Physics
Scientific paper
Nov 2002
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2002phrvc..66e4308m&link_type=abstract
Physical Review C, vol. 66, Issue 5, id. 054308
Physics
33
Nuclear Matter, Nuclear Matter Aspects Of Neutron Stars
Scientific paper
Variational calculations of nucleon matter, either symmetric nuclear or pure neutron matter, use Fermi hypernetted chain and single-operator chain summation methods to sum approximately the contributions of clusters of >=3 nucleons to the energy expectation value. The cluster contributions summed by these methods are discussed in detail, and it is shown that for realistic interactions the 3-body cluster contribution is larger than the sum of >=4-body contributions. We present a new method, based on representing cluster wave functions by multidimensional vectors in spin-isospin space, as is common in quantum Monte Carlo calculations of light nuclei, to calculate exactly the 3-body cluster contribution including 3-body forces and all but spin-orbit correlations. The variational energies obtained with the Argonne v18 2- and Urbana IX 3-nucleon interactions, using the exact 2- and 3-body cluster contributions and the approximate >=4-body contributions summed with chain summation techniques are lower, closer to the empirical values for symmetric nuclear matter than in previous calculations using the operator chain summation approximation for the large 3-body cluster. In pure neutron matter the operator chain summation approximation is found to be fairly accurate for the 3-body cluster; the present results are only slightly higher than the previous ones. We also report on the results for the Argonne v14 2-nucleon interaction without any 3-body interaction. This case has been studied with Brueckner's method including 2, 3, and parts of 4-hole line terms by Day and Wiringa [Phys. Rev. C 32, 1057 (1985)]. Our results are significantly lower than theirs.
Morales Jaime
Pandharipande Vijay R.
Ravenhall D. G.
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