Quantum theory of dissipation for nuclear collective motion

Arthur K. Kerman, Steven E. Koonin

Research output: Contribution to journalArticle

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 languageEnglish (US)
Pages (from-to)118-121
Number of pages4
JournalPhysica Scripta
Volume10
DOIs
StatePublished - Jan 1 1974

Fingerprint

Collective Motion
Quantum Theory
quantum theory
Dissipation
dissipation
Schroedinger equation
Excitation
Potential Energy Surface
excitation
fission
energy
heavy ions
Energy Dissipation
generators
energy dissipation
Energy
potential energy
fragments
wave functions
Wave Function

ASJC Scopus subject areas

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

Cite this

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

In: Physica Scripta, Vol. 10, 01.01.1974, p. 118-121.

Research output: Contribution to journalArticle

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