### 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 1 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