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2003•Journal of Physics G Nuclear and Particle PhysicsOpen access

A comparison between the Monte Carlo shell model method and the Monte Carlo spectroscopic method

G. Puddu

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Abstract

A comparison is made between a variant of the Monte Carlo shell model method and the recently introduced Monte Carlo spectroscopic method. While the first method optimally determines a many-body shell model basis in which the Hamiltonian is diagonalized, and therefore relies on the determination of the most relevant part of the nuclear wavefunction, the second method stochastically samples observables including the full Hilbert space. Agreement is found between the two methods.

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What this paper is about

A comparison is made between a variant of the Monte Carlo shell model method and the recently introduced Monte Carlo spectroscopic method. While the first method optimally determines a many-body shell model basis in which the Hamiltonian is diagonalized, and therefore relies on the determination of the most relevant part of the nuclear wavefunction, the second method stochastically samples observables including the full Hilbert space. Agreement is found between the two methods.

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Available abstract

A comparison is made between a variant of the Monte Carlo shell model method and the recently introduced Monte Carlo spectroscopic method. While the first method optimally determines a many-body shell model basis in which the Hamiltonian is diagonalized, and therefore relies on the determination of the most relevant part of the nuclear wavefunction, the second method stochastically samples observables including the full Hilbert space. Agreement is found between the two methods.

Key concepts: Monte Carlo method, Hybrid Monte Carlo, Monte Carlo molecular modeling, Dynamic Monte Carlo method, Monte Carlo method in statistical physics, Statistical physics, Quantum Monte Carlo, SHELL model

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