### Abstract

We have performed Monte Carlo calculations to estimate the exact energies of model problems for^{4}He and the L=0,1, and 2 states of^{6}Li. 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 for^{4}He, and a degeneracy of the L=0,1, and 2 states in^{6}Li at about -59.65+-0.50 MeV. Density distributions for these nuclei are also calculated.

Original language | English (US) |
---|---|

Pages (from-to) | 677-685 |

Number of pages | 9 |

Journal | Zeitschrift für Physik A Atoms and Nuclei |

Volume | 321 |

Issue number | 4 |

DOIs | |

State | Published - Dec 1985 |

### Fingerprint

### Keywords

- 2.60+y
- 21.40.+d

### ASJC Scopus subject areas

- Nuclear and High Energy Physics

### Cite this

^{4}He and

^{6}Li.

*Zeitschrift für Physik A Atoms and Nuclei*,

*321*(4), 677-685. https://doi.org/10.1007/BF01432445

**Path integral Monte Carlo calculations of ^{4}He and^{6}Li.** / Alhassid, Y.; Maddison, G.; Langanke, K.; Chow, K.; Koonin, S. E.

Research output: Contribution to journal › Article

^{4}He and

^{6}Li',

*Zeitschrift für Physik A Atoms and Nuclei*, vol. 321, no. 4, pp. 677-685. https://doi.org/10.1007/BF01432445

^{4}He and

^{6}Li. Zeitschrift für Physik A Atoms and Nuclei. 1985 Dec;321(4):677-685. https://doi.org/10.1007/BF01432445

}

TY - JOUR

T1 - Path integral Monte Carlo calculations of4He and6Li

AU - Alhassid, Y.

AU - Maddison, G.

AU - Langanke, K.

AU - Chow, K.

AU - Koonin, S. E.

PY - 1985/12

Y1 - 1985/12

N2 - 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.

AB - 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.

KW - 2.60+y

KW - 21.40.+d

UR - http://www.scopus.com/inward/record.url?scp=0346059822&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0346059822&partnerID=8YFLogxK

U2 - 10.1007/BF01432445

DO - 10.1007/BF01432445

M3 - Article

AN - SCOPUS:0346059822

VL - 321

SP - 677

EP - 685

JO - Zeitschrift fur Physik A Hadrons and Nuclei

JF - Zeitschrift fur Physik A Hadrons and Nuclei

SN - 0939-7922

IS - 4

ER -