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

Direct correlation between the near-proton-emission threshold resonance in $^{11}$ B and the branching ratio of beta-delayed proton emission from $^{11}$ Be

Nov 15, 2024

6 pages

e-Print:

2411.10700 [nucl-th]

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Abstract: (arXiv)

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.

Note:

6 pages, 3 figures, submitted to Physical Review C

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Direct correlation between the near-proton-emission threshold resonance in 11^{11}11B and the branching ratio of beta-delayed proton emission from 11^{11}11Be

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Direct correlation between the near-proton-emission threshold resonance in $^{11}$ B and the branching ratio of beta-delayed proton emission from $^{11}$ Be