-symmetry breaking (CSB) and charge-independent breaking (CIB) interactions in nuclear medium based on Brueckner theory are included, then we constrain the effective Coulomb interaction in turn with the help of experimental Coulomb displacement energy (CDE), i.e., the binding-energy difference between mirror nuclei. Accordingly, we introduce a new (effective) Coulomb coupling constant e 0 2 = e 2 ( 1 + a exc Z − 2 / 3 ) to replace the original one e 2 between protons (note that the original coupling constant just applies to point-like charge), where Z is proton number. This effective coupling constant e 0 2 is phenomenologically embodying the effects of many complicated corrections beyond mean-field method or even nuclear structure physics such as core polarization, nucleon finite size and vacuum polarization. With e 0 2 = e 2 ( 1 + 0.45 Z − 2 / 3 ) for SLy4 interaction, the experimental CDE for T = 1 / 2 , 1 , 3 / 2 , 2 isobaric multiplets, together with the excitation energy of isobaric analog states for heavy nuclei such as 208Pb, can be rather well reproduced, indicating the validity of such a treatment. Moreover, the c coefficients in the isobaric multiplet mass equation for isobaric quartets are computed, and the results based on Coulomb force turns out to be around 10%–15% lower than the experimental ones persistently, just as the Nolen–Schiffer anomaly. Yet, the introduction of both the CIB effect and the e 0 2 systematically improves the agreement with experimental data substantially. It is well-known that the charge-violating interaction is usually underestimated in nuclear many-body approaches. In the framework of the Skyrme–Hartree–Fock (SHF) method, the effective two-body charge-symmetry breaking (CSB) and charge-independent breaking (CIB) interactions in nuclear medium based on Brueckner theory are included, then we constrain the effective Coulomb interaction in turn with the help of experimental Coulomb displacement energy (CDE), i.e., the binding-energy difference between mirror nuclei. Accordingly, we introduce a new (effective) Coulomb coupling constant e 0 2 = e 2 ( 1 + a exc Z − 2 / 3 ) to replace the original one e 2 between protons (note that the original coupling constant just applies to point-like charge), where Z is proton number. This effective coupling constant e 0 2 is phenomenologically embodying the effects of many complicated corrections beyond mean-field method or even nuclear structure physics such as core polarization, nucleon finite size and vacuum polarization. With e 0 2 = e 2 ( 1 + 0.45 Z − 2 / 3 ) for SLy4 interaction, the experimental CDE for T = 1 / 2 , 1 , 3 / 2 , 2 isobaric multiplets, together with the excitation energy of isobaric analog states for heavy nuclei such as 208Pb, can be rather well reproduced, indicating the validity of such a treatment. Moreover, the c coefficients in the isobaric multiplet mass equation for isobaric quartets are computed, and the results based on Coulomb force turns out to be around 10%–15% lower than the experimental ones persistently, just as the Nolen–Schiffer anomaly. Yet, the introduction of both the CIB effect and the e 0 2 systematically improves the agreement with experimental data substantially. Charge-symmetry breaking Elsevier Coulomb interaction Elsevier Brueckner theory Elsevier Nuclear energy density functionals Elsevier Shang, X.L. oth Zuo, W. oth Niu, Y.F. oth Sun, Y. oth Enthalten in North-Holland Publ. Co Klebanoff, Mark A. ELSEVIER Historical (retrospective) cohort studies and other epidemiologic study designs in perinatal research 2018 journal devoted to the experimental and theoretical study of the fundamental constituents of matter and their interactions Amsterdam (DE-627)ELV000986615 volume:983 year:2019 pages:133-144 extent:12 https://doi.org/10.1016/j.nuclphysa.2019.01.003 Volltext GBV_USEFLAG_U GBV_ELV SYSFLAG_U SSG-OLC-PHA 44.92 Gynäkologie VZ AR 983 2019 133-144 12 |
| allfieldsSound |
10.1016/j.nuclphysa.2019.01.003 doi GBV00000000000507.pica (DE-627)ELV045642931 (ELSEVIER)S0375-9474(19)30005-3 DE-627 ger DE-627 rakwb eng 610 VZ 44.92 bkl Dong, J.M. verfasserin aut An effective Coulomb interaction in nuclear energy density functionals 2019transfer abstract 12 nicht spezifiziert zzz rdacontent nicht spezifiziert z rdamedia nicht spezifiziert zu rdacarrier It is well-known that the charge-violating interaction is usually underestimated in nuclear many-body approaches. In the framework of the Skyrme–Hartree–Fock (SHF) method, the effective two-body charge-symmetry breaking (CSB) and charge-independent breaking (CIB) interactions in nuclear medium based on Brueckner theory are included, then we