Extrapolation method in shell model calculations with deformed basis

Details Extrapolation method in shell model calculations with deformed basis Extrapolation method in shell model calculations with deformed basis

2004-08-27

arxiv.org/abs/nucl-th/0408070v1

Phys.Rev. C70 (2004) 044316

Physics

Nuclear Physics

Nuclear Theory

5 pages, 2 figures, accepted for publication in Phys. Rev. C

Scientific paper

10.1103/PhysRevC.70.044316

An extrapolation method in shell model calculations with deformed basis is presented, which uses a scaling property of energy and energy variance for a series of systematically approximated wave functions to the true one. Such approximated wave functions are given by variation-after-projection method concerning the full angular momentum projection. This extrapolation needs energy variance, which amounts to the calculation of expectation value of square of Hamiltonian $\hat{H}^2$. We present the method to evaluate this matrix element and show that large reduction of its numerical computation can be done by taking an advantage of time-reversal symmetry. The numerical tests are presented for $fp$ shell calculations with a realistic residual interaction.

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