SU3 symmetry and effective interactions in the s-d shell
Summary The effective interaction in the s-d shell can be characterized in terms of diagonal radial matrix elements InlSin relative states of orbital angular momentum l of two nucleons. The symmetry properties of radial matrix elements in l = 0 states are investigated. The parameters I0sand I2sare s...
Ausführliche Beschreibung
Gespeichert in:
| Autor*in: |
Kulkarni, D. R. [verfasserIn] |
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| Format: |
Artikel |
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| Sprache: |
Englisch |
| Erschienen: |
1969 |
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| Schlagwörter: |
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| Anmerkung: |
© Società Italiana di Fisica 1969 |
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| Übergeordnetes Werk: |
Enthalten in: Il Nuovo Cimento B (1965-1970) - Springer Berlin Heidelberg, 1971, 60(1969), 1 vom: März, Seite 199-209 |
|---|---|
| Übergeordnetes Werk: |
volume:60 ; year:1969 ; number:1 ; month:03 ; pages:199-209 |
| Links: |
|---|
| DOI / URN: |
10.1007/BF02712363 |
|---|
| Katalog-ID: |
OLC2087174601 |
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| 520 | |a Summary The effective interaction in the s-d shell can be characterized in terms of diagonal radial matrix elements InlSin relative states of orbital angular momentum l of two nucleons. The symmetry properties of radial matrix elements in l = 0 states are investigated. The parameters I0sand I2sare shown to give exact SU3symmetry of the eigenfunctions. The SU3-symmetry-breaking property of I1sis explicitly demonstrated, but it is also found that in realistic calculations such an effect is somewhat suppressed by the single-particle spin-orbit force. We also show that whereas the T = 1 eigenfunctions (for J = 0, 2, 4 for two nucleons) can be very well generated from a suitable deformed intrinsic state, the T = 0 eigenfunctions (J = 1, 2, 3) generated from deformed states have poor overlaps with shell-model eigenfunctions in the absence of spin-orbit splitting of single-particle orbits. Inclusion of single-particle spin-orbit force improves very strikingly the overlaps between the generated and the shell-model T = 0 states. | ||
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| 650 | 4 | |a Radial Matrix Element | |
| 700 | 1 | |a Pandya, S. P. |4 aut | |
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10.1007/BF02712363 doi (DE-627)OLC2087174601 (DE-He213)BF02712363-p DE-627 ger DE-627 rakwb eng 530 VZ Kulkarni, D. R. verfasserin aut SU3 symmetry and effective interactions in the s-d shell 1969 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier © Società Italiana di Fisica 1969 Summary The effective interaction in the s-d shell can be characterized in terms of diagonal radial matrix elements InlSin relative states of orbital angular momentum l of two nucleons. The symmetry properties of radial matrix elements in l = 0 states are investigated. The parameters I0sand I2sare shown to give exact SU3symmetry of the eigenfunctions. The SU3-symmetry-breaking property of I1sis explicitly demonstrated, but it is also found that in realistic calculations such an effect is somewhat suppressed by the single-particle spin-orbit force. We also show that whereas the T = 1 eigenfunctions (for J = 0, 2, 4 for two nucleons) can be very well generated from a suitable deformed intrinsic state, the T = 0 eigenfunctions (J = 1, 2, 3) generated from deformed states have poor overlaps with shell-model eigenfunctions in the absence of spin-orbit splitting of single-particle orbits. Inclusion of single-particle spin-orbit force improves very strikingly the overlaps between the generated and the shell-model T = 0 states. Wave Function Orbital Angular Momentum Effective Interaction Intrinsic State Radial Matrix Element Pandya, S. P. aut Enthalten in Il Nuovo Cimento B (1965-1970) Springer Berlin Heidelberg, 1971 60(1969), 1 vom: März, Seite 199-209 (DE-627)130067806 (DE-600)441919-4 (DE-576)015602214 2037-4895 nnns volume:60 year:1969 number:1 month:03 pages:199-209 https://doi.org/10.1007/BF02712363 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-PHY SSG-OPC-AST AR 60 1969 1 03 199-209 |
