Separation of a Slater determinant wave function with a neck structure into spatially localized subsystems

摘要

A method to separate a Slater determinant wave function with a two-centerneck structure into spatially localized subsystems is proposed, and itspotential applications are presented. An orthonormal set of spatially localizedsingle-particle wave functions is obtained by diagonalizing the coordinateoperator for the major axis of a necked system. Using the localizedsingle-particle wave functions, the wave function of each subsystem is defined.Therefore, defined subsystem wave functions are used to obtain densitydistributions, mass centers, and energies of subsystems. The present method isapplied to separations of Margenau--Brink cluster wave functions of $\alpha +\alpha$, $^{16}$O + $^{16}$O, and $\alpha + ^{16}$O into their subsystems, andalso to separations of antisymmetrized molecular dynamics wave functions of$^{10}$Be into $\alpha$ + $^6$He subsystems. The method is simple andapplicable to the separation of general Slater determinant wave functions thathave neck structures into subsystem wave functions.