[Submitted on 6 Nov 2020]
Variational approach with the superposition of the symmetry-restored quasi-particle vacua for nuclear shell-model calculations
Noritaka Shimizu · Yusuke Tsunoda · Yutaka Utsuno · Takaharu Otsuka
We propose a variational calculation scheme utilizing the superposition of the angular-momentum, parity, number projected quasiparticle vacua, that is especially suitable for applying to medium-heavy nuclei in shell-model calculations. We derive a formula for the energy variance with quasi-particle vacua and apply the energy-variance extrapolation to the present scheme for further precise estimation of the exact shell-model energy. The validity of the method is presented for the shell-model calculation of Ba in the model space. We also discuss the feasibility of this scheme in the case of the Nd in the and model space and demonstrate that its neutrinoless-double-beta-decay matrix element is obtained showing good convergence.
- Subjects:
- Nuclear Theory (nucl-th)
- arXiv:
- 2011.03157 [pdf]