Shell Model the Monte Carlo Way

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1 Shell Model the Monte Carlo Way

The fomalism for the auxiliary-field Monte Carlo approach to the nuclear shell model is presented. The method is based on a linearization Df the twobody part of the Hamiltonian in an imaginary-time propagator using the Hubbard-Stratonovich transformation. The foundation of the method, as applied to the nuclear many-body problem, is discussed. Topics presented in detail include: (1) the density-...

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Results from Shell Model Monte Carlo Studies

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 onebody 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 ...

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Shell-model Monte Carlo studies of fp-shell nuclei.

We study the gross properties of even-even and N = Z nuclei with A = 48 64 using shell-model Monte Carlo methods. Our calculations account for all 0 h! con gurations in the fp-shell and employ the modi ed Kuo-Brown interaction KB3. We nd good agreement with data for masses and total B(E2) strengths, the latter employing e ective charges ep = 1:35e and en = 0:35e. The calculated total Gamow-Tell...

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Monte Carlo methods and applications for the nuclear shell model

The shell-model Monte Carlo (SMMC) technique transforms the traditional nuclear shell-model problem into a path-integral over auxiliary fields. We describe below the method and its applications to four physics issues: calculations of sd-pf shell nuclei, a discussion of electron-capture rates in pf -shell nuclei, exploration of pairing correlations in unstable nuclei, and level densities in rare...

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Shell Model Monte Carlo method in the -formalism

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ژورنال

عنوان ژورنال: Progress of Theoretical Physics Supplement

سال: 1996

ISSN: 0375-9687

DOI: 10.1143/ptps.124.37