Symmetry restoration in the axially deformed proton-neutron quasiparticle random phase approximation for nuclear beta decay: The effect of angular-momentum projection
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| Main Authors: | , , , |
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| Format: | Preprint |
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2025
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| _version_ | 1866914385707925504 |
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| author | Chen, R. N. Zhang, Y. N. Yao, J. M. Engel, J. |
| author_facet | Chen, R. N. Zhang, Y. N. Yao, J. M. Engel, J. |
| contents | We examine the effects of symmetry restoration on nuclear beta decay within the axially deformed proton-neutron quasiparticle random phase approximation (QRPA). We employ the proton-neutron finite-amplitude method (pnFAM) to compute transition amplitudes, and perform angular-momentum projection both after variation and after the QRPA to restore rotational symmetry. Exact projection reduces the calculated beta decay half-lives from those that use the needle approximation by up to 60%, and even more when taking the effects of projection on the ground-state energy into account. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2510_16313 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Symmetry restoration in the axially deformed proton-neutron quasiparticle random phase approximation for nuclear beta decay: The effect of angular-momentum projection Chen, R. N. Zhang, Y. N. Yao, J. M. Engel, J. Nuclear Theory Nuclear Experiment We examine the effects of symmetry restoration on nuclear beta decay within the axially deformed proton-neutron quasiparticle random phase approximation (QRPA). We employ the proton-neutron finite-amplitude method (pnFAM) to compute transition amplitudes, and perform angular-momentum projection both after variation and after the QRPA to restore rotational symmetry. Exact projection reduces the calculated beta decay half-lives from those that use the needle approximation by up to 60%, and even more when taking the effects of projection on the ground-state energy into account. |
| title | Symmetry restoration in the axially deformed proton-neutron quasiparticle random phase approximation for nuclear beta decay: The effect of angular-momentum projection |
| topic | Nuclear Theory Nuclear Experiment |
| url | https://arxiv.org/abs/2510.16313 |