Gamow shell model description of ${}^4$He($d$,$d$) elastic scattering reactions

Abstract

Structure of weakly bound/unbound light nuclei is often related to the low-energy decay channels involving composite particles like deuteron or $\alpha$-particle. These channels are essential to understand the appearance of light nuclei in the Big Bang nucleosynthesis or the helium fusion. We generalize the Gamow shell model (GSM) in coupled-channel (GSM-CC) representation to include reaction channels with the composite particles. In the core + valence particle formulation, this unified microscopic approach for structure and reactions involving weakly bound/unbound nuclei can be also applied to study low-energy properties of heavy nuclei. As the first application of this generalized GSM-CC approach, we describe the structure of 6Li and deuteron - $\alpha$-particle elastic scattering using the same effective Furutani-Horiuchi-Tamagaki (FHT) type nucleon-nucleon interaction. Asymptotically, the deuteron structure including its continuum is described using the N3LO chiral force. The bulk of the data, including low-energy spectrum of 6Li, asymptotic normalization coefficients, and angular differential cross sections are satisfactorily described.

arXiv comment14 pages, 4 figures, 3 tables

References in corpus (40)

• Modern Theory of Nuclear Forces
• The high-precision, charge-dependent Bonn nucleon-nucleon potential (CD-Bonn)
• Chiral effective field theory and nuclear forces
• Accurate Charge-Dependent Nucleon-Nucleon Potential at Fourth Order of Chiral Perturbation Theory
• Properties of ${}^{12}$C in the {\it ab initio} nuclear shell-model
• Three-body forces: From cold atoms to nuclei
• High-quality two-nucleon potentials up to fifth order of the chiral expansion
• Evolution of Nuclear Spectra with Nuclear Forces
• Gamow Shell Model Description of Neutron-Rich Nuclei
• Shell Model in the Complex Energy Plane
• A high-precision variational approach to three- and four-nucleon bound and zero-energy scattering states
• Ab Initio Many-Body Calculations of n-3H, n-4He, p-{3,4}He, and n-10Be Scattering
• Quantum Monte Carlo calculations of neutron-alpha scattering
• Two-Particle Resonant States in a Many-Body Mean Field
• Gamow Shell Model Description of Weakly Bound Nuclei and Unbound Nuclear States
• Discrete and continuum spectra in the unified shell model approach
• Nucleon-deuteron elastic scattering as a tool to probe properties of three-nucleon forces
• Unified ab initio approach to bound and unbound states: no-core shell model with continuum and its application to 7He
• Ab initio description of the exotic unbound 7He nucleus
• Testing Non-local Nucleon-Nucleon Interactions in the Four-Nucleon Systems
• Four-nucleon scattering: Ab initio calculations in momentum space
• Ab initio many-body calculation of the 7Be(p,gamma)8B radiative capture
• Ab-initio No-Core Gamow Shell Model calculations with realistic interactions
• Theory of the two-proton radioactivity in the continuum shell model
• Ab initio many-body calculations of deuteron-4He scattering and 6Li states
• Can tetraneutron be a narrow resonance?
• Analysis of the 16O(p,gamma)17F capture reaction using the shell model embedded in the continuum
• Quantified Gamow Shell Model interaction for $psd$-shell nuclei
• Isospin mixing and the continuum coupling in weakly bound nuclei
• Microscopic theory of the two-proton radioactivity
• Unified description of ${}^6$Li structure and deuterium-${}^4$He dynamics with chiral two- and three-nucleon forces
• Solution of n-${}^4$He elastic scattering problem using Faddeev-Yakubovsky equations
• Structure and decays of nuclear three-body systems: the Gamow coupled-channel method in Jacobi coordinates
• Gamow shell model description of proton scattering on ${}^{18}$Ne
• Description of the proton and neutron radiative capture reactions in the Gamow shell model
• 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
• A simple and efficient numerical scheme to integrate non-local potentials
• ${}^6$Li in a Three-Body Model with Realistic Forces: Separable vs. Non-separable Approach
• Weakly bound systems, continuum effects, and reactions

Cited by in corpus (18)

• A Guided Tour of Ab Initio Nuclear Many-Body Theory
• From bound states to the continuum
• Nuclear Dynamics and Reactions in the Ab Initio Symmetry-Adapted Framework
• Alpha clustering and alpha-capture reaction rate from ab initio symmetry-adapted description of ${}^{20}$Ne
• Description of proton-rich nuclei in the $A\sim 20$ region with the Gamow shell model
• Gamow Shell Model description of Li isotopes and their mirror partners
• 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
• Gamow shell model description of the radiative capture reaction ${}^8$Li$(n,\gamma )$${}^9$Li
• Collectivity of the electromagnetic transitions in near-threshold resonances
• A Vision for the Science of Rare Isotopes
• Neutron-nucleus dynamics simulations for quantum computers
• Gamow shell model calculations for the Thomas-Ehrman shift in new isotopes 21Al
• Gamow Shell Model description of ${}^{40}$Ca(d,p) transfer reaction
• Ab initio informed 20Ne(p, p$\alpha$)16O reaction elucidates the emergence of alpha clustering from chiral potentials
• ${}^{19}$F$(p,\gamma )$${}^{20}$Ne reaction rate and the puzzling calcium abundance in metal poor stars
• 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