### Abstract

The time-dependent Hartree-Fock theory is applied to the large amplitude dynamics of slabs of spin and isospin symmetric nuclear matter. The slabs are translationally invariant in two transverse dimensions, and with the simplified effective interaction used in this work, the problem is reduced to a set of coupled nonlinear equations for time-dependent functions of a single spatial variable. By specification of appropriate initial conditions, large amplitude oscillations of a single slab, the scattering of a slab from an external potential barrier, and collisions of two slabs have been investigated. The results evidence a wide variety of dynamic phenomena, including fusion, compound nucleus formation, dissipation, strongly damped collisions, shock wave propagation, and fragmentation. The microscopic aspects of the dynamics, the relation to fluid mechanics, and the practical and conceptual problems arising from the theory are discussed in detail. NUCLEAR STRUCTURE Time-dependent Hartree-Fock approximation applied to nuclear dynamics. Describes large amplitude collective motion, collisions, dissipation, shock propagation.

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

Pages (from-to) | 1226-1258 |

Number of pages | 33 |

Journal | Physical Review C - Nuclear Physics |

Volume | 13 |

Issue number | 3 |

DOIs | |

State | Published - 1976 |

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### ASJC Scopus subject areas

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

### Cite this

*Physical Review C - Nuclear Physics*,

*13*(3), 1226-1258. https://doi.org/10.1103/PhysRevC.13.1226

**One-dimensional nuclear dynamics in the time-dependent Hartree-Fock approximation.** / Bonche, P.; Koonin, S.; Negele, J. W.

Research output: Contribution to journal › Article

*Physical Review C - Nuclear Physics*, vol. 13, no. 3, pp. 1226-1258. https://doi.org/10.1103/PhysRevC.13.1226

}

TY - JOUR

T1 - One-dimensional nuclear dynamics in the time-dependent Hartree-Fock approximation

AU - Bonche, P.

AU - Koonin, S.

AU - Negele, J. W.

PY - 1976

Y1 - 1976

N2 - The time-dependent Hartree-Fock theory is applied to the large amplitude dynamics of slabs of spin and isospin symmetric nuclear matter. The slabs are translationally invariant in two transverse dimensions, and with the simplified effective interaction used in this work, the problem is reduced to a set of coupled nonlinear equations for time-dependent functions of a single spatial variable. By specification of appropriate initial conditions, large amplitude oscillations of a single slab, the scattering of a slab from an external potential barrier, and collisions of two slabs have been investigated. The results evidence a wide variety of dynamic phenomena, including fusion, compound nucleus formation, dissipation, strongly damped collisions, shock wave propagation, and fragmentation. The microscopic aspects of the dynamics, the relation to fluid mechanics, and the practical and conceptual problems arising from the theory are discussed in detail. NUCLEAR STRUCTURE Time-dependent Hartree-Fock approximation applied to nuclear dynamics. Describes large amplitude collective motion, collisions, dissipation, shock propagation.

AB - The time-dependent Hartree-Fock theory is applied to the large amplitude dynamics of slabs of spin and isospin symmetric nuclear matter. The slabs are translationally invariant in two transverse dimensions, and with the simplified effective interaction used in this work, the problem is reduced to a set of coupled nonlinear equations for time-dependent functions of a single spatial variable. By specification of appropriate initial conditions, large amplitude oscillations of a single slab, the scattering of a slab from an external potential barrier, and collisions of two slabs have been investigated. The results evidence a wide variety of dynamic phenomena, including fusion, compound nucleus formation, dissipation, strongly damped collisions, shock wave propagation, and fragmentation. The microscopic aspects of the dynamics, the relation to fluid mechanics, and the practical and conceptual problems arising from the theory are discussed in detail. NUCLEAR STRUCTURE Time-dependent Hartree-Fock approximation applied to nuclear dynamics. Describes large amplitude collective motion, collisions, dissipation, shock propagation.

UR - http://www.scopus.com/inward/record.url?scp=0000019749&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0000019749&partnerID=8YFLogxK

U2 - 10.1103/PhysRevC.13.1226

DO - 10.1103/PhysRevC.13.1226

M3 - Article

AN - SCOPUS:0000019749

VL - 13

SP - 1226

EP - 1258

JO - Physical Review C - Nuclear Physics

JF - Physical Review C - Nuclear Physics

SN - 0556-2813

IS - 3

ER -