Shell model on a random gaussian basis

Details Shell model on a random gaussian basis Shell model on a random gaussian basis

1994-03-23

arxiv.org/abs/nucl-th/9403016v1

Phys.Rev.C50:1292-1295,1994

Physics

Nuclear Physics

Nuclear Theory

Latex, Submitted to Phys. Lett. B, 7 pages, 2 figures available upon request, ATOMKI-1994-2

Scientific paper

10.1103/PhysRevC.50.R1292

Pauli-projected random gaussians are used as a representation to solve the shell model equations. The elements of the representation are chosen by a variational procedure. This scheme is particularly suited to describe cluster formation and cluster decay in nuclei. It overcomes the basis-size problem of the ordinary shell model and the technical difficulties of the cluster-configuration shell model. The model reproduces the $\alpha$-decay width of $^{212}$Po satisfactorily.

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