Semiclassical description of finite fermion systems at finite temperature in a generalised Routhian approach

K. Bencheikh , J. Bartel (1) , P. Quentin (2)

1 IReS - Institut de Recherches Subatomiques
2 CENBG - Centre d'Etudes Nucléaires de Bordeaux Gradignan

A semiclassical description at finite temperature is presented for an N fermion system experiencing velocity fields coupling to the linear momentum of each of the particles. Spin degrees of freedom are also considered. Analytical expressions are derived for various local and integrated physical quantities in the framework of the Extended Thomas–Fermi method. Low and high-temperature limits are carefully examined. This formalism is then applied to the particular case of hot rotating nuclei.

Mots clés: Finite fermion systems; Semiclassical methods; Grand canonical approach; Collective rotations; Moments of inertia

Domaines: Physique Nucléaire Théorique [nucl-th]

K. Bencheikh, J. Bartel, P. Quentin. Semiclassical description of finite fermion systems at finite temperature in a generalised Routhian approach. Nuclear Physics A, 2006, 764, pp.79-108. ⟨10.1016/j.nuclphysa.2005.08.018⟩. ⟨in2p3-00025422⟩