Solution of the Center-Of-Mass Problem in Nuclear Structure Calculations

2009/05/19 by G. Hagen, T. Papenbrock, D. J. Dean · 4 citations
Chemistry · Mathematics · Physics and Astronomy · #Advanced NMR Techniques and Applications #Basis (linear algebra) #Center (category theory) #Center of mass (relativistic) #Chemistry #Cluster (spacecraft) #Computer science #Function (biology) #Gaussian #Gaussian function #Geometry #Mathematics #Nuclear physics research studies #Physics #Product (mathematics) #Quantum Chromodynamics and Particle Interactions #Quantum mechanics #Simple (philosophy) #Statistical physics #Wave function #nucl-th

paper · pdf · doi:10.1103/physrevlett.103.062503

published as Phys.Rev.Lett.103:062503,2009 · 4+eps pages, 5 figures

arxiv created 2009/05/19 · openalex publication_date 2009/08/06 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

Abstract

The coupled-cluster wave function factorizes to a very good approximation into a product of an intrinsic wave function and a Gaussian for the center-of-mass coordinate. The width of the Gaussian is in general not identical to the oscillator length of the underlying single-particle basis. The quality of the separation can be verified by a simple procedure.

Citations

• Role of the Final-State Interaction and Three-Body Force on the Longitudinal Response Function ofHe<mml:mprescripts/><mml:none/>4
• The shell model as a unified view of nuclear structure
• Lattice simulations for few- and many-body systems

Cited by

• Spectroscopic properties of 4He within a multiphonon approach
• Natural orbitals for many-body expansion methods
• Ab initiocoupled-cluster approach to nuclear structure with modern nucleon-nucleon interactions
• Ab initiono-core Gamow shell model calculations with realistic interactions
• Center-of-mass problem in truncated configuration interaction and coupled-cluster calculations