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10.1007/BF02712363 doi (DE-627)OLC2087174601 (DE-He213)BF02712363-p DE-627 ger DE-627 rakwb eng 530 VZ Kulkarni, D. R. verfasserin aut SU3 symmetry and effective interactions in the s-d shell 1969 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier © Società Italiana di Fisica 1969 Summary The effective interaction in the s-d shell can be characterized in terms of diagonal radial matrix elements InlSin relative states of orbital angular momentum l of two nucleons. The symmetry properties of radial matrix elements in l = 0 states are investigated. The parameters I0sand I2sare shown to give exact SU3symmetry of the eigenfunctions. The SU3-symmetry-breaking property of I1sis explicitly demonstrated, but it is also found that in realistic calculations such an effect is somewhat suppressed by the single-particle spin-orbit force. We also show that whereas the T = 1 eigenfunctions (for J = 0, 2, 4 for two nucleons) can be very well generated from a suitable deformed intrinsic state, the T = 0 eigenfunctions (J = 1, 2, 3) generated from deformed states have poor overlaps with shell-model eigenfunctions in the absence of spin-orbit splitting of single-particle orbits. Inclusion of single-particle spin-orbit force improves very strikingly the overlaps between the generated and the shell-model T = 0 states. Wave Function Orbital Angular Momentum Effective Interaction Intrinsic State Radial Matrix Element Pandya, S. P. aut Enthalten in Il Nuovo Cimento B (1965-1970) Springer Berlin Heidelberg, 1971 60(1969), 1 vom: März, Seite 199-209 (DE-627)130067806 (DE-600)441919-4 (DE-576)015602214 2037-4895 nnns volume:60 year:1969 number:1 month:03 pages:199-209 https://doi.org/10.1007/BF02712363 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-PHY SSG-OPC-AST AR 60 1969 1 03 199-209 |
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10.1007/BF02712363 doi (DE-627)OLC2087174601 (DE-He213)BF02712363-p DE-627 ger DE-627 rakwb eng 530 VZ Kulkarni, D. R. verfasserin aut SU3 symmetry and effective interactions in the s-d shell 1969 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier © Società Italiana di Fisica 1969 Summary The effective interaction in the s-d shell can be characterized in terms of diagonal radial matrix elements InlSin relative states of orbital angular momentum l of two nucleons. The symmetry properties of radial matrix elements in l = 0 states are investigated. The parameters I0sand I2sare shown to give exact SU3symmetry of the eigenfunctions. The SU3-symmetry-breaking property of I1sis explicitly demonstrated, but it is also found that in realistic calculations such an effect is somewhat suppressed by the single-particle spin-orbit force. We also show that whereas the T = 1 eigenfunctions (for J = 0, 2, 4 for two nucleons) can be very well generated from a suitable deformed intrinsic state, the T = 0 eigenfunctions (J = 1, 2, 3) generated from deformed states have poor overlaps with shell-model eigenfunctions in the absence of spin-orbit splitting of single-particle orbits. Inclusion of single-particle spin-orbit force improves very strikingly the overlaps between the generated and the shell-model T = 0 states. Wave Function Orbital Angular Momentum Effective Interaction Intrinsic State Radial Matrix Element Pandya, S. P. aut Enthalten in Il Nuovo Cimento B (1965-1970) Springer Berlin Heidelberg, 1971 60(1969), 1 vom: März, Seite 199-209 (DE-627)130067806 (DE-600)441919-4 (DE-576)015602214 2037-4895 nnns volume:60 year:1969 number:1 month:03 pages:199-209 https://doi.org/10.1007/BF02712363 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-PHY SSG-OPC-AST AR 60 1969 1 03 199-209 |
