Shape of eigenvalue distribution for bosons in scalar space

Abstract

Analytic expressions for obtaining first four moments of noninteracting as well as interacting bosons have been given in terms of matrix elements. These expressions have been utilized to obtain general conditions under which the eigenvalue distributions for bosons tend towards the Gaussian distribution. Results for pairing and $Q\ifmmode\cdot\else\textperiodcentered\fi{}Q$ operators in an $s\ensuremath{-}d$ boson shell have also been given.NUCLEAR STRUCTURE Analytic expressions, first four moments, noninteracting and interacting bosons, eigenvalue distribution, conditions leading to Gaussian distribution, pairing and $Q\ensuremath{-}Q$ operators, $s\ensuremath{-}d$ boson space.