Path integral Monte Carlo calculations of4He and6Li

Y. Alhassid, G. Maddison, K. Langanke, K. Chow, S. E. Koonin

Research output: Contribution to journalArticle

Abstract

We have performed Monte Carlo calculations to estimate the exact energies of model problems for4He and the L=0,1, and 2 states of6Li. Using a Feynman path-integral expression for the imaginary-time evolution operator, we recast the ground state energy as a sum over histories, which are then sampled stochastically. Use of a trial wave function dramatically improves the efficiency of the Monte Carlo method. For a state-independent Malfliet-Tjon potential, together with the Coulomb interaction, we find a ground state energy of -28.00+0.20 MeV for4He, and a degeneracy of the L=0,1, and 2 states in6Li at about -59.65+-0.50 MeV. Density distributions for these nuclei are also calculated.

Original languageEnglish (US)
Pages (from-to)677-685
Number of pages9
JournalZeitschrift für Physik A Atoms and Nuclei
Volume321
Issue number4
DOIs
StatePublished - Dec 1985

Fingerprint

ground state
Monte Carlo method
density distribution
energy
histories
wave functions
operators
nuclei
estimates
interactions

Keywords

  • 2.60+y
  • 21.40.+d

ASJC Scopus subject areas

  • Nuclear and High Energy Physics

Cite this

Path integral Monte Carlo calculations of4He and6Li. / Alhassid, Y.; Maddison, G.; Langanke, K.; Chow, K.; Koonin, S. E.

In: Zeitschrift für Physik A Atoms and Nuclei, Vol. 321, No. 4, 12.1985, p. 677-685.

Research output: Contribution to journalArticle

Alhassid, Y. ; Maddison, G. ; Langanke, K. ; Chow, K. ; Koonin, S. E. / Path integral Monte Carlo calculations of4He and6Li. In: Zeitschrift für Physik A Atoms and Nuclei. 1985 ; Vol. 321, No. 4. pp. 677-685.
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