Asymptotic expansion for the reduced wave function of quarkonium at the origin

Journal Article · Fri Aug 01 04:00:00 EDT 1986 · Sov. J. Nucl. Phys. (Engl. Transl.); (United States)

OSTI ID:7075114

Grigoryan, S S

On the basis of a comparison of two different representations (a spectral representation and a representation in the form of a Born series) of the Euclidean time-dependent Green function of the Schroedinger equation with a confining potential of a general power-law type, an asymptotic expansion in inverse powers of the binding energy is found for the reduced (i.e., divided by r/sup l/) quarkonium radial wave function at the origin. The leading term of this expansion coincides with analogous results obtained by other authors in the framework of the WKB approximation.

• Research Organization: Institute of High Energy Physics, Serpukhov
• OSTI ID: 7075114
• Journal Information: Sov. J. Nucl. Phys. (Engl. Transl.); (United States), Journal Name: Sov. J. Nucl. Phys. (Engl. Transl.); (United States) Vol. 44:2; ISSN SJNCA
• Country of Publication: United States
• Language: English

Related Subjects

645204* -- High Energy Physics-- Particle Interactions & Properties-Theoretical-- Strong Interactions & Properties
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
BINDING ENERGY
DIFFERENTIAL EQUATIONS
ENERGY
EQUATIONS
FUNCTIONS
GREEN FUNCTION
PARTIAL DIFFERENTIAL EQUATIONS
QUARKONIUM
SCHROEDINGER EQUATION
SERIES EXPANSION
WAVE EQUATIONS
WAVE FUNCTIONS