Direct correlation between the near-proton-emission threshold resonance in $^{11}$B and the branching ratio of beta-delayed proton emission from $^{11}$Be
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arXiv
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| Format: | Preprint |
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2024
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| _version_ | 1866909392776986624 |
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| author | Nguyen, Le-Anh Bui, Minh-Loc |
| author_facet | Nguyen, Le-Anh Bui, Minh-Loc |
| contents | Background: Beta-delayed proton emission from neutron halo nuclei $^{11}$Be represents a rare decay process. The existence of the narrow resonance near the proton-emission threshold in $^{11}$B explains its unexpectedly high probability. However, the accurate value of the branching ratio remains challenging to determine. Purpose: We aim to provide a microscopic potential model to determine the branching ratio for beta-delayed proton emission from $^{11}$Be. We focus on quantifying the influence of the narrow resonance near the proton emission threshold on the result of the branching ratio. Method: We employ the Skyrme Hartree-Fock calculation within the potential model to obtain the branching ratio. We derive the single-particle potentials for the halo neutron and the emitting proton from the Skyrme Hartree-Fock calculation with minimal adjustment. As the resonance position is tightly linked to the potential depth, we can demonstrate quantitatively how variations in its location impact the outcome. Result: Slight variations in the resonance position significantly impact the branching ratio, with the upper limit reaching the order of $10^{-5}$. Conclusion: Experimental determination of the resonance energy, particularly whether it lies below $200$ keV, is crucial for determining the value of the branching ratio. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2411_10700 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Direct correlation between the near-proton-emission threshold resonance in $^{11}$B and the branching ratio of beta-delayed proton emission from $^{11}$Be Nguyen, Le-Anh Bui, Minh-Loc Nuclear Theory Nuclear Experiment Background: Beta-delayed proton emission from neutron halo nuclei $^{11}$Be represents a rare decay process. The existence of the narrow resonance near the proton-emission threshold in $^{11}$B explains its unexpectedly high probability. However, the accurate value of the branching ratio remains challenging to determine. Purpose: We aim to provide a microscopic potential model to determine the branching ratio for beta-delayed proton emission from $^{11}$Be. We focus on quantifying the influence of the narrow resonance near the proton emission threshold on the result of the branching ratio. Method: We employ the Skyrme Hartree-Fock calculation within the potential model to obtain the branching ratio. We derive the single-particle potentials for the halo neutron and the emitting proton from the Skyrme Hartree-Fock calculation with minimal adjustment. As the resonance position is tightly linked to the potential depth, we can demonstrate quantitatively how variations in its location impact the outcome. Result: Slight variations in the resonance position significantly impact the branching ratio, with the upper limit reaching the order of $10^{-5}$. Conclusion: Experimental determination of the resonance energy, particularly whether it lies below $200$ keV, is crucial for determining the value of the branching ratio. |
| title | Direct correlation between the near-proton-emission threshold resonance in $^{11}$B and the branching ratio of beta-delayed proton emission from $^{11}$Be |
| topic | Nuclear Theory Nuclear Experiment |
| url | https://arxiv.org/abs/2411.10700 |