SU(3) in Interacting Boson Models

Kota, V. K. B.

doi:10.1007/978-981-15-3603-8_7

Cited by 1 publication

(4 citation statements)

References 69 publications

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“…Let us add that in practice, for obtaining the irrep reductions, the simplified rules given in [82] and the computer codes in [83] will also be useful.…”

Section: Irrep Reductionsmentioning

confidence: 99%

“…Again each U(4) irrep can be expanded into symmetric irreps of U(4) using equation (A2). Now, evaluation of the Kronecker products of U(4) irreps follows from the rules given for example in [79,81] and simplified in [82]. Using this for example it is easy to obtain { }…”

Section: Conclusion and Future Outlookmentioning

confidence: 99%

“…. For example we have, 5 into (L) SO(3) follow from the rules given in [79,82] and some examples from the tables in [79]…”

Section: S S Smentioning

confidence: 99%

“…There are additional rules when [ ] w has more than five rows [79,81]. Applying equation (A12), we have for example  for v 2 = 0, 1 and 2 follow easily from the procedure given for example in [82]. Similarly, as mentioned before reductions for all [ ] v v , 1 2 with v 1 8 are tabulated in [79].…”

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confidence: 97%

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Proxy-SU(4) symmetry in A = 60–90 region

Kota,

Sahu

2024

Phys. Scr.

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Applications of the proxy-SU(3) model of Bonatsos and collaborators to nuclei in A=60-90 region introduces proxy-SU(4) symmetry. Shell model spaces with single particle (sp) orbits 1p3⁄2, 1p1⁄2, 0f5⁄2 and 0g9⁄2 are essential for these nuclei and also protons and neutrons in this region occupy the same sp orbits. With this and applying the ”proxy scheme”, the 0g9⁄2 changes to 0f7⁄2 giving the SGA U(40)have the proxy-⊃ [U(10)SU⊃ G(3) model. It is easy to see that proxy-⊃ SO(3)] ⊗ [SU(4) ⊃ SUS(2) ⊗ SUT(2)]. With G = SU(3), weSU(3) symmetry implies goodness of the SU(4) symmetry appearing above, i.e. proxy-SU(4) symmetry. Shell model calculations pointing out the need for 0g9⁄2 orbit, ground state masses, shape changes and shape co-existence in A=60-90 region and GT distributions clearly show the importance of proxy-SU(4) in this mass region. Besides presenting this evidence, new proxy schemes with G = SU(5), SO(6) and SO(10) that are generated by good proxy-SU(4) symmetry are described in some detail. An important feature is that the four proxy symmetries SU(3), SO(6), SU(5) and SO(10) appear twice.

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“…Let us add that in practice, for obtaining the irrep reductions, the simplified rules given in [82] and the computer codes in [83] will also be useful.…”

Section: Irrep Reductionsmentioning

confidence: 99%

Section: Conclusion and Future Outlookmentioning

confidence: 99%

“…. For example we have, 5 into (L) SO(3) follow from the rules given in [79,82] and some examples from the tables in [79]…”

Section: S S Smentioning

confidence: 99%

mentioning

confidence: 97%

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Proxy-SU(4) symmetry in A = 60–90 region

Kota,

Sahu

2024

Phys. Scr.

View full text Add to dashboard Cite

show abstract

SU(3) in Interacting Boson Models

Cited by 1 publication

References 69 publications

Proxy-SU(4) symmetry in A = 60–90 region

Proxy-SU(4) symmetry in A = 60–90 region

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