Range Corrections to Universal Tetramer Properties
Abstract The universal properties of weakly-bound tetramers close to the scaling limit are investigated by solving a subtracted set of Faddeev–Yakubovsky (FY) equations for identical bosons with a zero-range interaction. The solution demands a four-body scale independent of the trimer properties. Fu...
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| Autor*in: |
Frederico, T. [verfasserIn] |
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| Format: |
Artikel |
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| Sprache: |
Englisch |
| Erschienen: |
2013 |
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| Schlagwörter: |
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| Anmerkung: |
© Springer-Verlag Wien 2013 |
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| Übergeordnetes Werk: |
Enthalten in: Few body systems - Springer Vienna, 1986, 54(2013), 7-10 vom: 06. Feb., Seite 1537-1542 |
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| Übergeordnetes Werk: |
volume:54 ; year:2013 ; number:7-10 ; day:06 ; month:02 ; pages:1537-1542 |
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| DOI / URN: |
10.1007/s00601-013-0596-2 |
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OLC2071770781 |
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| 520 | |a Abstract The universal properties of weakly-bound tetramers close to the scaling limit are investigated by solving a subtracted set of Faddeev–Yakubovsky (FY) equations for identical bosons with a zero-range interaction. The solution demands a four-body scale independent of the trimer properties. Furthermore, the effect of a finite effective range is introduced in the FY equations, which we show produces results that are distinct from the scale variation. In particular range effects to two universal scaling functions for the tetramers are investigated. The correlation between successive tetramer energies corresponding to states within two Efimov trimer energies, proposed before and studied close to the unitary limit; and the correlation between the position of the four-atom recombination peaks. In this case, we found a shift in the scaling function due to the range, which can be associated to the shift of the data found for caesium atoms, with respect to zero-range calculations, due to a nonvanishing range in the actual experimental setups. | ||
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| 650 | 4 | |a Range Correction | |
| 650 | 4 | |a Effective Range Expansion | |
| 700 | 1 | |a Hadizadeh, M. R. |4 aut | |
| 700 | 1 | |a Yamashita, M. T. |4 aut | |
| 700 | 1 | |a Tomio, Lauro |4 aut | |
| 700 | 1 | |a Delfino, A. |4 aut | |
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10.1007/s00601-013-0596-2 doi (DE-627)OLC2071770781 (DE-He213)s00601-013-0596-2-p DE-627 ger DE-627 rakwb eng 530 VZ 33.00 bkl Frederico, T. verfasserin aut Range Corrections to Universal Tetramer Properties 2013 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier © Springer-Verlag Wien 2013 Abstract The universal properties of weakly-bound tetramers close to the scaling limit are investigated by solving a subtracted set of Faddeev–Yakubovsky (FY) equations for identical bosons with a zero-range interaction. The solution demands a four-body scale independent of the trimer properties. Furthermore, the effect of a finite effective range is introduced in the FY equations, which we show produces results that are distinct from the scale variation. In particular range effects to two universal scaling functions for the tetramers are investigated. The correlation between successive tetramer energies corresponding to states within two Efimov trimer energies, proposed before and studied close to the unitary limit; and the correlation between the position of the four-atom recombination peaks. In this case, we found a shift in the scaling function due to the range, which can be associated to the shift of the data found for caesium atoms, with respect to zero-range calculations, due to a nonvanishing range in the actual experimental setups. Scaling Function Feshbach Resonance Unitary Limit Range Correction Effective Range Expansion Hadizadeh, M. R. aut Yamashita, M. T. aut Tomio, Lauro aut Delfino, A. aut Enthalten in Few body systems Springer Vienna, 1986 54(2013), 7-10 vom: 06. Feb., Seite 1537-1542 (DE-627)129862819 (DE-600)283895-3 (DE-576)015175154 0177-7963 nnns volume:54 year:2013 number:7-10 day:06 month:02 pages:1537-1542 https://doi.org/10.1007/s00601-013-0596-2 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-PHY GBV_ILN_70 33.00 VZ AR 54 2013 7-10 06 02 1537-1542 |
