Effect of correlations on the momentum distribution of protons in 208 Pb

1986
17 pages
Published in:
  • Nucl.Phys.A 452 (1986) 445-461
  • Published: 1986

Citations per year

198719952003201120190123456
Abstract: (Elsevier)
The momentum distribution of protons in 208 Pb is investigated in the framework of a model in which the ground-state wave function is specified by the occupation probabilities of shell-model orbits. Three main cases are considered: (i) the Hartree-Fock approximation (uncorrelated case), (ii) the random-phase approximation associated with long-range correlations, (iii) the case including short-, medium- and long-range as well as tensor correlations. The three cases yield similar results for momenta smaller than 1.6 fm −1 , but the medium- and short-range and tensor correlations increase by several orders of magnitude the probability of finding a proton with momentum larger than 1.6 fm −1 in the nuclear ground state. These features are in semi-quantitative agreement with those previously found in lighter nuclei by using the Brueckner-Hartree-Fock, the Jastrow and the exp( S ) approaches, and also with results obtained in the limit of nuclear matter. They considerably differ from those derived from two simple local-density approximations. The calculated momentum distributions are compared with empirical results.