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

Journal Article · Thu Sep 15 00:00:00 EDT 2011 · Physics of Atomic Nuclei

DOI:https://doi.org/10.1134/S106377881109002X· OSTI ID:22043853

Badalian, A. M., E-mail: [e-mail] ^[1]

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1. Institute of Theoretical and Experimental Physics (Russian Federation)

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.

• OSTI ID: 22043853
• Journal Information: Physics of Atomic Nuclei, Vol. 74, Issue 9; Other Information: Copyright (c) 2011 Pleiades Publishing, Ltd.; Country of input: International Atomic Energy Agency (IAEA); ISSN 1063-7788
• Country of Publication: United States
• Language: English

Related Subjects

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