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.

14 pages, 4 figures, 3 tables

References in corpus (13)

• Chiral effective field theory and nuclear forces
• Three-body forces: From cold atoms to 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
• Unified ab initio approach to bound and unbound states: no-core shell model with continuum and its application to 7He
• Four-nucleon scattering: Ab initio calculations in momentum space
• Quantified Gamow Shell Model interaction for $psd$-shell 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
• Structure and decays of nuclear three-body systems: the Gamow coupled-channel method in Jacobi coordinates
• ${}^6$Li in a Three-Body Model with Realistic Forces: Separable vs. Non-separable Approach

Cited by in corpus (8)

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• Calculation of the Thomas-Ehrman shift in ${}^{16}$F and ${}^{15}$O(p,p) cross section with the Gamow shell model
• Gamow shell model calculations for the Thomas-Ehrman shift in new isotopes 21Al
• Gamow Shell Model description of ${}^{40}$Ca(d,p) transfer reaction
• ${}^{19}$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