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A Constrained-Path Quantum Monte-Carlo Approach for the Nuclear Shell Model

Abstract : A new Quantum Monte-Carlo (QMC) approach is proposed to investigate low-lying states of nuclei within the shell model. The formalism relies on a variational symmetry-restored wave-function to guide the underlying Brownian motion. Sign/phase problems that usually plague QMC fermionic simulations are controlled by constraining stochastic paths through a fixed-node like approximation. Exploratory results in the sd and pf valence spaces with realistic effective interactions are presented. They prove the ability of the scheme to yield nearly exact yrast spectroscopies for both even- and odd-mass nuclei.
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http://hal.in2p3.fr/in2p3-00805495
Contributor : Sandrine Guesnon <>
Submitted on : Wednesday, April 17, 2013 - 10:57:15 AM
Last modification on : Tuesday, February 19, 2019 - 10:04:10 AM

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J. Bonnard, O. Juillet. A Constrained-Path Quantum Monte-Carlo Approach for the Nuclear Shell Model. Physical Review Letters, American Physical Society, 2013, 111, pp.012502. ⟨10.1103/PhysRevLett.111.012502⟩. ⟨in2p3-00805495⟩

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