Sum rules in nuclear fluid dynamics

Abstract

The author studies a fluid dynamical model, based on the classical limit of the quantal action principle, having as its variational wavefunction the Slater determinant mod Phi )=exp((i/h(cross))( chi +s.p+1/2palpha pbeta phi alpha beta )) mod Phi f) where mod Phi f) includes local equilibrium distortions and chi (x,t), s(x,t) and phi alpha beta (x,t) are variational fields. It is shown that this model satisfies classical sum rules S1, S3 and S-1, for electric modes, which are analogous to the corresponding quantal results. For magnetic modes it is also shown that the sum S1 agrees with the quantal result and a closed expression is found for the sum S3.