Shell model Monte Carlo methods
نویسندگان
چکیده
منابع مشابه
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...
متن کاملResults 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 ...
متن کامل1 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-...
متن کاملShell-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...
متن کاملMonte Carlo and quasi-Monte Carlo methods
Monte Carlo is one of the most versatile and widely used numerical methods. Its convergence rate, O(N~^), is independent of dimension, which shows Monte Carlo to be very robust but also slow. This article presents an introduction to Monte Carlo methods for integration problems, including convergence theory, sampling methods and variance reduction techniques. Accelerated convergence for Monte Ca...
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ژورنال
عنوان ژورنال: Physics Reports
سال: 1997
ISSN: 0370-1573
DOI: 10.1016/s0370-1573(96)00017-8