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Title: Regularities in hadron systematics, Regge trajectories and a string quark model.

Abstract

An empirical principle for the construction of a linear relationship between the total angular momentum and squared-mass of baryons is proposed. In order to examine linearity of the trajectories, a rigorous least-squares regression analysis was performed. Unlike the standard Regge-Chew-Frautschi approach, the constructed trajectories do not have nonlinear behavior. A similar regularity may exist for lowest-mass mesons. The linear baryonic trajectories are well described by a semiclassical picture based on a spinning relativistic string with tension. The obtained numerical solution of this model was used to extract the (di)quark masses.

Authors:
; ; ;
Publication Date:
Research Org.:
Argonne National Lab. (ANL), Argonne, IL (United States)
Sponsoring Org.:
USDOE Office of Science (SC)
OSTI Identifier:
939071
Report Number(s):
ANL-HEP-PR-06-61
Journal ID: ISSN 1550-7998; TRN: US0806158
DOE Contract Number:
DE-AC02-06CH11357
Resource Type:
Journal Article
Resource Relation:
Journal Name: Phys. Rev. D; Journal Volume: 75; Journal Issue: 2007
Country of Publication:
United States
Language:
ENGLISH
Subject:
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; ANGULAR MOMENTUM; BARYONS; CONSTRUCTION; HADRONS; MESONS; NUMERICAL SOLUTION; QUARK MODEL; REGGE TRAJECTORIES; REGRESSION ANALYSIS; TRAJECTORIES

Citation Formats

Chekanov, S., Levchenko, B., High Energy Physics, and Inst. of Nuclear Physics. Regularities in hadron systematics, Regge trajectories and a string quark model.. United States: N. p., 2007. Web. doi:10.1103/PhysRevD.75.014007.
Chekanov, S., Levchenko, B., High Energy Physics, & Inst. of Nuclear Physics. Regularities in hadron systematics, Regge trajectories and a string quark model.. United States. doi:10.1103/PhysRevD.75.014007.
Chekanov, S., Levchenko, B., High Energy Physics, and Inst. of Nuclear Physics. Mon . "Regularities in hadron systematics, Regge trajectories and a string quark model.". United States. doi:10.1103/PhysRevD.75.014007.
@article{osti_939071,
title = {Regularities in hadron systematics, Regge trajectories and a string quark model.},
author = {Chekanov, S. and Levchenko, B. and High Energy Physics and Inst. of Nuclear Physics},
abstractNote = {An empirical principle for the construction of a linear relationship between the total angular momentum and squared-mass of baryons is proposed. In order to examine linearity of the trajectories, a rigorous least-squares regression analysis was performed. Unlike the standard Regge-Chew-Frautschi approach, the constructed trajectories do not have nonlinear behavior. A similar regularity may exist for lowest-mass mesons. The linear baryonic trajectories are well described by a semiclassical picture based on a spinning relativistic string with tension. The obtained numerical solution of this model was used to extract the (di)quark masses.},
doi = {10.1103/PhysRevD.75.014007},
journal = {Phys. Rev. D},
number = 2007,
volume = 75,
place = {United States},
year = {Mon Jan 01 00:00:00 EST 2007},
month = {Mon Jan 01 00:00:00 EST 2007}
}
  • An empirical principle for the construction of a linear relationship between the total angular momentum and squared-mass of baryons is proposed. In order to examine linearity of the trajectories, a rigorous least-squares regression analysis was performed. Unlike the standard Regge-Chew-Frautschi approach, the constructed trajectories do not have nonlinear behavior. A similar regularity may exist for lowest-mass mesons. The linear baryonic trajectories are well described by a semiclassical picture based on a spinning relativistic string with tension. The obtained numerical solution of this model was used to extract the (di)quark masses.
  • All the data on vector and tensor Regge trajectories are analyzed on the basis of right-hand analyticity and dual topological unitarization. The trajectory components generated by reggeon coupling to the quark and hadronic sectors are separated. It is shown that the degeneracy of the trajectories and purity of the states occurring at the planar quark level are then violated by instability of the reggeons, that is, coupling of reggeons to hadronic channels. A significant nonlinearity must be present at the planar level, as without it it is impossible to make the scattering and resonance data agree.
  • The string-flip model of quark confinement is extended and applied to two-baryon systems with color, spin, and flavor degrees of freedom. The model avoids a pathological color van der Waals force, unlike a conventional two-body quark-confining potential model. Resonating-group-method calculations of the N-N phase shifts are presented for several different color-dependent potentials. A realistic model with a short-range interquark potential and an effective meson-exchange interaction is proposed and found to reproduce /sup 1/S/sub 0/ N-N scattering data very well.
  • The string-flip model of quark confinement is extended and applied to q/sup 2/q-bar /sup 2/ systems with color, spin, and flavor degrees of freedom. A realistic model for systems of two light mesons is constructed and the meson-meson interaction is investigated with the resonating-group method. Choosing the confinement strength for the confined (''hidden-color'') state is discussed in detail. We find that the interaction in the confined state often produces two-meson bound states or low-lying sharp resonances. The 2/sup +/ two-vector-meson systems and the K-K-bar interaction are studied in detail. The results are compared with those for other models and themore » possibility of observing ''hidden-color'' dominant resonances is discussed.« less
  • The mass spectrum and the Regge trajectories of vector mesons are calculated on the basis of the relativistic two-particle quasipotential equation with a barrier potential that increases linearly with distance.