Results from Shell Model Monte Carlo Studies

Abstract

We review results obtained using Shell Model Monte Carlo (SMMC) techniques. These methods reduce the imaginary-time many-body evolution operator to a coherent superposition of one-body evolutions in fluctuating one-body fields; the resultant path integral is evaluated stochastically. After a brief review of the methods, we discuss a variety of nuclear physics applications. These include studies of the ground-state properties of pf-shell nuclei, Gamow-Teller strength distributions, thermal and rotational pairing properties of nuclei near N=Z, $\gamma$-soft nuclei, and $\beta \beta$-decay in ^{76}Ge. Several other illustrative calculations are also reviewed. Finally, we discuss prospects for further progress in SMMC and related calculations.

References in corpus (3)

• Pairing and Isospin Symmetry in Proton-Rich Nuclei
• Pairing correlations in N~Z pf-shell nuclei
• Temperature Dependence of Pair Correlations in Nuclei in the Iron-Region

Cited by in corpus (15)

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• Shell model study of the isobaric chains A=50, A=51 and A=52
• Symmetry restoration in mean-field approaches
• QRPA plus Phonon Coupling Model and the Photoabsorbtion Cross Section for ${}^{18,20,22}$O
• Stochastic quantum dynamics beyond mean-field
• Shell Model Monte Carlo studies of neutron-rich nuclei in the 1s-0d-1p-0f shells
• Electron capture in stars
• An exact stochastic mean-field approach to the fermionic many-body problem
• Pairing Reentrance Phenomenon in Heated Rotating Nuclei in the Shell Model Monte Carlo Approach
• Shell Model Monte Carlo method in the $pn$-formalism and applications to the Zr and Mo isotopes
• Complex Langevin Equation and the Many-Fermion Problem
• Stochastic mean-field dynamics for fermions in the weak coupling limit
• Stochastic Schroedinger equation from optimal observable evolution
• Exact and approximate many-body dynamics with stochastic one-body density matrix evolution
• Matrix-product state approach to the generalized nuclear pairing Hamiltonian