Static path approximation for the nuclear partition function

Spectroscopy of discrete energy levels in ultrasmall metallic grains

“…approaches above is a direct consequence of the neglect of such fluctuations. A rather successful way of including fluctuations is the so-called static path approximation (SPA), pioneered by Mühlschlegel, Scalapino and Denton [94] and developed by various nuclear theorists [127][128][129][130][131][132][133][134][135][136][137][138][139][140][141][142][143], while recently an exact parity projection has also been incorporated [29][30][31][32]. A detailed and general discussion, including a complete list of relevant references, was given very recently by Rossignoli, Canosa and Ring [30].…”

“…To obtain an improved description of the latter (Fig. 25, dashdotted lines), the static path approximation (SPA) [94,[127][128][129][130][131][132][133] incorporates all static fluctuations exactly, via a (numerical) evaluation of the full integral ∞ 0 |∆ 0 | d|∆ 0 | 2π 0 dφ 0 over all "static paths".…”

Shell Model the Monte Carlo Way

“…(22) using just one time slice. This approximation is reasonable for high temperatures, and is referred to as the static-path approximation (SPA) and has been used in nuclear physics for the pairing plus quadrupole-quadrupole interaction [39]. A correction to the static-path approximation is to again expand the exponent of the weight function upto second order about the static path, i.e.…”

Gaussian polynomial method for spin-dependent level density and new formula for spin distribution

“…A particularly interesting recent development in the framework of thermodynamic approach is the method introduced by Bertsch et al [13][14][15], which employes the static path approximation to evaluate the partition function. In this description, the effects of both the singleparticle and collective degrees of freedom are taken into account in a unified manner.…”