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 (26)

• Solar fusion cross sections II: the pp chain and CNO cycles
• Gamow Shell Model Description of Neutron-Rich Nuclei
• Shell Model in the Complex Energy Plane
• Gamow Shell Model Description of Weakly Bound Nuclei and Unbound Nuclear States
• Discrete and continuum spectra in the unified shell model approach
• A Measurement of the Coulomb Dissociation of 8B at 254 MeV/nucleon and the 8B Solar Neutrino Flux
• Continuum Shell Model
• Ab initio many-body calculation of the 7Be(p,gamma)8B radiative capture
• Precise measurement of the ^7Be(p,gamma)^8B S-factor
• New measurement and analysis of the 7Be(p,gamma)8B cross section
• Ab-initio No-Core Gamow Shell Model calculations with realistic interactions
• 7Be(p,gamma)8B astrophysical S-factor from precision cross section measurements
• Study of the ${}^{7}Be(p,\gamma {)}^{8}B$ and ${}^{7}Li(n,\gamma {)}^{8}Li$ capture reactions using the shell model embedded in the continuum
• A New Precision Measurement of the 7Be(p,gamma)8B Cross section with an Implanted 7Be Target
• Coulomb dissociation of 8B and the low-energy cross section of the 7Be(p,gamma)8B solar fusion reaction
• Low energy measurement of the 7Be(p,gamma)8B cross section
• S17(0) Determined from the Coulomb Breakup of 83 MeV/nucleon 8B
• Analysis of the 16O(p,gamma)17F capture reaction using the shell model embedded in the continuum
• Radiative Neutron Capture on Lithium-7
• A New Measurement of the Proton Capture Rate on 7Be and the S17(0) Factor
• Low-energy cross section of the 7Be(p,g)8B solar fusion reaction from Coulomb dissociation of 8B
• Gamow shell model description of proton scattering on ${}^{18}$Ne
• A simple and efficient numerical scheme to integrate non-local potentials
• Complex energy approaches for calculating isobaric analogue states
• Determining the 7Li(n,gamma) cross section via Coulomb dissociation of 8Li
• Weakly bound systems, continuum effects, and reactions

Cited by in corpus (29)

• Non-Empirical Interactions for the Nuclear Shell Model: An Update
• Effective field theory description of halo nuclei
• In-Medium Similarity Renormalization Group for Closed and Open-Shell Nuclei
• From bound states to the continuum
• Quantified Gamow Shell Model interaction for $psd$-shell nuclei
• Two-neutron halo structure of ${}^{31}$F
• An above-barrier narrow resonance in ${}^{15}$F
• Gamow shell model description of radiative capture reactions ${}^6$Li$(p,\gamma )$${}^7$Be and ${}^6$Li$(n,\gamma )$${}^7$Li
• Single-particle and collective motion in unbound deformed ${}^{39}\text{Mg}$
• Gamow shell model description of ${}^4$He($d$,$d$) elastic scattering reactions
• Description of proton-rich nuclei in the $A\sim 20$ region with the Gamow shell model
• Calculation of the Thomas-Ehrman shift in ${}^{16}$F and ${}^{15}$O(p,p) cross section with the Gamow shell model
• Efficacy of the symmetry-adapted basis for ab initio nucleon-nucleus interactions for light- and intermediate-mass nuclei
• Models, measurements, and effective field theory: proton capture on Beryllium-7 at next-to-leading order
• Spectroscopic factors of resonance states with the Gamow shell model
• Distributions of the $S$-matrix poles in Woods-Saxon and cut-off Woods-Saxon potentials
• Gamow shell model description of the radiative capture reaction ${}^8$Li$(n,\gamma )$${}^9$Li
• Corrections to nucleon capture cross sections computed in truncated Hilbert spaces
• Perspectives on few-body cluster structures in exotic nuclei
• Collectivity of the electromagnetic transitions in near-threshold resonances
• Continuum discretized BCS approach for weakly bound nuclei
• A Vision for the Science of Rare Isotopes
• Coupled-channel treatment of ${}^7\mathrm{Li}(n,\gamma {)}^8\mathrm{Li}$ in effective field theory
• Gamow shell model calculations for the Thomas-Ehrman shift in new isotopes 21Al
• ${}^{19}$F$(p,\gamma )$${}^{20}$Ne reaction rate and the puzzling calcium abundance in metal poor stars
• 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
• Clusterization in nuclear states at the edge of stability
• Astrophysical S-factor for ${}^6$Li$(p,\gamma )$${}^7$Be in the coupled-channel Gamow shell model