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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:
 [1];  [2]
  1. DESY Laboratory, Notkestrasse 85, 22607, Hamburg (Germany)
  2. Skobeltsyn Institute of Nuclear Physics, Moscow State University, 119992 Moscow (Russian Federation)
Publication Date:
OSTI Identifier:
20933222
Resource Type:
Journal Article
Resource Relation:
Journal Name: Physical Review. D, Particles Fields; Journal Volume: 75; Journal Issue: 1; Other Information: DOI: 10.1103/PhysRevD.75.014007; (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; ANGULAR MOMENTUM; BARYONS; LEAST SQUARE FIT; MASS; MESONS; NONLINEAR PROBLEMS; QUARKS; REGGE TRAJECTORIES; REGRESSION ANALYSIS; RELATIVISTIC RANGE; SEMICLASSICAL APPROXIMATION; STRING MODELS

Citation Formats

Chekanov, S. V., and Levchenko, B. B.. 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. V., & Levchenko, B. B.. Regularities in hadron systematics, Regge trajectories and a string quark model. United States. doi:10.1103/PHYSREVD.75.014007.
Chekanov, S. V., and Levchenko, B. B.. Mon . "Regularities in hadron systematics, Regge trajectories and a string quark model". United States. doi:10.1103/PHYSREVD.75.014007.
@article{osti_20933222,
title = {Regularities in hadron systematics, Regge trajectories and a string quark model},
author = {Chekanov, S. V. and Levchenko, B. B.},
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 = {Physical Review. D, Particles Fields},
number = 1,
volume = 75,
place = {United States},
year = {Mon Jan 01 00:00:00 EST 2007},
month = {Mon Jan 01 00:00:00 EST 2007}
}