2007/01/23 by L. Coraggio, A. Covello, A. Gargano +5
Physics and Astronomy · #Atomic and Molecular Physics #Cutoff #Few-body systems #Momentum (technical analysis) #Nuclear physics #Nuclear physics research studies #Nucleon #Particle physics #Perturbation theory (quantum mechanics) #Physics #Position and momentum space #Quantum Chromodynamics and Particle Interactions #Quantum electrodynamics #Quantum mechanics #nucl-th
paper · pdf · doi:10.1103/physrevc.75.024311
published as Phys.Rev.C75:024311,2007 · 8 pages, 8 figures, to be published in Physical Review C
arxiv created 2007/01/23 · openalex publication_date 2007/02/27 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
In the last few years, the low-momentum nucleon-nucleon (NN) interaction V_low\text\ensuremath-k derived from free-space NN potentials has been successfully used in shell-model calculations. V_low\text\ensuremath-k is a smooth potential which preserves the deuteron binding energy as well as the half-on-shell T matrix of the original NN potential up to a momentum cutoff \ensuremathΛ. In this paper, we test a new low-momentum NN potential derived from chiral perturbation theory at next-to-next-to-next-to-leading order with a sharp low-momentum cutoff at 2.1 fm^\ensuremath-1. Shell-model calculations for the oxygen isotopes using effective Hamiltonians derived from both types of low-momentum potential are performed. We find that the two potentials show the same perturbative behavior and yield very similar results.