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Title: Low-momentum nucleon-nucleon interactions and shell-model calculations

Abstract

In the last few years, the low-momentum nucleon-nucleon (NN) interaction V{sub low-k} derived from free-space NN potentials has been successfully used in shell-model calculations. V{sub low-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 {lambda}. 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{sup -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.

Authors:
; ; ;  [1];  [2];  [3];  [4]
  1. Dipartimento di Scienze Fisiche, Universita di Napoli Federico II, and Istituto Nazionale di Fisica Nucleare, Complesso Universitario di Monte S. Angelo, Via Cintia-I-80126 Napoli (Italy)
  2. Grupo de Fisica Nuclear, IUFFyM, Universidad de Salamanca, E-37008 Salamanca (Spain)
  3. Department of Physics, SUNY, Stony Brook, New York 11794 (United States)
  4. Department of Physics, University of Idaho, Moscow, Idaho 83844 (United States)
Publication Date:
OSTI Identifier:
20991012
Resource Type:
Journal Article
Resource Relation:
Journal Name: Physical Review. C, Nuclear Physics; Journal Volume: 75; Journal Issue: 2; Other Information: DOI: 10.1103/PhysRevC.75.024311; (c) 2007 The American Physical Society; Country of input: International Atomic Energy Agency (IAEA)
Country of Publication:
United States
Language:
English
Subject:
73 NUCLEAR PHYSICS AND RADIATION PHYSICS; BINDING ENERGY; CHIRALITY; DEUTERONS; HAMILTONIANS; NUCLEON-NUCLEON INTERACTIONS; NUCLEON-NUCLEON POTENTIAL; NUCLEONS; OXYGEN ISOTOPES; PERTURBATION THEORY; S MATRIX; SHELL MODELS

Citation Formats

Coraggio, L., Covello, A., Gargano, A., Itaco, N., Entem, D. R., Kuo, T. T. S., and Machleidt, R.. Low-momentum nucleon-nucleon interactions and shell-model calculations. United States: N. p., 2007. Web. doi:10.1103/PHYSREVC.75.024311.
Coraggio, L., Covello, A., Gargano, A., Itaco, N., Entem, D. R., Kuo, T. T. S., & Machleidt, R.. Low-momentum nucleon-nucleon interactions and shell-model calculations. United States. doi:10.1103/PHYSREVC.75.024311.
Coraggio, L., Covello, A., Gargano, A., Itaco, N., Entem, D. R., Kuo, T. T. S., and Machleidt, R.. Thu . "Low-momentum nucleon-nucleon interactions and shell-model calculations". United States. doi:10.1103/PHYSREVC.75.024311.
@article{osti_20991012,
title = {Low-momentum nucleon-nucleon interactions and shell-model calculations},
author = {Coraggio, L. and Covello, A. and Gargano, A. and Itaco, N. and Entem, D. R. and Kuo, T. T. S. and Machleidt, R.},
abstractNote = {In the last few years, the low-momentum nucleon-nucleon (NN) interaction V{sub low-k} derived from free-space NN potentials has been successfully used in shell-model calculations. V{sub low-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 {lambda}. 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{sup -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.},
doi = {10.1103/PHYSREVC.75.024311},
journal = {Physical Review. C, Nuclear Physics},
number = 2,
volume = 75,
place = {United States},
year = {Thu Feb 15 00:00:00 EST 2007},
month = {Thu Feb 15 00:00:00 EST 2007}
}