Calculation of the ${}^6$Li ground state within the hyperspherical harmonic basis

Abstract

We have studied the solution of the six-nucleon bound state problem using the hyperspherical harmonic (HH) approach. For this study we have considered only two-body nuclear forces. In particular we have used a chiral nuclear potential evolved with the similarity renormalization group unitary transformation. A restricted basis has been selected by performing a careful analysis of the convergence of different HH classes. Finally, the binding energy and other properties of ${}^6$Li ground state are calculated and compared with the results obtained by other techniques. Then, we present a calculation of matrix elements relevant for direct dark matter search involving ${}^6$Li. The results obtained demonstrate the feasibility of using the HH method to perform calculation beyond $A=4$.

21 pages, 9 figures

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• Non-symmetrized hyperspherical harmonic basis for $A$-bodies
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• Monte Carlo Calculation for the neutron-rich Ca isotopes
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• Analyzing powers Ayy, Axx, Axz and Ay in the dd->3Hen reaction at 270 MeV
• The Auxiliary Field Diffusion Monte Carlo Method for Nuclear Physics and Nuclear Astrophysics
• Comparative study of ${}^6$He $\beta$-decay based on different similarity-renormalization-group evolved chiral interactions
• Perspectives on few-body cluster structures in exotic nuclei
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• Theoretical calculation of nuclear reactions of interest for Big Bang Nucleosynthesis