Deuteron-induced nucleon transfer reactions within an ab initio framework: First application to p-shell nuclei

Abstract

Background: Low-energy transfer reactions in which a proton is stripped from a deuteron projectile and dropped into a target play a crucial role in the formation of nuclei in both primordial and stellar nucleosynthesis, as well as in the study of exotic nuclei using radioactive beam facilities and inverse kinematics. Ab initio approaches have been successfully applied to describe the ${}^3$H$(d,n{)}^4$He and ${}^3$He$(d,p{)}^4$He fusion processes. Purpose: An ab initio treatment of transfer reactions would also be desirable for heavier targets. In this work, we extend the ab initio description of $(d,p)$ reactions to processes with light $p$-shell nuclei. As a first application, we study the elastic scattering of deuterium on ${}^7$Li and the ${}^7$Li($d$,$p$)${}^8$Li transfer reaction based on a two-body Hamiltonian. Methods: We use the no-core shell model to compute the wave functions of the nuclei involved in the reaction, and describe the dynamics between targets and projectiles with the help of microscopic-cluster states in the spirit of the resonating group method. Results: The shape of the excitation functions for deuteron impinging on ${}^7$Li are qualitatively reproduced up to the deuteron breakup energy. The interplay between $d$-${}^7$Li and $p$-${}^8$Li particle-decay channels determines some features of the ${}^9$Be spectrum above the $d$+${}^7$Li threshold. Our prediction for the parity of the 17.298 MeV resonance is at odds with the experimental assignment Conclusions: Deuteron stripping reactions with $p$-shell targets can now be computed ab initio, but calculations are very demanding. A quantitative description of the ${}^7$Li($d$,$p$)${}^8$Li reaction will require further work to include the effect of three-nucleon forces and additional decay channels, and improve the convergence rate of our calculations.

16 pages, 11 figures, submitted to Phys. Rev. C

References in corpus (11)

• Chiral effective field theory and nuclear forces
• The Primordial Lithium Problem
• Recent developments in no-core shell-model calculations
• Evolution of Nuclear Many-Body Forces with the Similarity Renormalization Group
• Unified ab initio approach to bound and unbound states: no-core shell model with continuum and its application to 7He
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• Evolved Chiral NN+3N Hamiltonians for Ab Initio Nuclear Structure Calculations
• Unified description of ${}^6$Li structure and deuterium-${}^4$He dynamics with chiral two- and three-nucleon forces
• Continuum and Three-Nucleon Force Effects on 9Be Energy Levels
• Adiabatic model of $(d,p)$ reactions with explicitly energy-dependent non-local potentials
• Transfer reaction experiments with radioactive beams: from halos to the r-process

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• Ab initio optical potentials and nucleon scattering on medium mass nuclei
• ${}^7$Be and ${}^7$Li nuclei within the no-core shell model with continuum
• Ab initio prediction of the ${}^4\mathrm{He}(d,\gamma ){}^6\mathrm{Li}$ big bang radiative capture
• Three-cluster dynamics within the ab initio no-core shell model with continuum: How many-body correlations and $\alpha$-clustering shape ${}^6$He
• Merging ab initio theory and few-body approach for $(d,p)$ reactions
• Role of resonances in the 8li(p,g)9be capture on reaction rate of the relevant astrophysical synthesis of 9be
• Quantifying uncertainties due to irreducible three-body forces in deuteron-nucleus reactions
• Gamow Shell Model description of ${}^{40}$Ca(d,p) transfer reaction
• Coupled-cluster computations of optical potential for medium-mass nuclei
• ${}^7$Li($d$,$p$)${}^8$Li transfer reaction in the NCSM/RGM approach
• Transfer reactions as a Tool in Nuclear Astrophysics