Translationally invariant treatment of pair correlations in nuclei: I. Spin and isospin dependent correlations

Abstract

We study the extension of our translationally invariant treatment of few-body nuclear systems to heavier nuclei. At the same time we also introduce state-dependent correlation operators. Our techniques are tailored to those nuclei that can be dealt with in $LS$ coupling, which includes all nuclei up to the shell closure at $A=40$. We study mainly $p$-shell nuclei in this paper. A detailed comparison with other microscopic many-body approaches is made, using a variety of schematic nuclear interactions. It is shown that our methodology produces very good energies, and presumably also wave functions, for medium mass nuclei.

arXiv comment23 pages, 1 postscript figure. Uses elsart.cls and epsfig.sty

References in corpus (4)

• Quantum Monte Carlo Calculations of $A\le 6$ Nuclei
• Precise solution of few-body problems with stochastic variational method on correlated Gaussian basis
• Study of bound and scattering states in three-nucleon systems
• Model calculations of doubly closed shell nuclei in CBF theory III. j-j coupling and isospin dependence

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• Spin-dependent correlations and the semi-exclusive ^{16}O(e,e'p) reaction
• Method for Solving the Many-Body Bound State Nuclear Problem
• Translationally invariant treatment of pair correlations in nuclei: II. Tensor correlations
• Nuclear Structure Calculations with Coupled Cluster Methods from Quantum Chemistry
• Probing short-range correlations in asymmetric nuclei with quasi-free pair knockout reactions
• Translationally-invariant coupled-cluster method for finite systems
• Projected multicluster model with Jastrow and linear state dependent correlations for $12\le A\le 16$ nuclei
• State-dependent Jastrow correlation functions for 4He nuclei
• Continuum coupled cluster expansion
• Variational Monte Carlo for Microscopic Cluster Models