KK molecules with momentum-dependent interactions

Journal Article · Thu Oct 15 00:00:00 EDT 2009 · Physical Review. C, Nuclear Physics

DOI:https://doi.org/10.1103/PHYSREVC.80.045205· OSTI ID:21293978

Lemmer, R H ^[1]

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1. School of Physics, University of the Witwatersrand, Johannesburg, Private Bag 3, WITS 2050 (South Africa)

It is shown that the momentum-dependent kaon-antikaon interactions generated via vector-meson exchange from the standard SU{sub V}(3)xSU{sub A}(3) interaction Lagrangian lead to a nonlocal potential in coordinate space that can be incorporated without approximation into a nonrelativistic version of the Bethe-Salpeter wave equation containing a radial-dependent effective kaon mass appearing in a fully symmetrized kinetic energy operator, in addition to a local potential. Estimates of the mass and decay widths of f{sub 0}(980) and a{sub 0}(980), considered as KK molecules of isospin 0 and 1, as well as for K{sup +}K{sup -} atomic bound states (kaonium) are presented and compared with previous studies of a similar nature. It is argued that without a better knowledge of hadronic form factors it is not possible to distinguish between the molecular versus elementary particle models for the structure of the light scalar mesons.

• OSTI ID: 21293978
• Journal Information: Physical Review. C, Nuclear Physics, Journal Name: Physical Review. C, Nuclear Physics Journal Issue: 4 Vol. 80; ISSN 0556-2813; ISSN PRVCAN
• Country of Publication: United States
• Language: English

Related Subjects

72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
A0-980 MESONS
APPROXIMATIONS
BETHE-SALPETER EQUATION
BOUND STATE
F0-980 MESONS
FORM FACTORS
INTERACTIONS
ISOSPIN
KAONIUM
KAONS MINUS
KAONS PLUS
KINETIC ENERGY
LAGRANGIAN FUNCTION
MOLECULES
NONLOCAL POTENTIAL
SCALAR MESONS
SU GROUPS
VECTOR MESONS
WAVE EQUATIONS