Seniority-two valence-shell building blocks of the octupole phonon
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arXiv
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| Main Authors: | , , , , , |
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| Format: | Preprint |
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2025
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| _version_ | 1866910961976213504 |
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| author | Scheck, M. Chapman, R. Mashtakov, K. Meeten, R. Sassarini, P. L. Spagnoletti, P. |
| author_facet | Scheck, M. Chapman, R. Mashtakov, K. Meeten, R. Sassarini, P. L. Spagnoletti, P. |
| contents | The relative ordering of $J^-$ levels of multiplets resulting from two-body excitations, which include a $J^π=3^-$ state that can contribute to the octupole phonon, are investigated in a simplistic shell-model approach. To calculate the relative level ordering, harmonic oscillator wavefunctions and a residual $δ$ interaction are used. The simplistic approach confirms for the particle-particle channel, the often stated preference of the $Δj=3, Δl =3$ subshell combination over the $Δj=3, Δl =1$ subshell combination through an enhanced energy gain. Furthermore, it is shown that, in the particle-hole channel, the gain is less pronounced for the $Δj=3, Δl =3$ subshell configuration. In combination with the overall structure of an oscillator shell, these results explain the comparatively low excitation energy for 3$^-_1$ excitations observed for the octupole-soft proton and neutron numbers predicted by various models. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2505_16515 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Seniority-two valence-shell building blocks of the octupole phonon Scheck, M. Chapman, R. Mashtakov, K. Meeten, R. Sassarini, P. L. Spagnoletti, P. Nuclear Theory Nuclear Experiment The relative ordering of $J^-$ levels of multiplets resulting from two-body excitations, which include a $J^π=3^-$ state that can contribute to the octupole phonon, are investigated in a simplistic shell-model approach. To calculate the relative level ordering, harmonic oscillator wavefunctions and a residual $δ$ interaction are used. The simplistic approach confirms for the particle-particle channel, the often stated preference of the $Δj=3, Δl =3$ subshell combination over the $Δj=3, Δl =1$ subshell combination through an enhanced energy gain. Furthermore, it is shown that, in the particle-hole channel, the gain is less pronounced for the $Δj=3, Δl =3$ subshell configuration. In combination with the overall structure of an oscillator shell, these results explain the comparatively low excitation energy for 3$^-_1$ excitations observed for the octupole-soft proton and neutron numbers predicted by various models. |
| title | Seniority-two valence-shell building blocks of the octupole phonon |
| topic | Nuclear Theory Nuclear Experiment |
| url | https://arxiv.org/abs/2505.16515 |