Description of the proton and neutron radiative capture reactions in the Gamow shell model

Abstract

We formulate the Gamow shell model (GSM) in coupled-channel (CC) representation for the description of proton/neutron radiative capture reactions and present the first application of this new formalism for the calculation of cross-sections in mirror reactions 7Be(p,gamma)8B and 7Li(n,gamma)8Li. The GSM-CC formalism is applied to a translationally-invariant Hamiltonian with an effective finite-range two-body interaction. Reactions channels are built by GSM wave functions for the ground state 3/2- and the first excited state 1/2- of 7Be/7Li and the proton/neutron wave function expanded in different partial waves.

References in corpus (3)

• Shell Model in the Complex Energy Plane
• Radiative Neutron Capture on Lithium-7
• Complex energy approaches for calculating isobaric analogue states

Cited by in corpus (29)

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• Gamow shell model description of the radiative capture reaction ${}^8$Li$(n,\gamma )$${}^9$Li
• Corrections to nucleon capture cross sections computed in truncated Hilbert spaces
• Perspectives on few-body cluster structures in exotic nuclei
• Collectivity of the electromagnetic transitions in near-threshold resonances
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• A Vision for the Science of Rare Isotopes
• Coupled-channel treatment of ${}^7\mathrm{Li}(n,\gamma {)}^8\mathrm{Li}$ in effective field theory
• Gamow shell model calculations for the Thomas-Ehrman shift in new isotopes 21Al
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• Matching polynomial tails to the cut-off Woods-Saxon potential
• Gamow shell model study of the 17Ne(p, p) reaction and of isospin symmetry breaking in 18Na
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