Filter diagonalization of shell-model calculations

Details Filter diagonalization of shell-model calculations Filter diagonalization of shell-model calculations

2010-08-03

arxiv.org/abs/1008.0434v1

Phys.Rev.C82:024310,2010

Physics

Nuclear Physics

Nuclear Theory

10 pages, 8 figures, accepted in Phys. Rev. C

Scientific paper

10.1103/PhysRevC.82.024310

We present a method of filter diagonalization for shell-model calculations. This method is based on the Sakurai and Sugiura (SS) method, but extended with help of the shifted complex orthogonal conjugate gradient (COCG) method. A salient feature of this method is that it can calculate eigenvalues and eigenstates in a given energy interval. We show that this method can be an alternative to the Lanczos method for calculating ground and excited states, as well as spectral strength functions. With an application to the $M$-scheme shell-model calculations we demonstrate that several inherent problems in the widely-used Lanczos method can be removed or reduced.

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