Precise estimation of shell model energy by second order extrapolation method

Abstract

A second order extrapolation method is presented for shell model calculations, where shell model energies of truncated spaces are well described as a function of energy variance by quadratic curves and exact shell model energies can be obtained by the extrapolation. This new extrapolation can give more precise energy than those of first order extrapolation method. It is also clarified that first order extrapolation gives a lower limit of shell model energy. In addition to the energy, we derive the second order extrapolation formula for expectation values of other observables.

PRC in press

Cited by in corpus (20)

• The Shell Model as Unified View of Nuclear Structure
• Variational Benchmarks for Quantum Many-Body Problems
• Phase transition in exotic nuclei along the $N=Z$ line
• Novel Extrapolation Method in the Monte Carlo Shell Model
• Importance-Truncated Large-Scale Shell Model
• Variational approach with the superposition of the symmetry-restored quasi-particle vacua for nuclear shell-model calculations
• Extrapolation Method for the No-Core Shell Model
• Variational procedure for nuclear shell-model calculations and energy-variance extrapolation
• Solution of large scale nuclear structure problems by wave function factorization
• Filter diagonalization of shell-model calculations
• Mitigating algorithmic errors in quantum optimization through energy extrapolation
• Extrapolation method in shell model calculations with deformed basis
• New variational Monte Carlo method with an energy variance extrapolation for large-scale shell-model calculations
• An efficient method to evaluate energy variances for extrapolation methods
• Variational Monte Carlo method for shell-model calculations in odd-mass nuclei and restoration of symmetry
• Unique features of structure in an odd-proton $N\approx Z$ nucleus ${}^{69}$As
• Lowest eigenvalue of the nuclear shell model Hamiltonian
• Stochastic extension of the Lanczos method for nuclear shell-model calculations with variational Monte Carlo method
• Anomalous behavior of the first excited 0${}^{+}$ state in $N\approx Z$ nuclei
• A study of open shell nuclei using chiral two-body interactions