A microscopic study of the giant dipole resonance γ-absorption cross section in hot rotating nuclei

An attempt has been made to study the γ-absorption cross section for the giant dipole resonances (GDR) in hot rotating nuclei in the framework of linear response theory along with a microscopic approach to incorporate corrections due to thermal fluctuations of the nuclear quadrupole shapes. The latter approach is based on the static path approximation to the grand canonical partition function. In the present illustrative application, we have employed a deformed harmonic oscillator Hamiltonian. The calculations have been done for a fictitious nucleus with the magic numbers of the oscillator N = Z = 70. We find that the width of the GDR cross section increases with increasing temperature and angular momentum. The results are compared with those obtained by the Landau prescription and it is found that the latter overestimates the effect of thermal fluctuations somewhat.