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Title: Heavy baryons in the Skyrme model: The role of highly anharmonic collective motion

Abstract

In the heavy quark and large N{sub c} limits, ordinary (exotic) heavy baryons can be considered as bound states of heavy mesons (antimesons) and chiral solitons. In these limits, the heavy mesons (or antimesons) and the chiral solitons are extremely heavy and are presumed to fall to the bottom of the effective potential. Previous studies have approximated the effective potential as harmonic about the minimum. However, when realistic masses for the heavy meson and chiral soliton are considered, longer range parts of the effective potential can become relevant. In this paper, we show that these longer-ranged effects yield effective wave functions which are qualitatively very different from those expected from the combined large N{sub c} and heavy quark limits. These potentials can support bound heavy pentaquarks under some conditions. The consequence of these new energy states and wave functions on the Isgur-Wise function for the semileptonic decay of heavy baryons is also considered.

Authors:
;  [1]
  1. Department of Physics, University of Maryland, College Park, Maryland 20742-4111 (United States)
Publication Date:
OSTI Identifier:
21020479
Resource Type:
Journal Article
Resource Relation:
Journal Name: Physical Review. D, Particles Fields; Journal Volume: 75; Journal Issue: 9; Other Information: DOI: 10.1103/PhysRevD.75.094007; (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; ANTIMESONS; B QUARKS; BARYONS; BOUND STATE; C QUARKS; CHIRALITY; REST MASS; SEMILEPTONIC DECAY; SKYRME POTENTIAL; SOLITONS; T QUARKS; WAVE FUNCTIONS

Citation Formats

Cohen, Thomas D., and Hohler, Paul M. Heavy baryons in the Skyrme model: The role of highly anharmonic collective motion. United States: N. p., 2007. Web. doi:10.1103/PHYSREVD.75.094007.
Cohen, Thomas D., & Hohler, Paul M. Heavy baryons in the Skyrme model: The role of highly anharmonic collective motion. United States. doi:10.1103/PHYSREVD.75.094007.
Cohen, Thomas D., and Hohler, Paul M. Tue . "Heavy baryons in the Skyrme model: The role of highly anharmonic collective motion". United States. doi:10.1103/PHYSREVD.75.094007.
@article{osti_21020479,
title = {Heavy baryons in the Skyrme model: The role of highly anharmonic collective motion},
author = {Cohen, Thomas D. and Hohler, Paul M.},
abstractNote = {In the heavy quark and large N{sub c} limits, ordinary (exotic) heavy baryons can be considered as bound states of heavy mesons (antimesons) and chiral solitons. In these limits, the heavy mesons (or antimesons) and the chiral solitons are extremely heavy and are presumed to fall to the bottom of the effective potential. Previous studies have approximated the effective potential as harmonic about the minimum. However, when realistic masses for the heavy meson and chiral soliton are considered, longer range parts of the effective potential can become relevant. In this paper, we show that these longer-ranged effects yield effective wave functions which are qualitatively very different from those expected from the combined large N{sub c} and heavy quark limits. These potentials can support bound heavy pentaquarks under some conditions. The consequence of these new energy states and wave functions on the Isgur-Wise function for the semileptonic decay of heavy baryons is also considered.},
doi = {10.1103/PHYSREVD.75.094007},
journal = {Physical Review. D, Particles Fields},
number = 9,
volume = 75,
place = {United States},
year = {Tue May 01 00:00:00 EDT 2007},
month = {Tue May 01 00:00:00 EDT 2007}
}