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Title: Nucleon-antinucleon interaction from the modified Skyrme model

Abstract

We calculate the static nucleon-antinucleon interaction potential from the modified Skyrme model with an additional B{sup {mu}}B{sub {mu}} term using the product ansatz. The static properties of the single baryon are improved in the modified Skyrme model. State mixing is taken into account by perturbation theory, which substantially increases the strength of the central attraction. We obtain a long- and mid-range potential which is in qualitative agreement with some phenomenological potentials.

Authors:
;  [1]
  1. Interdisciplinary Center for Theoretical Study, University of Science and Technology of China, Hefei, Anhui 230026 (China)
Publication Date:
OSTI Identifier:
20995113
Resource Type:
Journal Article
Resource Relation:
Journal Name: Physical Review. C, Nuclear Physics; Journal Volume: 75; Journal Issue: 3; Other Information: DOI: 10.1103/PhysRevC.75.034004; (c) 2007 The American Physical Society; Country of input: International Atomic Energy Agency (IAEA)
Country of Publication:
United States
Language:
English
Subject:
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; BARYONS; MIXING; NUCLEON-ANTINUCLEON INTERACTIONS; PERTURBATION THEORY; SKYRME POTENTIAL

Citation Formats

Ding Guijun, and Yan Mulin. Nucleon-antinucleon interaction from the modified Skyrme model. United States: N. p., 2007. Web. doi:10.1103/PHYSREVC.75.034004.
Ding Guijun, & Yan Mulin. Nucleon-antinucleon interaction from the modified Skyrme model. United States. doi:10.1103/PHYSREVC.75.034004.
Ding Guijun, and Yan Mulin. Thu . "Nucleon-antinucleon interaction from the modified Skyrme model". United States. doi:10.1103/PHYSREVC.75.034004.
@article{osti_20995113,
title = {Nucleon-antinucleon interaction from the modified Skyrme model},
author = {Ding Guijun and Yan Mulin},
abstractNote = {We calculate the static nucleon-antinucleon interaction potential from the modified Skyrme model with an additional B{sup {mu}}B{sub {mu}} term using the product ansatz. The static properties of the single baryon are improved in the modified Skyrme model. State mixing is taken into account by perturbation theory, which substantially increases the strength of the central attraction. We obtain a long- and mid-range potential which is in qualitative agreement with some phenomenological potentials.},
doi = {10.1103/PHYSREVC.75.034004},
journal = {Physical Review. C, Nuclear Physics},
number = 3,
volume = 75,
place = {United States},
year = {Thu Mar 15 00:00:00 EDT 2007},
month = {Thu Mar 15 00:00:00 EDT 2007}
}
  • We calculate the nucleon-antinucleon static potential in the Skyrme model using the product ansatz and including some finite {ital N}{sub {ital C}} (number of colors) corrections. The mid- and long-range part of the spin-spin and tensor force are mostly correctly given in both isospin channels while the central interaction has insufficient midrange attraction. This is a well-known problem of the product ansatz that should be repaired with better Skyrme dynamics. {copyright} {ital 1996 The American Physical Society.}
  • We present a Skyrme model with modified kinetic-energy terms. The baryon current of the model supports both fractional and integer baryon number solutions. Chiral symmetry breaking renders the fractional baryon number states absolutely confined. In the unbroken phase the solutions bear resemblance to the constitutent quarks of the nonrelativistic quark model. The model predicts correctly the nucleon and delta resonance masses using a value for the pion decay constant [ital F][sub [pi]] very close to experiment. The model yields an attractive central potential between nucleons.
  • We apply the strong {pi}NN form factor, which emerges from the Skyrme model, in the two-nucleon system using a one-boson-exchange (OBE) model for the nucleon-nucleon (NN) interaction. Deuteron properties and phase parameters of NN scattering are reproduced well. In contrast to the form factor of monopole shape that is traditionally used in OBE models, the Skyrme form factor leaves low-momentum transfers essentially unaffected while it suppresses the high-momentum region strongly. It turns out that this behavior is very appropriate for models of the NN interaction and makes it possible to use a soft pion form factor in the NN system.more » As a consequence, the {pi}N and the NN systems can be described using the same {pi}NN form factor, which is impossible with the monopole. {copyright} {ital 1997} {ital The American Physical Society}« less
  • In the framework of a coupled-channel approach we construct a separable potential model for the low- and medium-energy antinucleon-nucleon interaction. The elastic part is derived from the meson-exchange Paris potential and represented in an on-shell and off-shell equivalent separable form. In analogy to microscopic theories the annihilation interaction is also described by a separable potential but with phenomenological form factors. Coulomb corrections to the hadronic interaction are taken into account rigorously. We present results for total, elastic, and charge-exchange cross sections and compare them to existing experimental data at low and medium energies. A first application of the model tomore » the calculation of hadronic level shifts in antiprotonic hydrogen is reported.« less
  • The Variational Monte Carlo (VMC) method is employed to determine characteristics of symmetric and asymmetric nuclear matter. The realistic Urbana v14 nucleon-nucleon interaction potential of Lagaris and Pandharipande was used in the VMC calculations with addition of a phenomenological density-dependent term to simulate many-body interactions. A new Skyrme parameter set SKaan-U14 is found to consistently reproduce the characteristics of the nuclear matter obtained from VMC calculations. The properties of symmetric and asymmetric nuclear matter are calculated by the new Skyrme parameter set. The results obtained by using the new Skyrme parameter set are compared with results obtained by different Skyrmemore » parameter sets in the literature.« less