Constrained-Path Quantum Monte-Carlo Approach for Non-Yrast States Within the Shell Model
arXiv:1512.06011 · doi:10.1140/epja/i2016-16110-6
Abstract
The present paper intends to present an extension of the constrained-path quantum Monte-Carlo approach allowing to reconstruct non-yrast states in order to reach the complete spectroscopy of nuclei within the interacting shell model. As in the yrast case studied in a previous work, the formalism involves a variational symmetry-restored wave function assuming two central roles. First, it guides the underlying Brownian motion to improve the efficiency of the sampling. Second, it constrains the stochastic paths according to the phaseless approximation to control sign or phase problems that usually plague fermionic QMC simulations. Proof-of-principle results in the valence space are reported. They prove the ability of the scheme to offer remarkably accurate binding energies for both even- and odd-mass nuclei irrespective of the considered interaction.
11 pages, 4 figures
References in corpus (24)
- An accurate nucleon-nucleon potential with charge-independence breaking
- The Shell Model as Unified View of Nuclear Structure
- Quantum Monte Carlo Calculations of Light Nuclei
- A Constrained Path Monte Carlo Method for Fermion Ground States
- Quantum Monte Carlo method using phase-free random walks with Slater determinants
- Quantum Monte Carlo Calculations with Chiral Effective Field Theory Interactions
- Monte Carlo evaluation of path integrals for the nuclear shell model
- Quantum Monte Carlo Calculations of Neutron Matter
- Practical solution to the Monte Carlo sign problem: Realistic calculations of 54Fe
- Shell-model Monte Carlo studies of fp-shell nuclei
- Nuclear Shell Model by the Quantum Monte Carlo Diagonalization Method
- Auxiliary-field quantum Monte Carlo calculations of molecular systems with a Gaussian basis
- Symmetry in Auxiliary-Field Quantum Monte Carlo Calculations
- Pressure-induced diamond to beta-tin transition in bulk silicon: a near-exact quantum Monte Carlo study
- Quantum Monte Carlo calculations of electroweak transition matrix elements in A = 6,7 nuclei
- Heavy deformed nuclei in the shell model Monte Carlo method
- Pairing correlations in N~Z pf-shell nuclei
- Symmetry-projected Wave Functions in Quantum Monte Carlo Calculations
- Auxiliary Field Diffusion Monte Carlo calculation of nuclei with A<40 with tensor interactions
- No-Core MCSM calculation for Be and Be low-lying spectra
- Shell Model Monte Carlo Investigation of Rare Earth Nuclei
- SMMC method for two-neutrino double beta decay
- Parity-Projected Shell Model Monte Carlo Level Densities for fp-shell Nuclei
- A Constrained-Path Quantum Monte-Carlo Approach for the Nuclear Shell Model