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Title: Radial Regge trajectories for higher {psi}(nS) and {psi}(nD) states

Abstract

The masses of {Psi}((n + 1){sup 3}S{sub 1}) and {Psi}(n{sup 3}D{sub 1}) are calculated using the relativistic string Hamiltonian with 'linear + gluon-exchange' potential. They occur in the range 4.5-5.8 GeV, in particular, M(3D) = 4.54 GeV, M(5S) = 4.79 GeV, M(4D) = 4.85 GeV are calculated with accuracy {approx}50 MeV. The linear Regge trajectories: M{sup 2}(nS) = M{sup 2}({psi}(4.42)) + 2.91 GeV{sup 2} (n - 4) (n {>=} 4) and M{sup 2}(nD) = M{sup 2}({Psi}(4.54)) + 2.88 GeV{sup 2} (n - 3) (n {>=} 3) are obtained only for higher charmonium states. They have a slope two times larger than that of light mesons and give a good description of calculated masses. These masses are compared with enhancements in some recent e{sup +}e{sup -} experiments.

Authors:
 [1]
  1. Institute of Theoretical and Experimental Physics (Russian Federation)
Publication Date:
OSTI Identifier:
22043853
Resource Type:
Journal Article
Journal Name:
Physics of Atomic Nuclei
Additional Journal Information:
Journal Volume: 74; Journal Issue: 9; Other Information: Copyright (c) 2011 Pleiades Publishing, Ltd.; Country of input: International Atomic Energy Agency (IAEA); Journal ID: ISSN 1063-7788
Country of Publication:
United States
Language:
English
Subject:
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; ACCURACY; CHARMONIUM; ELECTRON-POSITRON INTERACTIONS; GEV RANGE; GLUONS; HAMILTONIANS; MEV RANGE; PARTICLE PRODUCTION; POTENTIALS; REGGE TRAJECTORIES; RELATIVISTIC RANGE; REST MASS; STRING MODELS

Citation Formats

Badalian, A. M., E-mail: badalian@itep.ru. Radial Regge trajectories for higher {psi}(nS) and {psi}(nD) states. United States: N. p., 2011. Web. doi:10.1134/S106377881109002X.
Badalian, A. M., E-mail: badalian@itep.ru. Radial Regge trajectories for higher {psi}(nS) and {psi}(nD) states. United States. doi:10.1134/S106377881109002X.
Badalian, A. M., E-mail: badalian@itep.ru. Thu . "Radial Regge trajectories for higher {psi}(nS) and {psi}(nD) states". United States. doi:10.1134/S106377881109002X.
@article{osti_22043853,
title = {Radial Regge trajectories for higher {psi}(nS) and {psi}(nD) states},
author = {Badalian, A. M., E-mail: badalian@itep.ru},
abstractNote = {The masses of {Psi}((n + 1){sup 3}S{sub 1}) and {Psi}(n{sup 3}D{sub 1}) are calculated using the relativistic string Hamiltonian with 'linear + gluon-exchange' potential. They occur in the range 4.5-5.8 GeV, in particular, M(3D) = 4.54 GeV, M(5S) = 4.79 GeV, M(4D) = 4.85 GeV are calculated with accuracy {approx}50 MeV. The linear Regge trajectories: M{sup 2}(nS) = M{sup 2}({psi}(4.42)) + 2.91 GeV{sup 2} (n - 4) (n {>=} 4) and M{sup 2}(nD) = M{sup 2}({Psi}(4.54)) + 2.88 GeV{sup 2} (n - 3) (n {>=} 3) are obtained only for higher charmonium states. They have a slope two times larger than that of light mesons and give a good description of calculated masses. These masses are compared with enhancements in some recent e{sup +}e{sup -} experiments.},
doi = {10.1134/S106377881109002X},
journal = {Physics of Atomic Nuclei},
issn = {1063-7788},
number = 9,
volume = 74,
place = {United States},
year = {2011},
month = {9}
}