A Unitary correlation operator method
Sep, 1997
43 pages
Published in:
- Nucl.Phys.A 632 (1998) 61-95
e-Print:
- nucl-th/9709038 [nucl-th]
Report number:
- GSI-PREPRINT-97-54
Citations per year
Abstract:
The short range repulsion between nucleons is treated by a unitary correlation operator which shifts the nucleons away from each other whenever their uncorrelated positions are within the replusive core. By formulating the correlation as a transformation of the relative distance between particle pairs, general analytic expressions for the correlated wave functions and correlated operators are given. The decomposition of correlated operators into irreducible n-body operators is discussed. The one- and two-body-irreducible parts are worked out explicitly and the contribution of three-body correlations is estimated to check convergence. Ground state energies of nuclei up to mass number A=48 are calculated with a spin-isospin-dependent potential and single Slater determinants as uncorrelated states. They show that the deduced energy- and mass-number-independent correlated two-body Hamiltonian reproduces all "exact" many-body calculations surprisingly well.- 21.30.Fe
- 21.45.+v
- 21.60.-n
- 13.75.C
- Few-body systems
- Fermion systems
- Ground state properties
- Short range correlations
- Nucleon-nucleon interactions
- Effective interactions
References(25)
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