Solution of large scale nuclear structure problems by wave function factorization

Details Solution of large scale nuclear structure problems by wave function factorization Solution of large scale nuclear structure problems by wave function factorization

2003-08-08

arxiv.org/abs/nucl-th/0308027v1

Phys.Rev. C69 (2004) 024312

Physics

Nuclear Physics

Nuclear Theory

12 pages, 12 figures (from 15 eps files) included

Scientific paper

10.1103/PhysRevC.69.024312

Low-lying shell model states may be approximated accurately by a sum over products of proton and neutron states. The optimal factors are determined by a variational principle and result from the solution of rather low-dimensional eigenvalue problems. Application of this method to sd-shell nuclei, pf-shell nuclei, and to no-core shell model problems shows that very accurate approximations to the exact solutions may be obtained. Their energies, quantum numbers and overlaps with exact eigenstates converge exponentially fast as the number of retained factors is increased.

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