Practical solution to the Monte Carlo sign problem: Realistic calculations of Fe54

Y. Alhassid, D. J. Dean, S. E. Koonin, G. Lang, W. E. Ormand

Research output: Contribution to journalArticle

Abstract

We present a practical solution to the sign problem in the auxiliary field Monte Carlo approach to the nuclear shell model. The method is based on extrapolation from a continuous family of problem-free Hamiltonians. To demonstrate the resultant ability to treat large shell-model problems, we present results for the Fe54 in the full fp-shell basis using the Brown-Richter interaction. We find the Gamow-Teller + strength to be quenched by 58% relative to the single-particle estimate, in better agreement with experiment than previous estimates based on truncated bases.

Original languageEnglish (US)
Pages (from-to)613-616
Number of pages4
JournalPhysical Review Letters
Volume72
Issue number5
DOIs
StatePublished - 1994

Fingerprint

estimates
extrapolation
interactions

ASJC Scopus subject areas

  • Physics and Astronomy(all)

Cite this

Practical solution to the Monte Carlo sign problem : Realistic calculations of Fe54. / Alhassid, Y.; Dean, D. J.; Koonin, S. E.; Lang, G.; Ormand, W. E.

In: Physical Review Letters, Vol. 72, No. 5, 1994, p. 613-616.

Research output: Contribution to journalArticle

Alhassid, Y. ; Dean, D. J. ; Koonin, S. E. ; Lang, G. ; Ormand, W. E. / Practical solution to the Monte Carlo sign problem : Realistic calculations of Fe54. In: Physical Review Letters. 1994 ; Vol. 72, No. 5. pp. 613-616.
@article{c55fc90b691e455ea0a2ffe5beef9cdb,
title = "Practical solution to the Monte Carlo sign problem: Realistic calculations of Fe54",
abstract = "We present a practical solution to the sign problem in the auxiliary field Monte Carlo approach to the nuclear shell model. The method is based on extrapolation from a continuous family of problem-free Hamiltonians. To demonstrate the resultant ability to treat large shell-model problems, we present results for the Fe54 in the full fp-shell basis using the Brown-Richter interaction. We find the Gamow-Teller + strength to be quenched by 58{\%} relative to the single-particle estimate, in better agreement with experiment than previous estimates based on truncated bases.",
author = "Y. Alhassid and Dean, {D. J.} and Koonin, {S. E.} and G. Lang and Ormand, {W. E.}",
year = "1994",
doi = "10.1103/PhysRevLett.72.613",
language = "English (US)",
volume = "72",
pages = "613--616",
journal = "Physical Review Letters",
issn = "0031-9007",
publisher = "American Physical Society",
number = "5",

}

TY - JOUR

T1 - Practical solution to the Monte Carlo sign problem

T2 - Realistic calculations of Fe54

AU - Alhassid, Y.

AU - Dean, D. J.

AU - Koonin, S. E.

AU - Lang, G.

AU - Ormand, W. E.

PY - 1994

Y1 - 1994

N2 - We present a practical solution to the sign problem in the auxiliary field Monte Carlo approach to the nuclear shell model. The method is based on extrapolation from a continuous family of problem-free Hamiltonians. To demonstrate the resultant ability to treat large shell-model problems, we present results for the Fe54 in the full fp-shell basis using the Brown-Richter interaction. We find the Gamow-Teller + strength to be quenched by 58% relative to the single-particle estimate, in better agreement with experiment than previous estimates based on truncated bases.

AB - We present a practical solution to the sign problem in the auxiliary field Monte Carlo approach to the nuclear shell model. The method is based on extrapolation from a continuous family of problem-free Hamiltonians. To demonstrate the resultant ability to treat large shell-model problems, we present results for the Fe54 in the full fp-shell basis using the Brown-Richter interaction. We find the Gamow-Teller + strength to be quenched by 58% relative to the single-particle estimate, in better agreement with experiment than previous estimates based on truncated bases.

UR - http://www.scopus.com/inward/record.url?scp=4243211746&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=4243211746&partnerID=8YFLogxK

U2 - 10.1103/PhysRevLett.72.613

DO - 10.1103/PhysRevLett.72.613

M3 - Article

AN - SCOPUS:4243211746

VL - 72

SP - 613

EP - 616

JO - Physical Review Letters

JF - Physical Review Letters

SN - 0031-9007

IS - 5

ER -