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

Title: Isospin dependent kaon and antikaon optical potentials in dense hadronic matter

Abstract

Isospin effects on the optical potentials of kaons and antikaons in dense hadronic matter are investigated using a chiral SU(3) model. These effects are important for asymmetric heavy-ion collision experiments. In the present work, the dispersion relations are derived for kaons and antikaons, compatible with the low-energy scattering data, within our model approach. The relations result from the kaonic interactions with the nucleons, vector mesons, and scalar mesons in the asymmetric nuclear matter. The isospin asymmetry effects arising from the interactions with the vector-isovector {rho} meson as well as the scalar-isovector {delta} mesons are considered. The density dependence of the isospin asymmetry is seen to be appreciable for the kaon and antikaon optical potentials. This dependence can be particularly relevant to the future Facility for Antiproton and Ion Research (FAIR) at GSI, where experiments using neutron-rich beams are planned to be used in the study of compressed baryonic matter.

Authors:
;  [1];  [2]
  1. Department of Physics, Indian Institute of Technology, Delhi, New Delhi 110 016 (India)
  2. (Germany)
Publication Date:
OSTI Identifier:
20864226
Resource Type:
Journal Article
Resource Relation:
Journal Name: Physical Review. C, Nuclear Physics; Journal Volume: 74; Journal Issue: 6; Other Information: DOI: 10.1103/PhysRevC.74.064904; (c) 2006 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; ANTIKAONS; ANTIPROTONS; ASYMMETRY; CHIRALITY; DENSITY; DISPERSION RELATIONS; HEAVY ION REACTIONS; ISOSPIN; ISOVECTORS; NEUTRONS; NUCLEAR MATTER; PARTICLE INTERACTIONS; POTENTIALS; RHO-770 MESONS; SCALAR MESONS; SCATTERING; SU-3 GROUPS

