Decay constants, mass formulas, and mixings with radially excited states of the light and heavy ground-state pseudoscalar mesons

Journal Article · Mon Feb 01 00:00:00 EST 1988 · Phys. Rev. D; (United States)

DOI:https://doi.org/10.1103/PhysRevD.37.729· OSTI ID:5711887

Koide, Y; Oneda, S

In the absence of mixings with radially excited states and/or no exotic states, asymptotic flavor symmetry predicts, for the ground-state pseudoscalar mesons, f/sub K/ = f/sub ..pi../, f/sub +//sup K//sup ..pi../(0) = 1, and m/sub F//sup 2/-m/sub D//sup 2/ = m/sub K//sup 2/-m/sub ..pi..//sup 2/, etc. In this paper, we assume that the observed small deviations from these predictions originate mainly from the mixing between the ground states and the first radially excited states. Then, new sum rules f/sub +//sup a//sup b/(0) = cos(theta/sub a/-theta/sub b/) and f/sub b//f/sub a/ = cos(theta/sub b/-phi)/cos(theta/sub a/-phi) are derived, where theta/sub a/ (a = ..pi..,K,D,F,. . . ) is the mixing angle between the ground-state meson a and its radially excited counterpart a' and phi is a flavor-independent constant with chemically bondphichemically bondless than or equal to..pi../4. The experimentally indicated and theoretically plausible value f/sub +//sup K//sup ..pi../(0)approx. =0.973 leads to theta/sub K/-theta/sub ..pi../approx. =13/sup 0/ (for convenience, theta/sub K/>theta/sub ..pi../ is assumed) and f/sub K//f/sub ..pi../approx. =1.163 to theta/sub ..pi../-phiapprox. =-40/sup 0/. This value of theta/sub ..pi../-phi imposes an interesting restriction on the decay constant f/sub P/, f/sub P//f/sub ..pi../approx. <1.4, for any pseudoscalar meson P (P = ..pi..,K,D,F,. . . ).

• Research Organization: Department of Physics and Astronomy, Center for Theoretical Physics, University of Maryland, College Park, Maryland 20742
• OSTI ID: 5711887
• Journal Information: Phys. Rev. D; (United States), Vol. 37:3
• Country of Publication: United States
• Language: English

Related Subjects

72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
PSEUDOSCALAR MESONS
CONFIGURATION MIXING
DECAY
MASS FORMULAE
FLAVOR MODEL
MATRIX ELEMENTS
MOMENTUM TRANSFER
PERTURBATION THEORY
QUANTUM CHROMODYNAMICS
SUM RULES
SYMMETRY BREAKING
BOSONS
COMPOSITE MODELS
ELEMENTARY PARTICLES
EQUATIONS
FIELD THEORIES
HADRONS
INTERACTIONS
MATHEMATICAL MODELS
MESONS
PARTICLE MODELS
QUANTUM FIELD THEORY
QUARK MODEL
645204* - High Energy Physics- Particle Interactions &amp; Properties-Theoretical- Strong Interactions &amp; Properties