The wall formula for nuclear dissipation as a special limit of RPA damping
198517 pages
Published in:
- Nucl.Phys.A 439 (1985) 336-352
- Published: 1985
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Abstract: (Elsevier)
Within the quantal RPA description of the dissipation of nuclear collective motion, a specific set of restrictive assumptions is shown to reduce the RPA result precisely to that given by the wall formula. Each of these assumptions bears interpretation of a physical feature explicitly or implicitly assumed in the classical wall model. In particular, particle collisions with the idealized rigid wall cannot lead to 2p2h excited states, whereas collisions with the collective phonons in an extended RPA treatment can. Thus an important contribution (substantial in the case of actual nuclei of finite size) to the dissipation coefficient is inevitably omitted from the wall formula. The RPA 1p1h energy dissipation rate reduces to that given by the wall formula only in the limit when the nuclear volume tends to infinity. Due to the properties of this infinite spatial nuclear volume, the wall formula largely overestimates the one-body dissipation, and thus tends to correct by accident for the omission of the 2p2h dissipation.References(29)
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