@article{f138c9b035424941b0d6dd07778a93cf,

title = "Shell model Monte Carlo methods",

abstract = "We review quantum Monte Carlo methods for dealing with large shell model problems. These methods reduce the imaginary-time many-body evolution operator to a coherent superposition of one-body evolutions in fluctuating one-body fields; the resultant path integral is evaluated stochastically. We first discuss the motivation, formalism, and implementation of such Shell Model Monte Carlo (SMMC) methods. There then follows a sampler of results and insights obtained from a number of applications. These include the ground state and thermal properties of pf-shell nuclei, the thermal and rotational behavior of rare-earth and γ-soft nuclei, and the calculation of double beta-decay matrix elements. Finally, prospects for further progress in such calculations are discussed.",

keywords = "Monte Carlo method, Nuclear shell model",

author = "Koonin, {S. E.} and Dean, {D. J.} and K. Langanke",

note = "Funding Information: Many people have contributedto the developmenat nd initial applicationo f SMMC methods. These includeY . Alhassid,C . Johnson,G . Lang, W.E. Ormand,P .B. Radha,a nd, more recently, M.T. Ressell,P . Vogel, J. White, and D.C. Zheng.T . Kuo suppliedu s with effectivein teractions for thosel argem odel spacest hath ad neverb eent reatedb efore.W e also wish to thankA . Arima, G. BertschA, . Brown,B . MottelsonW, . Nazarewicza, ndA . Povesf or usefuld iscussionsF.i nally,we would like to thankP . Vogel andG .E. Brown for carefula ndc riticalr eadingo f the final manuscript. This work was supportedb y NSF grantsP HY91-15574P, HY94-12818a, nd PHY94-20470C. om-putationacl ycleso n the Intel DELTA and PARAGON werep rovidedb y the ConcurrenSt upercom-putingC onsortiuma t Caltech.C yclesw erea lsop rovidedo n the VPPSOO,a vectorp arallelp rocessor at the RIKEN supercomputinfga cility,a nd on the IBM SP-2 at the Maui HPCC facility.W e thank Drs. I. Tanihataa nd S. Ohta for their assistancwe ith the former.T he Maui HPCC facility is sponsoredi n{\textquoteright} part by the Phillips LaboratoryA, ir Force MaterialC ommand,U SAF, under cooperative agreemenntu mberF 2960l-93-2-0001 .",

year = "1997",

month = jan,

doi = "10.1016/S0370-1573(96)00017-8",

language = "English (US)",

volume = "278",

pages = "1--77",

journal = "Physics Reports",

issn = "0370-1573",

publisher = "Elsevier",

number = "1",

}