constrain the effective Coulomb interaction in turn with the help of experimental Coulomb displacement energy (CDE), i.e., the binding-energy difference between mirror nuclei. Accordingly, we introduce a new (effective) Coulomb coupling constant e 0 2 = e 2 ( 1 + a exc Z − 2 / 3 ) to replace the original one e 2 between protons (note that the original coupling constant just applies to point-like charge), where Z is proton number. This effective coupling constant e 0 2 is phenomenologically embodying the effects of many complicated corrections beyond mean-field method or even nuclear structure physics such as core polarization, nucleon finite size and vacuum polarization. With e 0 2 = e 2 ( 1 + 0.45 Z − 2 / 3 ) for SLy4 interaction, the experimental CDE for T = 1 / 2 , 1 , 3 / 2 , 2 isobaric multiplets, together with the excitation energy of isobaric analog states for heavy nuclei such as 208Pb, can be rather well reproduced, indicating the validity of such a treatment. Moreover, the c coefficients in the isobaric multiplet mass equation for isobaric quartets are computed, and the results based on Coulomb force turns out to be around 10%–15% lower than the experimental ones persistently, just as the Nolen–Schiffer anomaly. Yet, the introduction of both the CIB effect and the e 0 2 systematically improves the agreement with experimental data substantially. It is well-known that the charge-violating interaction is usually underestimated in nuclear many-body approaches. In the framework of the Skyrme–Hartree–Fock (SHF) method, the effective two-body charge-symmetry breaking (CSB) and charge-independent breaking (CIB) interactions in nuclear medium based on Brueckner theory are included, then we constrain the effective Coulomb interaction in turn with the help of experimental Coulomb displacement energy (CDE), i.e., the binding-energy difference between mirror nuclei. Accordingly, we introduce a new (effective) Coulomb coupling constant e 0 2 = e 2 ( 1 + a exc Z − 2 / 3 ) to replace the original one e 2 between protons (note that the original coupling constant just applies to point-like charge), where Z is proton number. This effective coupling constant e 0 2 is phenomenologically embodying the effects of many complicated corrections beyond mean-field method or even nuclear structure physics such as core polarization, nucleon finite size and vacuum polarization. With e 0 2 = e 2 ( 1 + 0.45 Z − 2 / 3 ) for SLy4 interaction, the experimental CDE for T = 1 / 2 , 1 , 3 / 2 , 2 isobaric multiplets, together with the excitation energy of isobaric analog states for heavy nuclei such as 208Pb, can be rather well reproduced, indicating the validity of such a treatment. Moreover, the c coefficients in the isobaric multiplet mass equation for isobaric quartets are computed, and the results based on Coulomb force turns out to be around 10%–15% lower than the experimental ones persistently, just as the Nolen–Schiffer anomaly. Yet, the introduction of both the CIB effect and the e 0 2 systematically improves the agreement with experimental data substantially. Charge-symmetry breaking Elsevier Coulomb interaction Elsevier Brueckner theory Elsevier Nuclear energy density functionals Elsevier Shang, X.L. oth Zuo, W. oth Niu, Y.F. oth Sun, Y. oth Enthalten in North-Holland Publ. Co Klebanoff, Mark A. ELSEVIER Historical (retrospective) cohort studies and other epidemiologic study designs in perinatal research 2018 journal devoted to the experimental and theoretical study of the fundamental constituents of matter and their interactions Amsterdam (DE-627)ELV000986615 volume:983 year:2019 pages:133-144 extent:12 https://doi.org/10.1016/j.nuclphysa.2019.01.003 Volltext GBV_USEFLAG_U GBV_ELV SYSFLAG_U SSG-OLC-PHA 44.92 Gynäkologie VZ AR 983 2019 133-144 12 |
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an effective coulomb interaction in nuclear energy density functionals |
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An effective Coulomb interaction in nuclear energy density functionals |
