Vector-pseudoscalar mass splitting and. Upsilon. -. eta. sub b mass difference

Journal Article · Fri Dec 01 04:00:00 EST 1989 · Physical Review (Section) D: Particles and Fields; (USA)

DOI:https://doi.org/10.1103/PhysRevD.40.3655· OSTI ID:7017216

Song, X ^[1]

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1. Institute of Nuclear and Particle Physics, Department of Physics, University of Virginia, Charlottesville, Virginia 22901 (US)

For the vector-pseudoscalar mass difference, we propose a new unified empirical formula which works very well for almost all known mesons whether or not they contain one light quark. For heavy mesons, we predict {Upsilon}{minus}{eta}{sub {ital b}}=55.0{plus minus}5.0 MeV and in particular {psi}{prime}{minus}{eta}{sub {ital c}}{sup {prime}}=96.5{plus minus}5.0 MeV without any additional parameters. This new relation seems also valid for the radially excited states of mesons. The well-known approximate relation {ital M}{sub {ital V}}{sup 2}{minus}M{sub P}{sup 2}{approx equal}0.56 GeV{sup 2} can be reproduced as a special case for a narrow region of the reduced mass. A problem concerning the difference in the hyperfine splittings of self-conjugate mesons with zero isospin and in other mesons is solved.

• OSTI ID: 7017216
• Journal Information: Physical Review (Section) D: Particles and Fields; (USA), Journal Name: Physical Review (Section) D: Particles and Fields; (USA) Vol. 40:11; ISSN PRVDA; ISSN 0556-2821
• Country of Publication: United States
• Language: English

Related Subjects

645204* -- High Energy Physics-- Particle Interactions & Properties-Theoretical-- Strong Interactions & Properties
645400 -- High Energy Physics-- Field Theory
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
ANGULAR MOMENTUM
BOSONS
BOUND STATE
CHARMONIUM
ELEMENTARY PARTICLES
ENERGY LEVELS
ETA C-2980 MESONS
EXCITED STATES
FERMIONS
FIELD THEORIES
HADRONS
HYPERFINE STRUCTURE
ISOSPIN
MASS DIFFERENCE
MESONS
PARTICLE PROPERTIES
POSTULATED PARTICLES
PSEUDOSCALAR MESONS
PSI-3685 MESONS
QUANTUM CHROMODYNAMICS
QUANTUM FIELD THEORY
QUARKONIUM
QUARKS
SPIN
SYMMETRY BREAKING
VECTOR MESONS