Ground state of N=Z doubly closed shell nuclei in CBF theory

Abstract

The ground state properties of N=Z doubly closed shell nuclei are studied within correlated basis function theory. A truncated version of the Urbana v14 realistic potential, with spin, isospin and tensor components, is adopted, together with state dependent correlations. Fermi hypernetted chain integral equation and single operator chain approximation are used to evaluate density, distribution function and ground state energy of 16O and 40Ca. The results favourably compare with the available, variational MonteCarlo estimates and provide a first substantial check of the accuracy of the cluster summation method for state dependent correlations. We achieve in finite nuclei at least the same level of accuracy in the treatment of non central interactions and correlations as in nuclear matter. This opens the way for a microscopic study of medium heavy nuclei ground state using present days realistic hamiltonians.

35 pages (LateX) + 3 figures. Phys.Rev.C, in press

References in corpus (4)

• Quantum Monte Carlo calculations of nuclei with A \leq 7
• Study of bound and scattering states in three-nucleon systems
• The inclusive transverse response of nuclear matter
• Effects of state dependent correlations on nucleon density and momentum distributions

Cited by in corpus (22)

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• Ground-state energies, densities and momentum distributions in closed-shell nuclei calculated within a cluster expansion approach and realistic interactions
• One Body Density Matrix, Natural Orbits and Quasi Hole States in 16O and 40Ca
• Spin-orbit and tensor interactions in homogeneous matter of nucleons: accuracy of modern many-body theories
• Many-body perturbation calculation of spherical nuclei with a separable monopole interaction: I. Finite nuclei
• A model of short-range correlations in the charge response
• Tensor interaction in Hartree--Fock calculations
• Ground state of medium-heavy doubly-closed shell nuclei in correlated basis function theory
• A correlated model for lambda-hypernuclei
• Significance and properties of internucleon correlation functions
• Short-range correlations and meson exchange currents in photonucleon emission
• Short-range correlations in semi-exclusive electron scattering experiments
• The Auxiliary Field Diffusion Monte Carlo Method for Nuclear Physics and Nuclear Astrophysics
• Correlation effects in single-particle overlap functions and one-nucleon removal reactions
• Projected multicluster model with Jastrow and linear state dependent correlations for $12\le A\le 16$ nuclei
• Deuteron distribution in nuclei and the Levinger's factor
• Extraction of nucleon momentum distributions from inclusive electron scattering on nuclei
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