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10.1007/BF02712363 doi (DE-627)OLC2087174601 (DE-He213)BF02712363-p DE-627 ger DE-627 rakwb eng 530 VZ Kulkarni, D. R. verfasserin aut SU3 symmetry and effective interactions in the s-d shell 1969 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier © Società Italiana di Fisica 1969 Summary The effective interaction in the s-d shell can be characterized in terms of diagonal radial matrix elements InlSin relative states of orbital angular momentum l of two nucleons. The symmetry properties of radial matrix elements in l = 0 states are investigated. The parameters I0sand I2sare shown to give exact SU3symmetry of the eigenfunctions. The SU3-symmetry-breaking property of I1sis explicitly demonstrated, but it is also found that in realistic calculations such an effect is somewhat suppressed by the single-particle spin-orbit force. We also show that whereas the T = 1 eigenfunctions (for J = 0, 2, 4 for two nucleons) can be very well generated from a suitable deformed intrinsic state, the T = 0 eigenfunctions (J = 1, 2, 3) generated from deformed states have poor overlaps with shell-model eigenfunctions in the absence of spin-orbit splitting of single-particle orbits. Inclusion of single-particle spin-orbit force improves very strikingly the overlaps between the generated and the shell-model T = 0 states. Wave Function Orbital Angular Momentum Effective Interaction Intrinsic State Radial Matrix Element Pandya, S. P. aut Enthalten in Il Nuovo Cimento B (1965-1970) Springer Berlin Heidelberg, 1971 60(1969), 1 vom: März, Seite 199-209 (DE-627)130067806 (DE-600)441919-4 (DE-576)015602214 2037-4895 nnns volume:60 year:1969 number:1 month:03 pages:199-209 https://doi.org/10.1007/BF02712363 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-PHY SSG-OPC-AST AR 60 1969 1 03 199-209 |
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10.1007/BF02712363 doi (DE-627)OLC2087174601 (DE-He213)BF02712363-p DE-627 ger DE-627 rakwb eng 530 VZ Kulkarni, D. R. verfasserin aut SU3 symmetry and effective interactions in the s-d shell 1969 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier © Società Italiana di Fisica 1969 Summary The effective interaction in the s-d shell can be characterized in terms of diagonal radial matrix elements InlSin relative states of orbital angular momentum l of two nucleons. The symmetry properties of radial matrix elements in l = 0 states are investigated. The parameters I0sand I2sare shown to give exact SU3symmetry of the eigenfunctions. The SU3-symmetry-breaking property of I1sis explicitly demonstrated, but it is also found that in realistic calculations such an effect is somewhat suppressed by the single-particle spin-orbit force. We also show that whereas the T = 1 eigenfunctions (for J = 0, 2, 4 for two nucleons) can be very well generated from a suitable deformed intrinsic state, the T = 0 eigenfunctions (J = 1, 2, 3) generated from deformed states have poor overlaps with shell-model eigenfunctions in the absence of spin-orbit splitting of single-particle orbits. Inclusion of single-particle spin-orbit force improves very strikingly the overlaps between the generated and the shell-model T = 0 states. Wave Function Orbital Angular Momentum Effective Interaction Intrinsic State Radial Matrix Element Pandya, S. P. aut Enthalten in Il Nuovo Cimento B (1965-1970) Springer Berlin Heidelberg, 1971 60(1969), 1 vom: März, Seite 199-209 (DE-627)130067806 (DE-600)441919-4 (DE-576)015602214 2037-4895 nnns volume:60 year:1969 number:1 month:03 pages:199-209 https://doi.org/10.1007/BF02712363 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-PHY SSG-OPC-AST AR 60 1969 1 03 199-209 |
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SU3 symmetry and effective interactions in the s-d shell |
