### Abstract

We present a theory of energy dissipation in heavy ion and fission process. Beginning with the time-independent coupled channels generator coordinate equations, a statistical treatment leads toa quantal equation in the collective coordinates and excitation energy. Assumptions of adiabaticity lead to a momentum coupled Schroedinger-like equation for the statistical wave-function. This equationdescribes, in a statistical manner, quantum mechanical collective motion, including dissipation. Therefore, average inelastic cross sections or fragment excitation energies may be obtained. Of course, phenomenologically known functions such as the nuclear mass parameter or potential energy surface can be simply utilized. The new dissipation function (like all the others) is determined by averages of microscopically calculable quantities. Numerical result for a model calculation exhibiting the structure of the equation are presented.

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

Pages (from-to) | 118-121 |

Number of pages | 4 |

Journal | Physica Scripta |

Volume | 10 |

DOIs | |

State | Published - Jan 1 1974 |

### Fingerprint

### ASJC Scopus subject areas

- Condensed Matter Physics
- Mathematical Physics
- Atomic and Molecular Physics, and Optics

### Cite this

*Physica Scripta*,

*10*, 118-121. https://doi.org/10.1088/0031-8949/10/A/020

**Quantum theory of dissipation for nuclear collective motion.** / Kerman, Arthur K.; Koonin, Steven E.

Research output: Contribution to journal › Article

*Physica Scripta*, vol. 10, pp. 118-121. https://doi.org/10.1088/0031-8949/10/A/020

}

TY - JOUR

T1 - Quantum theory of dissipation for nuclear collective motion

AU - Kerman, Arthur K.

AU - Koonin, Steven E.

PY - 1974/1/1

Y1 - 1974/1/1

N2 - We present a theory of energy dissipation in heavy ion and fission process. Beginning with the time-independent coupled channels generator coordinate equations, a statistical treatment leads toa quantal equation in the collective coordinates and excitation energy. Assumptions of adiabaticity lead to a momentum coupled Schroedinger-like equation for the statistical wave-function. This equationdescribes, in a statistical manner, quantum mechanical collective motion, including dissipation. Therefore, average inelastic cross sections or fragment excitation energies may be obtained. Of course, phenomenologically known functions such as the nuclear mass parameter or potential energy surface can be simply utilized. The new dissipation function (like all the others) is determined by averages of microscopically calculable quantities. Numerical result for a model calculation exhibiting the structure of the equation are presented.

AB - We present a theory of energy dissipation in heavy ion and fission process. Beginning with the time-independent coupled channels generator coordinate equations, a statistical treatment leads toa quantal equation in the collective coordinates and excitation energy. Assumptions of adiabaticity lead to a momentum coupled Schroedinger-like equation for the statistical wave-function. This equationdescribes, in a statistical manner, quantum mechanical collective motion, including dissipation. Therefore, average inelastic cross sections or fragment excitation energies may be obtained. Of course, phenomenologically known functions such as the nuclear mass parameter or potential energy surface can be simply utilized. The new dissipation function (like all the others) is determined by averages of microscopically calculable quantities. Numerical result for a model calculation exhibiting the structure of the equation are presented.

UR - http://www.scopus.com/inward/record.url?scp=84911823617&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=84911823617&partnerID=8YFLogxK

U2 - 10.1088/0031-8949/10/A/020

DO - 10.1088/0031-8949/10/A/020

M3 - Article

AN - SCOPUS:84911823617

VL - 10

SP - 118

EP - 121

JO - Physica Scripta

JF - Physica Scripta

SN - 0031-8949

ER -