The three nucleon bound state with realistic soft core and hard core potentials

Jun, 1992
14 pages
Published in:
  • Nucl.Phys.A 551 (1993) 241-254

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Abstract: (Elsevier)
The wave function of the three-nucleon bound state is decomposed in the LS coupling scheme and the radial amplitudes of all the channels considered are expanded on a set of correlated basis functions. Two different types of correlated expansions are investigated, namely the pair (PHH) and the Jastrow (CHH) correlated hyperspherical-harmonic expansions. The correlation factor includes only one pair-correlation function per channel in the PHH case, whilst it is a product of three pair-correlation functions per channel in the CHH case. The optimal dependence on the hyperradius is determined by means of a variational technique. For the Argonne AV14 potential the results given by the PHH expansion are in very close agreement with those of Kameyana et al . The CHH expansion allows for treating hard-core interactions too, and the results obtained for the Hamada-Johnston potential noticeably improve those obtained with other methods.