One-body dissipation and nuclear dynamics

Journal Article · Sat Mar 01 04:00:00 EST 1980 · Ann. Phys. (N.Y.); (United States)

DOI:https://doi.org/10.1016/0003-4916(80)90124-4· OSTI ID:5446478

Randrup, J; Swiatecki, W J

We discuss recent developments in the ''one-body'' dissipation theory described in Blocki et al. (Ann. Phys. (N.Y.) 113 (1978), 330). The principal new result is the derivation of the functional form of the dissipation expression (the Rayleigh Dissipation Function) for a finite idealized nucleus with a diffuse surface, in the form of an expression in powers of the dimensionless ratio of the surface diffuseness to the size, R, of the system. The leading term in such an expansion is a surface contribution, of relative order R/sup 2/, in the form of the ''Wall Formula'' of Blocki et al. The nest is a curvature correction of order R. At the next level (R/sup 0/) there are two higher order curvature corrections and a correction for the presence of gradients in the normal velocity field specifying the motion of the surface. For simple models of the nuclear surface profile we work out analytically the coefficients in the curvature and velocity-gradient correction terms. We compare the one-body dissipation theory formulated in this way with recent linear-response and Time-Dependent Hartree-Fock treatments of the nuclear problem. The principal theme that emerges from this study is the close analogy between the problem of the nuclear macroscopic dissipation function and the problem of the nuclear macroscopic potential energy.

• Research Organization: NORDITA, Blegdamvej 17, DK-2100 Copenhagen O, Denmark
• DOE Contract Number: W-7405-ENG-48
• OSTI ID: 5446478
• Journal Information: Ann. Phys. (N.Y.); (United States), Journal Name: Ann. Phys. (N.Y.); (United States) Vol. 125:1; ISSN APNYA
• Country of Publication: United States
• Language: English

Related Subjects

653007* -- Nuclear Theory-- Nuclear Models-- (-1987)
73 NUCLEAR PHYSICS AND RADIATION PHYSICS
CORRECTIONS
DISSIPATION FACTOR
HARTREE-FOCK METHOD
MATHEMATICAL MODELS
NUCLEAR MODELS
NUCLEAR POTENTIAL
POTENTIALS
SERIES EXPANSION