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Title: Tensor Forces and the Ground-State Structure of Nuclei

Abstract

Two-nucleon momentum distributions are calculated for the ground states of nuclei with mass number A {le} 8, using accurate variational Monte Carlo wave functions derived from a realistic Hamiltonian with two- and three-nucleon potentials. The momentum distribution of 'np' pairs is found to be much larger than that of 'pp' pairs for values of the relative momentum in the range (300--600) MeV/c and vanishing total momentum. This large difference, more than an order of magnitude, is seen in all nuclei considered, and has a universal character originating from the tensor components present in any realistic nucleon-nucleon potential. The correlations induced by the tensor force strongly influence the structure of 'np' pairs, which are known to be predominantly in deuteron-like states, while they are ineffective for 'pp' pairs, which are mostly in {sup 1}S{sub 0} states. These features should be easily observable in two-nucleon knock-out processes, for example in A(e,e{prime} np) and A(e,e{prime} pp) reactions.

Authors:
Publication Date:
Research Org.:
Thomas Jefferson National Accelerator Facility, Newport News, VA
Sponsoring Org.:
USDOE - Office of Energy Research (ER)
OSTI Identifier:
894644
Report Number(s):
JLAB-THY-06-562; DOE/ER/40150-4105
TRN: US0700189
DOE Contract Number:
AC05-06OR23177
Resource Type:
Journal Article
Resource Relation:
Journal Name: Phys.Rev.Lett.; Journal Volume: 98
Country of Publication:
United States
Language:
English
Subject:
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; DISTRIBUTION; GROUND STATES; HAMILTONIANS; MASS NUMBER; NUCLEI; NUCLEON-NUCLEON POTENTIAL; TENSOR FORCES; WAVE FUNCTIONS

Citation Formats

Rocco Schiavilla. Tensor Forces and the Ground-State Structure of Nuclei. United States: N. p., 2007. Web. doi:10.1103/PhysRevLett.98.132501.
Rocco Schiavilla. Tensor Forces and the Ground-State Structure of Nuclei. United States. doi:10.1103/PhysRevLett.98.132501.
Rocco Schiavilla. Thu . "Tensor Forces and the Ground-State Structure of Nuclei". United States. doi:10.1103/PhysRevLett.98.132501. https://www.osti.gov/servlets/purl/894644.
@article{osti_894644,
title = {Tensor Forces and the Ground-State Structure of Nuclei},
author = {Rocco Schiavilla},
abstractNote = {Two-nucleon momentum distributions are calculated for the ground states of nuclei with mass number A {le} 8, using accurate variational Monte Carlo wave functions derived from a realistic Hamiltonian with two- and three-nucleon potentials. The momentum distribution of 'np' pairs is found to be much larger than that of 'pp' pairs for values of the relative momentum in the range (300--600) MeV/c and vanishing total momentum. This large difference, more than an order of magnitude, is seen in all nuclei considered, and has a universal character originating from the tensor components present in any realistic nucleon-nucleon potential. The correlations induced by the tensor force strongly influence the structure of 'np' pairs, which are known to be predominantly in deuteron-like states, while they are ineffective for 'pp' pairs, which are mostly in {sup 1}S{sub 0} states. These features should be easily observable in two-nucleon knock-out processes, for example in A(e,e{prime} np) and A(e,e{prime} pp) reactions.},
doi = {10.1103/PhysRevLett.98.132501},
journal = {Phys.Rev.Lett.},
number = ,
volume = 98,
place = {United States},
year = {Thu Mar 01 00:00:00 EST 2007},
month = {Thu Mar 01 00:00:00 EST 2007}
}
  • No abstract prepared.
  • Two-nucleon momentum distributions are calculated for the ground states of nuclei with mass number A{<=}8, using variational Monte Carlo wave functions derived from a realistic Hamiltonian with two- and three-nucleon potentials. The momentum distribution of np pairs is found to be much larger than that of pp pairs for values of the relative momentum in the range (300-600) MeV/c and vanishing total momentum. This order of magnitude difference is seen in all nuclei considered and has a universal character originating from the tensor components present in any realistic nucleon-nucleon potential. The correlations induced by the tensor force strongly influence themore » structure of np pairs, which are predominantly in deuteronlike states, while they are ineffective for pp pairs, which are mostly in {sup 1}S{sub 0} states. These features should be easily observable in two-nucleon knockout processes, such as A(e,e{sup '}np) and A(e,e{sup '}pp)« less
  • The OPE model is employed to discuss the N--N potential in Deuterium, Helium 3, and Helium 4. (AIP)
  • The two preeminent features of the nucleon-nucleon interaction are its short-range repulsion and intermediate- to long-range tensor character. In the present talk, I review how these features influence two-nucleon densities in configuration and momentum space. The predicted large differences between the np and pp momentum distributions have been confirmed in {sup 12}C(e,e' np) and {sup 12}C(e, e' pp) experiments at Jefferson Lab.
  • The rms radius and the binding energy of oxygen-16 are calculated for several different internucleon potentials. These potentials all fit the low- energy data for two nucleons, they have hard cores of differing radii, and they include the Gammel-Thaler potential (core radius 0.4 fermi). The calculated rms radii range from 1.5 f for a potential with core radius 0.2 f to 2.0 f for a core radius 0.6 f. The value obtained from electron scattering experiments is 2.65 f. The calculated binding energies range from 256 Mev for a core radius 0.2 f to 118 Mev for core 0.5 f.more » The experimental value of binding energy is 127.3 Mev. The 25% discrepancy in the calculated rms radius may be due to the limitations of harmonic oscillator wave functions used in the unperturbed system. (auth)« less