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A phase-free quantum Monte Carlo method for the nuclear shell model

Abstract : The shell model provides a powerful framework for nuclear structure calculations. The nucleons beyond an inert magic core are confined in a valence shell and interact through an effective two-body potential generally determined from the G-matrix method. However, the applicability of the shell model remains limited by the exponential growth of the many-body space with the number of valence nucleons and with the size of the one-body space. The quantum Monte Carlo (QMC) methods may thus be considered as a potentially attractive alternative to the direct diagonalization of the Hamiltonian matrix. The many-body problem is indeed reduced to a set of stochastic one-body problems describing independent particles in a fluctuating external field. Up to date, the QMC approaches of the shell model lead to the ground-state and the thermodynamic properties, but a detailed spectroscopy of nuclei is not reachable. Furthermore, they suffer from a common pathology of fermionic QMC methods, namely the sign/phase problem, which strongly contaminates the convergence of the calculation. In this context, we will present a new QMC method, providing the "yrast spectroscopy" of nuclei, and in which the sign/phase problem is managed through the constrained path approximation that is widely used in the ab initio nuclear calculations and in condensed matter physics.
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Contributor : Sandrine Guesnon <>
Submitted on : Friday, July 26, 2013 - 10:27:17 AM
Last modification on : Tuesday, February 19, 2019 - 10:04:10 AM


  • HAL Id : in2p3-00848371, version 1


J. Bonnard, O. Juillet. A phase-free quantum Monte Carlo method for the nuclear shell model. 2nd European Nuclear Physics Conference, 2012, Bucarest, Romania. ⟨in2p3-00848371⟩



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