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Summary The effective interaction in the s-d shell can be characterized in terms of diagonal radial matrix elements InlSin relative states of orbital angular momentum l of two nucleons. The symmetry properties of radial matrix elements in l = 0 states are investigated. The parameters I0sand I2sare shown to give exact SU3symmetry of the eigenfunctions. The SU3-symmetry-breaking property of I1sis explicitly demonstrated, but it is also found that in realistic calculations such an effect is somewhat suppressed by the single-particle spin-orbit force. We also show that whereas the T = 1 eigenfunctions (for J = 0, 2, 4 for two nucleons) can be very well generated from a suitable deformed intrinsic state, the T = 0 eigenfunctions (J = 1, 2, 3) generated from deformed states have poor overlaps with shell-model eigenfunctions in the absence of spin-orbit splitting of single-particle orbits. Inclusion of single-particle spin-orbit force improves very strikingly the overlaps between the generated and the shell-model T = 0 states. © Società Italiana di Fisica 1969 |
| abstractGer |
Summary The effective interaction in the s-d shell can be characterized in terms of diagonal radial matrix elements InlSin relative states of orbital angular momentum l of two nucleons. The symmetry properties of radial matrix elements in l = 0 states are investigated. The parameters I0sand I2sare shown to give exact SU3symmetry of the eigenfunctions. The SU3-symmetry-breaking property of I1sis explicitly demonstrated, but it is also found that in realistic calculations such an effect is somewhat suppressed by the single-particle spin-orbit force. We also show that whereas the T = 1 eigenfunctions (for J = 0, 2, 4 for two nucleons) can be very well generated from a suitable deformed intrinsic state, the T = 0 eigenfunctions (J = 1, 2, 3) generated from deformed states have poor overlaps with shell-model eigenfunctions in the absence of spin-orbit splitting of single-particle orbits. Inclusion of single-particle spin-orbit force improves very strikingly the overlaps between the generated and the shell-model T = 0 states. © Società Italiana di Fisica 1969 |
| abstract_unstemmed |
Summary The effective interaction in the s-d shell can be characterized in terms of diagonal radial matrix elements InlSin relative states of orbital angular momentum l of two nucleons. The symmetry properties of radial matrix elements in l = 0 states are investigated. The parameters I0sand I2sare shown to give exact SU3symmetry of the eigenfunctions. The SU3-symmetry-breaking property of I1sis explicitly demonstrated, but it is also found that in realistic calculations such an effect is somewhat suppressed by the single-particle spin-orbit force. We also show that whereas the T = 1 eigenfunctions (for J = 0, 2, 4 for two nucleons) can be very well generated from a suitable deformed intrinsic state, the T = 0 eigenfunctions (J = 1, 2, 3) generated from deformed states have poor overlaps with shell-model eigenfunctions in the absence of spin-orbit splitting of single-particle orbits. Inclusion of single-particle spin-orbit force improves very strikingly the overlaps between the generated and the shell-model T = 0 states. © Società Italiana di Fisica 1969 |
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<?xml version="1.0" encoding="UTF-8"?><collection xmlns="http://www.loc.gov/MARC21/slim"><record><leader>01000caa a22002652 4500</leader><controlfield tag="001">OLC2087174601</controlfield><controlfield tag="003">DE-627</controlfield><controlfield tag="005">20230401104439.0</controlfield><controlfield tag="007">tu</controlfield><controlfield tag="008">230302s1969 xx ||||| 00| ||eng c</controlfield><datafield tag="024" ind1="7" ind2=" "><subfield code="a">10.1007/BF02712363</subfield><subfield code="2">doi</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(DE-627)OLC2087174601</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(DE-He213)BF02712363-p</subfield></datafield><datafield tag="040" ind1=" " ind2=" "><subfield code="a">DE-627</subfield><subfield code="b">ger</subfield><subfield code="c">DE-627</subfield><subfield code="e">rakwb</subfield></datafield><datafield tag="041" ind1=" " ind2=" "><subfield code="a">eng</subfield></datafield><datafield tag="082" ind1="0" ind2="4"><subfield code="a">530</subfield><subfield code="q">VZ</subfield></datafield><datafield tag="100" ind1="1" ind2=" "><subfield code="a">Kulkarni, D. R.