Constraining theoretical Corrections to Gamow-Teller Transition Rates
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arXiv
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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2024
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| _version_ | 1866917581195051008 |
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| author | Xayavong, L. Lim, Y. |
| author_facet | Xayavong, L. Lim, Y. |
| contents | We propose two novel constraints for the theoretical corrections to Gamow-Teller transition rates.
The first, derived from a two-level model, predicts forbidden regions within the plane defined
by the isospin-mixing correction, $δ_{C1}$, and the ratio, $η$,
of the isospin-symmetry Gamow-Teller matrix elements between the upper and lower admixed states.
It serves as a filter for the theoretical calculations, particularly effective for small values of $|η|$.
The other employs experimental $ft$ values, incorporating the upper admixed states,
and exploits mirror symmetry to eliminate isospin-invariant and nuclear structure-independent quantities.
This approach not only offers an alternative mean for collectively testing theoretical corrections
but also, as a byproduct, enables the extraction of $η^2$.
This provides another sensitive test for the isospin-conserving component of nuclear Hamiltonian.
Our investigation reveals a substantial cancellation of among radiative correction contributions in these tests. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2402_01165 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Constraining theoretical Corrections to Gamow-Teller Transition Rates Xayavong, L. Lim, Y. Nuclear Theory Nuclear Experiment We propose two novel constraints for the theoretical corrections to Gamow-Teller transition rates. The first, derived from a two-level model, predicts forbidden regions within the plane defined by the isospin-mixing correction, $δ_{C1}$, and the ratio, $η$, of the isospin-symmetry Gamow-Teller matrix elements between the upper and lower admixed states. It serves as a filter for the theoretical calculations, particularly effective for small values of $|η|$. The other employs experimental $ft$ values, incorporating the upper admixed states, and exploits mirror symmetry to eliminate isospin-invariant and nuclear structure-independent quantities. This approach not only offers an alternative mean for collectively testing theoretical corrections but also, as a byproduct, enables the extraction of $η^2$. This provides another sensitive test for the isospin-conserving component of nuclear Hamiltonian. Our investigation reveals a substantial cancellation of among radiative correction contributions in these tests. |
| title | Constraining theoretical Corrections to Gamow-Teller Transition Rates |
| topic | Nuclear Theory Nuclear Experiment |
| url | https://arxiv.org/abs/2402.01165 |