Semiclassical sum rules

Journal Article · Mon May 01 04:00:00 EDT 1978 · Phys. Rev., D; (United States)

DOI:https://doi.org/10.1103/PhysRevD.17.2364· OSTI ID:6842233

Quigg, C; Rosner, J L

The expression vertical-barPsi/sub n/(0) vertical-bar/sup 2/ = (2..mu..)/sup 3/2/E/sub n//sup 1/2/(dE/sub n//dn)/4..pi../sup 2/, relating the square of the nth s-wave wave function at the origin to the bound-state reduced mass ..mu.. and the excitation energy E/sub n/, is derived semiclassically. The relation is then used to obtain several sum rules for electron-positron annihilation and an expression for the contribution of a given flavor of heavy quark to the photon-nucleon total cross section.

• Research Organization: Fermi National Accelerator Laboratory, P. O. Box 500, Batavia, Illinois 60510
• OSTI ID: 6842233
• Journal Information: Phys. Rev., D; (United States), Journal Name: Phys. Rev., D; (United States) Vol. 17:9; ISSN PRVDA
• Country of Publication: United States
• Language: English

Related Subjects

645202* -- High Energy Physics-- Particle Interactions & Properties-Theoretical-- Electromagnetic Interactions & Properties
645203 -- High Energy Physics-- Particle Interactions & Properties-Theoretical-- Weak Interactions & Properties
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
ANNIHILATION
BASIC INTERACTIONS
BOUND STATE
COMPOSITE MODELS
CROSS SECTIONS
ELECTROMAGNETIC INTERACTIONS
ELECTRON-POSITRON INTERACTIONS
EQUATIONS
FUNCTIONS
INTERACTIONS
LEPTON-LEPTON INTERACTIONS
MATHEMATICAL MODELS
PARTIAL WAVES
PARTICLE INTERACTIONS
PARTICLE MODELS
PHOTON-BARYON INTERACTIONS
PHOTON-HADRON INTERACTIONS
PHOTON-NUCLEON INTERACTIONS
QUARK MODEL
S WAVES
SUM RULES
TOTAL CROSS SECTIONS
WAVE FUNCTIONS
WKB APPROXIMATION