Removal of the center of mass in nuclei and its effects on 4He
G. De Gregorio, F. Knapp, N. Lo Iudice, P. Veselý
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.
Topics & Concepts
PhysicsBasis (linear algebra)Eigenvalues and eigenvectorsSpurious relationshipCenter (category theory)Center of mass (relativistic)Singular value decompositionSelection (genetic algorithm)DecompositionParticle (ecology)Nuclear physicsClassical mechanicsQuantum mechanicsGeometryAlgorithmStatisticsEnergy–momentum relationEcologyOceanographyBiologyChemistryGeologyArtificial intelligenceComputer scienceMathematicsCrystallographyNuclear physics research studiesQuantum Chromodynamics and Particle InteractionsParticle physics theoretical and experimental studies