Citation Formats

Mishra, Amruta, Schramm, Stefan, and Institut fuer Theoretische Physik, J.W. Goethe Universitaet, Max-von-Laue-Str. 1, D-60438 Frankfurt. Isospin dependent kaon and antikaon optical potentials in dense hadronic matter. United States: N. p., 2006. Web. doi:10.1103/PHYSREVC.74.064904.
Mishra, Amruta, Schramm, Stefan, & Institut fuer Theoretische Physik, J.W. Goethe Universitaet, Max-von-Laue-Str. 1, D-60438 Frankfurt. Isospin dependent kaon and antikaon optical potentials in dense hadronic matter. United States. doi:10.1103/PHYSREVC.74.064904.
Mishra, Amruta, Schramm, Stefan, and Institut fuer Theoretische Physik, J.W. Goethe Universitaet, Max-von-Laue-Str. 1, D-60438 Frankfurt. Fri . "Isospin dependent kaon and antikaon optical potentials in dense hadronic matter". United States. doi:10.1103/PHYSREVC.74.064904.
@article{osti_20864226,
title = {Isospin dependent kaon and antikaon optical potentials in dense hadronic matter},
author = {Mishra, Amruta and Schramm, Stefan and Institut fuer Theoretische Physik, J.W. Goethe Universitaet, Max-von-Laue-Str. 1, D-60438 Frankfurt},
abstractNote = {Isospin effects on the optical potentials of kaons and antikaons in dense hadronic matter are investigated using a chiral SU(3) model. These effects are important for asymmetric heavy-ion collision experiments. In the present work, the dispersion relations are derived for kaons and antikaons, compatible with the low-energy scattering data, within our model approach. The relations result from the kaonic interactions with the nucleons, vector mesons, and scalar mesons in the asymmetric nuclear matter. The isospin asymmetry effects arising from the interactions with the vector-isovector {rho} meson as well as the scalar-isovector {delta} mesons are considered. The density dependence of the isospin asymmetry is seen to be appreciable for the kaon and antikaon optical potentials. This dependence can be particularly relevant to the future Facility for Antiproton and Ion Research (FAIR) at GSI, where experiments using neutron-rich beams are planned to be used in the study of compressed baryonic matter.},
doi = {10.1103/PHYSREVC.74.064904},
journal = {Physical Review. C, Nuclear Physics},
number = 6,
volume = 74,
place = {United States},
year = {Fri Dec 15 00:00:00 EST 2006},
month = {Fri Dec 15 00:00:00 EST 2006}
}
  • The relativistic microscopic optical potential (RMOP) is studied within the framework of the Dirac-Brueckner-Hartree-Fock (DBHF) approach. A new decomposition of the Dirac structure of nuclear self-energy in the DBHF is extended to asymmetric nuclear matter calculations. A nucleon effective interaction is introduced to reproduce the results of the G matrix. The real part of nucleon self-energy in asymmetric nuclear matter is calculated with the G matrix in the Hartree-Fock approach, while the imaginary part is obtained from the polarization diagram. Nuclear optical potentials in finite nuclei are derived from the self-energies in asymmetric matter through a local-density approximation. The differentialmore » cross sections and the analyzing powers in p+{sup 40}Ca and p+{sup 208}Pb elastic scattering at E{sub p}{<=}200 MeV are studied with these RMOPs. A satisfactory agreement with the experimental data is found. This is achieved without readjusting phenomenologically the RMOP derived from the DBHF plus polarization diagram.« less
  • The neutron–proton effective mass splitting in asymmetric nucleonic matter of isospin asymmetry δ and normal density is found to be m* n-p≡(m* n – m* p)/m = (0.41 ± 0.15)δ from analyzing globally 1088 sets of reaction and angular differential cross sections of proton elastic scattering on 130 targets with beam energies from 0.783 MeV to 200 MeV, and 1161 sets of data of neutron elastic scattering on 104 targets with beam energies from 0.05 MeV to 200 MeV within an isospin dependent non-relativistic optical potential model. It sets a useful reference for testing model predictions on the momentum dependencemore » of the nucleon isovector potential necessary for understanding novel structures and reactions of rare isotopes.« less
  • The neutron–proton effective mass splitting in asymmetric nucleonic matter of isospin asymmetry δ and normal density is found to be m* n-p≡(m* n – m* p)/m = (0.41 ± 0.15)δ from analyzing globally 1088 sets of reaction and angular differential cross sections of proton elastic scattering on 130 targets with beam energies from 0.783 MeV to 200 MeV, and 1161 sets of data of neutron elastic scattering on 104 targets with beam energies from 0.05 MeV to 200 MeV within an isospin dependent non-relativistic optical potential model. It sets a useful reference for testing model predictions on the momentum dependencemore » of the nucleon isovector potential necessary for understanding novel structures and reactions of rare isotopes.« less
  • The core of neutron-star matter is supposed to be at a much higher density than the normal nuclear-matter density, for which various possibilities have been suggested, such as, for example, meson or hyperon condensation and/or deconfined quark or color-superconducting matter. In this work, we explore the implication on hadron physics of a dense compact object that has three ''phases'': nuclear matter at the outer layer, kaon condensed nuclear matter in the middle, and strange quark matter at the core. Using a drastically simplified but not unreasonable model, we develop the scenario where the different phases are smoothly connected with themore » kaon condensed matter playing a role of a ''doorway'' to a quark core, the equation of state of which with parameters restricted within the range allowed by nature could be made compatible with the mass vs radius constraint given by the 1.97-solar-mass object PSR J1614-2230 recently observed.« less
  • In the linear chiral perturbation theory, both kaon and antikaon masses decrease in dense matter. There is also a repulsive vector potential for the kaon and an attractive one for the antikaon. With these effects included in the relativistic transport model, it is found that the slope parameter of the kaon kinetic energy distribution is larger than that of the antikaon. This is consistent with the experimental data from heavy-ion collisions in the Alternating Gradient Synchrotron experiments at Brookhaven.