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10.1007/s00601-013-0596-2 doi (DE-627)OLC2071770781 (DE-He213)s00601-013-0596-2-p DE-627 ger DE-627 rakwb eng 530 VZ 33.00 bkl Frederico, T. verfasserin aut Range Corrections to Universal Tetramer Properties 2013 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier © Springer-Verlag Wien 2013 Abstract The universal properties of weakly-bound tetramers close to the scaling limit are investigated by solving a subtracted set of Faddeev–Yakubovsky (FY) equations for identical bosons with a zero-range interaction. The solution demands a four-body scale independent of the trimer properties. Furthermore, the effect of a finite effective range is introduced in the FY equations, which we show produces results that are distinct from the scale variation. In particular range effects to two universal scaling functions for the tetramers are investigated. The correlation between successive tetramer energies corresponding to states within two Efimov trimer energies, proposed before and studied close to the unitary limit; and the correlation between the position of the four-atom recombination peaks. In this case, we found a shift in the scaling function due to the range, which can be associated to the shift of the data found for caesium atoms, with respect to zero-range calculations, due to a nonvanishing range in the actual experimental setups. Scaling Function Feshbach Resonance Unitary Limit Range Correction Effective Range Expansion Hadizadeh, M. R. aut Yamashita, M. T. aut Tomio, Lauro aut Delfino, A. aut Enthalten in Few body systems Springer Vienna, 1986 54(2013), 7-10 vom: 06. Feb., Seite 1537-1542 (DE-627)129862819 (DE-600)283895-3 (DE-576)015175154 0177-7963 nnns volume:54 year:2013 number:7-10 day:06 month:02 pages:1537-1542 https://doi.org/10.1007/s00601-013-0596-2 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-PHY GBV_ILN_70 33.00 VZ AR 54 2013 7-10 06 02 1537-1542 |
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10.1007/s00601-013-0596-2 doi (DE-627)OLC2071770781 (DE-He213)s00601-013-0596-2-p DE-627 ger DE-627 rakwb eng 530 VZ 33.00 bkl Frederico, T. verfasserin aut Range Corrections to Universal Tetramer Properties 2013 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier © Springer-Verlag Wien 2013 Abstract The universal properties of weakly-bound tetramers close to the scaling limit are investigated by solving a subtracted set of Faddeev–Yakubovsky (FY) equations for identical bosons with a zero-range interaction. The solution demands a four-body scale independent of the trimer properties. Furthermore, the effect of a finite effective range is introduced in the FY equations, which we show produces results that are distinct from the scale variation. In particular range effects to two universal scaling functions for the tetramers are investigated. The correlation between successive tetramer energies corresponding to states within two Efimov trimer energies, proposed before and studied close to the unitary limit; and the correlation between the position of the four-atom recombination peaks. In this case, we found a shift in the scaling function due to the range, which can be associated to the shift of the data found for caesium atoms, with respect to zero-range calculations, due to a nonvanishing range in the actual experimental setups. Scaling Function Feshbach Resonance Unitary Limit Range Correction Effective Range Expansion Hadizadeh, M. R. aut Yamashita, M. T. aut Tomio, Lauro aut Delfino, A. aut Enthalten in Few body systems Springer Vienna, 1986 54(2013), 7-10 vom: 06. Feb., Seite 1537-1542 (DE-627)129862819 (DE-600)283895-3 (DE-576)015175154 0177-7963 nnns volume:54 year:2013 number:7-10 day:06 month:02 pages:1537-1542 https://doi.org/10.1007/s00601-013-0596-2 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-PHY GBV_ILN_70 33.00 VZ AR 54 2013 7-10 06 02 1537-1542 |
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10.1007/s00601-013-0596-2 doi (DE-627)OLC2071770781 (DE-He213)s00601-013-0596-2-p DE-627 ger DE-627 rakwb eng 530 VZ 33.00 bkl Frederico, T. verfasserin aut Range Corrections to Universal Tetramer Properties 2013 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier © Springer-Verlag Wien 2013 Abstract The universal properties of weakly-bound tetramers close to the scaling limit are investigated by solving a subtracted set of Faddeev–Yakubovsky (FY) equations for identical bosons with a zero-range interaction. The solution demands a four-body scale independent of the trimer properties. Furthermore, the effect of a finite effective range is introduced in the FY equations, which we show produces results that are distinct from the scale variation. In particular range effects to two universal scaling functions for the tetramers are investigated. The correlation between successive tetramer energies corresponding to states within two Efimov trimer energies, proposed before and studied close to the unitary limit; and the correlation between the position of the four-atom recombination peaks. In this case, we found a shift in the scaling function due to the range, which can be associated to the shift of the data found for caesium atoms, with respect to zero-range calculations, due to a nonvanishing range in the actual experimental setups. Scaling Function Feshbach Resonance Unitary Limit Range Correction Effective Range Expansion Hadizadeh, M. R. aut Yamashita, M. T. aut Tomio, Lauro aut Delfino, A. aut Enthalten in Few body systems Springer Vienna, 1986 54(2013), 7-10 vom: 06. Feb., Seite 1537-1542 (DE-627)129862819 (DE-600)283895-3 (DE-576)015175154 0177-7963 nnns volume:54 year:2013 number:7-10 day:06 month:02 pages:1537-1542 https://doi.org/10.1007/s00601-013-0596-2 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-PHY GBV_ILN_70 33.00 VZ AR 54 2013 7-10 06 02 1537-1542 |
