Removal of the center of mass in nuclei and its effects on 4He

Abstract

The singular value decomposition of rectangular matrices is shown to provide the recipe for removing the center of mass spurious admixtures from the multiphonon basis generated by an equation of motion method for solving the nuclear eigenvalue problem. It works for any single particle basis without any energy restriction on the selection of the configurations. Its effects on 4He are illustrated.

Keywords

• Singular value decomposition
• Center of mass
• Equation of motion phonon method
• 4He