2006/12/31 by L. Coraggio, A. Covello, A. Gargano +3 · 7 citations
Mathematics · Physics and Astronomy · #Advanced Chemical Physics Studies #Algorithm #Atomic and Molecular Physics #Cutoff #Energy (signal processing) #Ground state #Harmonic oscillator #Mathematical physics #Mathematics #Momentum (technical analysis) #Nuclear physics research studies #Nucleon #Particle physics #Physics #Position and momentum space #Quantum mechanics #nucl-th
paper · pdf · doi:10.1103/physrevc.75.057303
published in Physical Review C 75(5) (American Institute of Physics) · 4 pages, 1 figure, 1 table, to be published in Physical Review C
arxiv created 2007/04/23 · openalex publication_date 2007/05/14 · arxiv updated 2009/12/01 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05
We have calculated the ground-state energy of the doubly-magic nucleus 40Ca within the framework of the Goldstone expansion using the CD-Bonn nucleon-nucleon potential. The short-range repulsion of this potential has been renormalized by integrating out its high-momentum components so as to derive a low-momentum potential V_low\ensuremath-k defined up to a cutoff momentum \ensuremathΛ. A simple criterion has been employed to establish a connection between this cutoff momentum and the size of the two-nucleon model space in the harmonic oscillator basis. This model-space truncation approach provides a reliable way to renormalize the free nucleon-nucleon potential preserving its many-body physics. The role of the 3p\text\ensuremath-3h and 4p\text\ensuremath-4h excitations in the description of the ground state of 40Ca is discussed.