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10.1007/s00601-013-0596-2 doi (DE-627)OLC2071770781 (DE-He213)s00601-013-0596-2-p DE-627 ger DE-627 rakwb eng 530 VZ 33.00 bkl Frederico, T. verfasserin aut Range Corrections to Universal Tetramer Properties 2013 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier © Springer-Verlag Wien 2013 Abstract The universal properties of weakly-bound tetramers close to the scaling limit are investigated by solving a subtracted set of Faddeev–Yakubovsky (FY) equations for identical bosons with a zero-range interaction. The solution demands a four-body scale independent of the trimer properties. Furthermore, the effect of a finite effective range is introduced in the FY equations, which we show produces results that are distinct from the scale variation. In particular range effects to two universal scaling functions for the tetramers are investigated. The correlation between successive tetramer energies corresponding to states within two Efimov trimer energies, proposed before and studied close to the unitary limit; and the correlation between the position of the four-atom recombination peaks. In this case, we found a shift in the scaling function due to the range, which can be associated to the shift of the data found for caesium atoms, with respect to zero-range calculations, due to a nonvanishing range in the actual experimental setups. Scaling Function Feshbach Resonance Unitary Limit Range Correction Effective Range Expansion Hadizadeh, M. R. aut Yamashita, M. T. aut Tomio, Lauro aut Delfino, A. aut Enthalten in Few body systems Springer Vienna, 1986 54(2013), 7-10 vom: 06. Feb., Seite 1537-1542 (DE-627)129862819 (DE-600)283895-3 (DE-576)015175154 0177-7963 nnns volume:54 year:2013 number:7-10 day:06 month:02 pages:1537-1542 https://doi.org/10.1007/s00601-013-0596-2 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-PHY GBV_ILN_70 33.00 VZ AR 54 2013 7-10 06 02 1537-1542 |
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Abstract The universal properties of weakly-bound tetramers close to the scaling limit are investigated by solving a subtracted set of Faddeev–Yakubovsky (FY) equations for identical bosons with a zero-range interaction. The solution demands a four-body scale independent of the trimer properties. Furthermore, the effect of a finite effective range is introduced in the FY equations, which we show produces results that are distinct from the scale variation. In particular range effects to two universal scaling functions for the tetramers are investigated. The correlation between successive tetramer energies corresponding to states within two Efimov trimer energies, proposed before and studied close to the unitary limit; and the correlation between the position of the four-atom recombination peaks. In this case, we found a shift in the scaling function due to the range, which can be associated to the shift of the data found for caesium atoms, with respect to zero-range calculations, due to a nonvanishing range in the actual experimental setups. © Springer-Verlag Wien 2013 |
| abstractGer |
Abstract The universal properties of weakly-bound tetramers close to the scaling limit are investigated by solving a subtracted set of Faddeev–Yakubovsky (FY) equations for identical bosons with a zero-range interaction. The solution demands a four-body scale independent of the trimer properties. Furthermore, the effect of a finite effective range is introduced in the FY equations, which we show produces results that are distinct from the scale variation. In particular range effects to two universal scaling functions for the tetramers are investigated. The correlation between successive tetramer energies corresponding to states within two Efimov trimer energies, proposed before and studied close to the unitary limit; and the correlation between the position of the four-atom recombination peaks. In this case, we found a shift in the scaling function due to the range, which can be associated to the shift of the data found for caesium atoms, with respect to zero-range calculations, due to a nonvanishing range in the actual experimental setups. © Springer-Verlag Wien 2013 |
| abstract_unstemmed |
Abstract The universal properties of weakly-bound tetramers close to the scaling limit are investigated by solving a subtracted set of Faddeev–Yakubovsky (FY) equations for identical bosons with a zero-range interaction. The solution demands a four-body scale independent of the trimer properties. Furthermore, the effect of a finite effective range is introduced in the FY equations, which we show produces results that are distinct from the scale variation. In particular range effects to two universal scaling functions for the tetramers are investigated. The correlation between successive tetramer energies corresponding to states within two Efimov trimer energies, proposed before and studied close to the unitary limit; and the correlation between the position of the four-atom recombination peaks. In this case, we found a shift in the scaling function due to the range, which can be associated to the shift of the data found for caesium atoms, with respect to zero-range calculations, due to a nonvanishing range in the actual experimental setups. © Springer-Verlag Wien 2013 |
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Range Corrections to Universal Tetramer Properties |
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Hadizadeh, M. R. Yamashita, M. T. Tomio, Lauro Delfino, A. |
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Hadizadeh, M. R. Yamashita, M. T. Tomio, Lauro Delfino, A. |
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10.1007/s00601-013-0596-2 |
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