### Abstract

We investigate nuclear matter on a cubic lattice. An exact thermal formalism is applied to nucleons with a Hamiltonian that accommodates on-site and next-neighbor parts of the central, spin-, and isospin-exchange interactions. We describe the nuclear matter Monte Carlo methods which contain elements from shell model Monte Carlo methods and from numerical simulations of the Hubbard model. We show that energy and basic saturation properties of nuclear matter can be reproduced. Evidence of a first-order phase transition from an uncorrelated Fermi gas to a clustered system is observed by computing mechanical and thermodynamical quantities such as compressibility, heat capacity, entropy, and grand potential. We compare symmetry energy and first sound velocities with literature and find reasonable agreement.

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

Pages (from-to) | 443201-4432011 |

Number of pages | 3988811 |

Journal | Physical Review C - Nuclear Physics |

Volume | 61 |

Issue number | 4 |

State | Published - Apr 2000 |

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### ASJC Scopus subject areas

- Physics and Astronomy(all)
- Nuclear and High Energy Physics

### Cite this

*Physical Review C - Nuclear Physics*,

*61*(4), 443201-4432011.

**Nuclear matter on a lattice.** / Müller, H. M.; Koonin, S. E.; Seki, R.; Van Kolck, U.

Research output: Contribution to journal › Article

*Physical Review C - Nuclear Physics*, vol. 61, no. 4, pp. 443201-4432011.

}

TY - JOUR

T1 - Nuclear matter on a lattice

AU - Müller, H. M.

AU - Koonin, S. E.

AU - Seki, R.

AU - Van Kolck, U.

PY - 2000/4

Y1 - 2000/4

N2 - We investigate nuclear matter on a cubic lattice. An exact thermal formalism is applied to nucleons with a Hamiltonian that accommodates on-site and next-neighbor parts of the central, spin-, and isospin-exchange interactions. We describe the nuclear matter Monte Carlo methods which contain elements from shell model Monte Carlo methods and from numerical simulations of the Hubbard model. We show that energy and basic saturation properties of nuclear matter can be reproduced. Evidence of a first-order phase transition from an uncorrelated Fermi gas to a clustered system is observed by computing mechanical and thermodynamical quantities such as compressibility, heat capacity, entropy, and grand potential. We compare symmetry energy and first sound velocities with literature and find reasonable agreement.

AB - We investigate nuclear matter on a cubic lattice. An exact thermal formalism is applied to nucleons with a Hamiltonian that accommodates on-site and next-neighbor parts of the central, spin-, and isospin-exchange interactions. We describe the nuclear matter Monte Carlo methods which contain elements from shell model Monte Carlo methods and from numerical simulations of the Hubbard model. We show that energy and basic saturation properties of nuclear matter can be reproduced. Evidence of a first-order phase transition from an uncorrelated Fermi gas to a clustered system is observed by computing mechanical and thermodynamical quantities such as compressibility, heat capacity, entropy, and grand potential. We compare symmetry energy and first sound velocities with literature and find reasonable agreement.

UR - http://www.scopus.com/inward/record.url?scp=0034165203&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0034165203&partnerID=8YFLogxK

M3 - Article

VL - 61

SP - 443201

EP - 4432011

JO - Physical Review C - Nuclear Physics

JF - Physical Review C - Nuclear Physics

SN - 0556-2813

IS - 4

ER -