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It is well-known that the charge-violating interaction is usually underestimated in nuclear many-body approaches. In the framework of the Skyrme–Hartree–Fock (SHF) method, the effective two-body charge-symmetry breaking (CSB) and charge-independent breaking (CIB) interactions in nuclear medium based on Brueckner theory are included, then we constrain the effective Coulomb interaction in turn with the help of experimental Coulomb displacement energy (CDE), i.e., the binding-energy difference between mirror nuclei. Accordingly, we introduce a new (effective) Coulomb coupling constant e 0 2 = e 2 ( 1 + a exc Z − 2 / 3 ) to replace the original one e 2 between protons (note that the original coupling constant just applies to point-like charge), where Z is proton number. This effective coupling constant e 0 2 is phenomenologically embodying the effects of many complicated corrections beyond mean-field method or even nuclear structure physics such as core polarization, nucleon finite size and vacuum polarization. With e 0 2 = e 2 ( 1 + 0.45 Z − 2 / 3 ) for SLy4 interaction, the experimental CDE for T = 1 / 2 , 1 , 3 / 2 , 2 isobaric multiplets, together with the excitation energy of isobaric analog states for heavy nuclei such as 208Pb, can be rather well reproduced, indicating the validity of such a treatment. Moreover, the c coefficients in the isobaric multiplet mass equation for isobaric quartets are computed, and the results based on Coulomb force turns out to be around 10%–15% lower than the experimental ones persistently, just as the Nolen–Schiffer anomaly. Yet, the introduction of both the CIB effect and the e 0 2 systematically improves the agreement with experimental data substantially. |
| abstractGer |
It is well-known that the charge-violating interaction is usually underestimated in nuclear many-body approaches. In the framework of the Skyrme–Hartree–Fock (SHF) method, the effective two-body charge-symmetry breaking (CSB) and charge-independent breaking (CIB) interactions in nuclear medium based on Brueckner theory are included, then we constrain the effective Coulomb interaction in turn with the help of experimental Coulomb displacement energy (CDE), i.e., the binding-energy difference between mirror nuclei. Accordingly, we introduce a new (effective) Coulomb coupling constant e 0 2 = e 2 ( 1 + a exc Z − 2 / 3 ) to replace the original one e 2 between protons (note that the original coupling constant just applies to point-like charge), where Z is proton number. This effective coupling constant e 0 2 is phenomenologically embodying the effects of many complicated corrections beyond mean-field method or even nuclear structure physics such as core polarization, nucleon finite size and vacuum polarization. With e 0 2 = e 2 ( 1 + 0.45 Z − 2 / 3 ) for SLy4 interaction, the experimental CDE for T = 1 / 2 , 1 , 3 / 2 , 2 isobaric multiplets, together with the excitation energy of isobaric analog states for heavy nuclei such as 208Pb, can be rather well reproduced, indicating the validity of such a treatment. Moreover, the c coefficients in the isobaric multiplet mass equation for isobaric quartets are computed, and the results based on Coulomb force turns out to be around 10%–15% lower than the experimental ones persistently, just as the Nolen–Schiffer anomaly. Yet, the introduction of both the CIB effect and the e 0 2 systematically improves the agreement with experimental data substantially. |
| abstract_unstemmed |
It is well-known that the charge-violating interaction is usually underestimated in nuclear many-body approaches. In the framework of the Skyrme–Hartree–Fock (SHF) method, the effective two-body charge-symmetry breaking (CSB) and charge-independent breaking (CIB) interactions in nuclear medium based on Brueckner theory are included, then we constrain the effective Coulomb interaction in turn with the help of experimental Coulomb displacement energy (CDE), i.e., the binding-energy difference between mirror nuclei. Accordingly, we introduce a new (effective) Coulomb coupling constant e 0 2 = e 2 ( 1 + a exc Z − 2 / 3 ) to replace the original one e 2 between protons (note that the original coupling constant just applies to point-like charge), where Z is proton number. This effective coupling constant e 0 2 is phenomenologically embodying the effects of many complicated corrections beyond mean-field method or even nuclear structure physics such as core polarization, nucleon finite size and vacuum polarization. With e 0 2 = e 2 ( 1 + 0.45 Z − 2 / 3 ) for SLy4 interaction, the experimental CDE for T = 1 / 2 , 1 , 3 / 2 , 2 isobaric multiplets, together with the excitation energy of isobaric analog states for heavy nuclei such as 208Pb, can be rather well reproduced, indicating the validity of such a treatment. Moreover, the c coefficients in the isobaric multiplet mass equation for isobaric quartets are computed, and the results based on Coulomb force turns out to be around 10%–15% lower than the experimental ones persistently, just as the Nolen–Schiffer anomaly. Yet, the introduction of both the CIB effect and the e 0 2 systematically improves the agreement with experimental data substantially. |
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