skip to main content
OSTI.GOV title logo U.S. Department of Energy
Office of Scientific and Technical Information

Title: Feshbach resonances and the unitary limit in a model of strongly correlated nucleons

Abstract

A model of strongly interacting and correlated hadrons is developed. The interaction used contains a long-range attraction and short-range repulsive hard core. Using this interaction and various limiting situations of it, a study of the effect of bound states and Feshbach resonances is given. The limiting situations are a pure square-well interaction, a delta-shell potential, and a pure hard-core potential. The limit of a pure hard-core potential are compared with the corresponding well-known results for a spinless Bose and Fermi gas. The limit of many partial waves for a pure hard-core interaction is also considered and results in expressions involving the hard-core volume. This feature arises from a scaling relation similar to that for hard-sphere scattering with diffractive corrections. Features that parallel the van der Waals gas and results based on a Skyrme interaction are discussed. Thermodynamic features associated with a unitary limit of very large scattering length are given. The ratio of effective range r{sub 0} to thermal wavelength lambda{sub T} appears as a limiting scale in various thermodynamic properties. The effective-range corrections to the entropy vary as the cube of this ratio for low temperatures and are therefore considerably reduced compared to the corrections to the interaction energy,more » Helmholtz free energy, compressibility, and chemical potential, which vary linearly with this ratio.« less

Authors:
 [1]
  1. Department of Physics and Astronomy, Rutgers University, Piscataway, New Jersey 08854 (United States)
Publication Date:
OSTI Identifier:
21389206
Resource Type:
Journal Article
Journal Name:
Physical Review. C, Nuclear Physics
Additional Journal Information:
Journal Volume: 82; Journal Issue: 1; Other Information: DOI: 10.1103/PhysRevC.82.014613; (c) 2010 The American Physical Society; Journal ID: ISSN 0556-2813
Country of Publication:
United States
Language:
English
Subject:
73 NUCLEAR PHYSICS AND RADIATION PHYSICS; BOUND STATE; COMPRESSIBILITY; ENTROPY; FERMI GAS; FREE ENERGY; HARD-CORE POTENTIAL; INTERACTIONS; NUCLEONS; PARTIAL WAVES; RESONANCE; SCALING; SCATTERING; SCATTERING LENGTHS; SKYRME POTENTIAL; STRONG INTERACTIONS; VAN DER WAALS FORCES; WAVELENGTHS; BARYONS; BASIC INTERACTIONS; DIMENSIONS; ELEMENTARY PARTICLES; ENERGY; FERMIONS; HADRONS; LENGTH; MECHANICAL PROPERTIES; NUCLEAR POTENTIAL; NUCLEON-NUCLEON POTENTIAL; PHYSICAL PROPERTIES; POTENTIALS; THERMODYNAMIC PROPERTIES

Citation Formats

Mekjian, A Z. Feshbach resonances and the unitary limit in a model of strongly correlated nucleons. United States: N. p., 2010. Web. doi:10.1103/PHYSREVC.82.014613.
Mekjian, A Z. Feshbach resonances and the unitary limit in a model of strongly correlated nucleons. United States. https://doi.org/10.1103/PHYSREVC.82.014613
Mekjian, A Z. Thu . "Feshbach resonances and the unitary limit in a model of strongly correlated nucleons". United States. https://doi.org/10.1103/PHYSREVC.82.014613.
@article{osti_21389206,
title = {Feshbach resonances and the unitary limit in a model of strongly correlated nucleons},
author = {Mekjian, A Z},
abstractNote = {A model of strongly interacting and correlated hadrons is developed. The interaction used contains a long-range attraction and short-range repulsive hard core. Using this interaction and various limiting situations of it, a study of the effect of bound states and Feshbach resonances is given. The limiting situations are a pure square-well interaction, a delta-shell potential, and a pure hard-core potential. The limit of a pure hard-core potential are compared with the corresponding well-known results for a spinless Bose and Fermi gas. The limit of many partial waves for a pure hard-core interaction is also considered and results in expressions involving the hard-core volume. This feature arises from a scaling relation similar to that for hard-sphere scattering with diffractive corrections. Features that parallel the van der Waals gas and results based on a Skyrme interaction are discussed. Thermodynamic features associated with a unitary limit of very large scattering length are given. The ratio of effective range r{sub 0} to thermal wavelength lambda{sub T} appears as a limiting scale in various thermodynamic properties. The effective-range corrections to the entropy vary as the cube of this ratio for low temperatures and are therefore considerably reduced compared to the corrections to the interaction energy, Helmholtz free energy, compressibility, and chemical potential, which vary linearly with this ratio.},
doi = {10.1103/PHYSREVC.82.014613},
url = {https://www.osti.gov/biblio/21389206}, journal = {Physical Review. C, Nuclear Physics},
issn = {0556-2813},
number = 1,
volume = 82,
place = {United States},
year = {2010},
month = {7}
}