Effects of angular momentum projection on the nuclear partition function and the observation of the giantdipole resonance in hot nuclei
Abstract
Procedures for projecting the angular momentum in a model describing a hot nucleus that takes into account largeamplitude quadrupole fluctuations are discussed. Particular attention is paid to the effect angular momentum projection has on the observables associated with the γdecay of the giantdipole resonance (GDR). We also elaborate on which of the different projection methods provides the best overall description of the GDR, including angular distributions. The main consequence of angular momentum projection is the appearance of an effective volume element in the integrals associated with the thermal average of the physical observables. This effective volume element is controlled by the value of the moments of inertia of the system. In the limit of rigidbody moments of inertia, the effective volume element is found to differ only slightly from the volume element associated with the normalization of the fivedimensional quadrupole oscillator wavefunction in the β, γ, and Ω space, namely D[α] = β ^{4} dβ sin(3γ) dγdΩ . In the limit of irrotational flow moments of inertia, the leading behavior in the β degree of freedom is D[ α] ∝ βdβ.
 Publication:

Nuclear Physics A
 Pub Date:
 February 1997
 DOI:
 10.1016/S03759474(97)000274
 arXiv:
 arXiv:nuclth/9701001
 Bibcode:
 1997NuPhA.618...20O
 Keywords:

 Nuclear Theory
 EPrint:
 20 pages, 6 postscript figures, uses revtex