Variational Monte Carlo method for shell-model calculations in odd-mass nuclei and restoration of symmetry - INSPIRE

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Variational Monte Carlo method for shell-model calculations in odd-mass nuclei and restoration of symmetry

Noritaka Shimizu
(
- Tokyo U., CNS
)
,
Takahiro Mizusaki
(
- Senshu U., Tokyo
)

Aug 3, 2018

10 pages

Published in:

Phys.Rev.C 98 (2018) 5, 054309

Published: Nov 16, 2018

e-Print:

1808.01122 [nucl-th]

DOI:

10.1103/PhysRevC.98.054309

View in:

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Abstract: (APS)

Background: While a large-scale shell model calculation (LSSM) is a powerful model to describe the nuclear spectroscopic information, it requires a huge amount of computational resources. As an efficient approximation framework to the LSSM, we have introduced the variational Monte Carlo (VMC) method [T. Mizusaki et al., Phys. Rev. C 85, 021301(R) (2012)PRVCAN0556-281310.1103/PhysRevC.85.021301]. However, this framework was applicable only to even-mass nuclei. Purpose: We aim to extend the VMC method for better precision and to make it applicable to odd-mass nuclei. Methods: We investigate two kinds of extensions for the VMC method with the Pfaffian in the nuclear shell-model calculations. One is the extension to odd-mass nuclei, for which we find a new Pfaffian expression of the VMC matrix elements. The other is the extension of the variation after angular-momentum projection. Results: We successfully implement the full angular-momentum projected trial state into the VMC method, which can provide us with precise yrast energies. We also find a unique characteristic, namely that this angular-momentum projection in the VMC can be even “approximately” performed. Conclusions: A unified VMC framework with the variation after projection is given both for even and odd-mass nuclei. The approximate angular-momentum projection is useful not only for efficient computation but also for precise estimation of the yrast energies through the energy-variance extrapolation.

Note:

10 pages, 4 figures, submitted to Phys. Rev. C

21.60.Cs
21.60.Ka
Nuclear Structure

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