</subfield><subfield code="e">verfasserin</subfield><subfield code="4">aut</subfield></datafield><datafield tag="245" ind1="1" ind2="0"><subfield code="a">SU3 symmetry and effective interactions in the s-d shell</subfield></datafield><datafield tag="264" ind1=" " ind2="1"><subfield code="c">1969</subfield></datafield><datafield tag="336" ind1=" " ind2=" "><subfield code="a">Text</subfield><subfield code="b">txt</subfield><subfield code="2">rdacontent</subfield></datafield><datafield tag="337" ind1=" " ind2=" "><subfield code="a">ohne Hilfsmittel zu benutzen</subfield><subfield code="b">n</subfield><subfield code="2">rdamedia</subfield></datafield><datafield tag="338" ind1=" " ind2=" "><subfield code="a">Band</subfield><subfield code="b">nc</subfield><subfield code="2">rdacarrier</subfield></datafield><datafield tag="500" ind1=" " ind2=" "><subfield code="a">© Società Italiana di Fisica 1969</subfield></datafield><datafield tag="520" ind1=" " ind2=" "><subfield code="a">Summary The effective interaction in the s-d shell can be characterized in terms of diagonal radial matrix elements InlSin relative states of orbital angular momentum l of two nucleons. The symmetry properties of radial matrix elements in l = 0 states are investigated. The parameters I0sand I2sare shown to give exact SU3symmetry of the eigenfunctions. The SU3-symmetry-breaking property of I1sis explicitly demonstrated, but it is also found that in realistic calculations such an effect is somewhat suppressed by the single-particle spin-orbit force. We also show that whereas the T = 1 eigenfunctions (for J = 0, 2, 4 for two nucleons) can be very well generated from a suitable deformed intrinsic state, the T = 0 eigenfunctions (J = 1, 2, 3) generated from deformed states have poor overlaps with shell-model eigenfunctions in the absence of spin-orbit splitting of single-particle orbits. Inclusion of single-particle spin-orbit force improves very strikingly the overlaps between the generated and the shell-model T = 0 states.</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Wave Function</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Orbital Angular Momentum</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Effective Interaction</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Intrinsic State</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Radial Matrix Element</subfield></datafield><datafield tag="700" ind1="1" ind2=" "><subfield code="a">Pandya, S. P.</subfield><subfield code="4">aut</subfield></datafield><datafield tag="773" ind1="0" ind2="8"><subfield code="i">Enthalten in</subfield><subfield code="t">Il Nuovo Cimento B (1965-1970)</subfield><subfield code="d">Springer Berlin Heidelberg, 1971</subfield><subfield code="g">60(1969), 1 vom: März, Seite 199-209</subfield><subfield code="w">(DE-627)130067806</subfield><subfield code="w">(DE-600)441919-4</subfield><subfield code="w">(DE-576)015602214</subfield><subfield code="x">2037-4895</subfield><subfield code="7">nnns</subfield></datafield><datafield tag="773" ind1="1" ind2="8"><subfield code="g">volume:60</subfield><subfield code="g">year:1969</subfield><subfield code="g">number:1</subfield><subfield code="g">month:03</subfield><subfield code="g">pages:199-209</subfield></datafield><datafield tag="856" ind1="4" ind2="1"><subfield code="u">https://doi.org/10.1007/BF02712363</subfield><subfield code="z">lizenzpflichtig</subfield><subfield code="3">Volltext</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_USEFLAG_A</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">SYSFLAG_A</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_OLC</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">SSG-OLC-PHY</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">SSG-OPC-AST</subfield></datafield><datafield tag="951" ind1=" " ind2=" "><subfield code="a">AR</subfield></datafield><datafield tag="952" ind1=" " ind2=" "><subfield code="d">60</subfield><subfield code="j">1969</subfield><subfield code="e">1</subfield><subfield code="c">03</subfield><subfield code="h">199-209</subfield></datafield></record></collection>
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