Extrapolation method in shell model calculations with deformed basis

Abstract

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.

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

References in corpus (4)

• Factorization of shell-model ground-states
• Extrapolation Method for the No-Core Shell Model
• Solution of large scale nuclear structure problems by wave function factorization
• Precise estimation of shell model energy by second order extrapolation method

Cited by in corpus (7)

• Novel Extrapolation Method in the Monte Carlo Shell Model
• Variational procedure for nuclear shell-model calculations and energy-variance extrapolation
• Variational Monte Carlo method for shell-model calculations in odd-mass nuclei and restoration of symmetry
• An efficient method to evaluate energy variances for extrapolation methods
• Lowest eigenvalue of the nuclear shell model Hamiltonian
• Effect of residual many-body forces due to the evolution in the in-medium similarity renormalization group method
• Many-body calculations with Deuteron based single-particle bases and their associated natural orbits