Threshold behavior of pion and proton structure functions in the Bethe--Salpeter description

Journal Article · Sat May 01 04:00:00 EDT 1976 · Phys. Rev., D; (United States)

DOI:https://doi.org/10.1103/PhysRevD.13.2572· OSTI ID:7192777

Alabiso, C; Schierholz, G

The threshold behavior of the structure funtion ..nu..W/sub 2/ is evaluated for two- and three-body bound states described by the Blankenbecler--Sugar wave functions. In our approach this is completely equivalent to a fully relativistic Bethe--Salpeter treatment. For spin-zero constituents and a two-body interaction which behaves as (q/sup 2/)/sup -theta/ at large momentum transfer, we obtain (1-..omega..)/sup 1+2theta/ and (1-..omega..)/sup 3+4theta/ for the two- and three-body bound states, respectively. For spin-1/2 constitutents and the interaction V = GAMMA/sub (..mu..)/V-tildeGAMMA/sup (..mu..)/ with V-tilde (q,k) approx. ((q-k)/sup 0/)/sup -1-..delta../ as (q-k) ..-->.. infinity, we obtain again (1-..omega../sup 1+2..delta../ and (1-..omega..)/sup 3+4..delta../, respectively, if GAMMA/sub(..mu..)/ = ..gamma../sub ..mu../ but (1-..omega..)/sup 2+2..delta../ and (1-..omega..)/sup 5+4..delta../, respectively, if GAMMA/sub (..mu..) = 1/sub 1/..gamma../sub 5/. Comparison with previous results on form factors show that the Drell--Yan--West relation is satisfied in all the models considered here. (AIP)

• Research Organization: Stanford Linear Accelerator Center, Stanford University, Stanford, California 94305
• OSTI ID: 7192777
• Journal Information: Phys. Rev., D; (United States), Journal Name: Phys. Rev., D; (United States) Vol. 13:9; ISSN PRVDA
• Country of Publication: United States
• Language: English

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72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
BARYONS
BETHE-SALPETER EQUATION
BLANKENBECLER-SUGAR EQUATIONS
BOSONS
BOUND STATE
ELEMENTARY PARTICLES
EQUATIONS
FERMIONS
FORM FACTORS
FUNCTIONS
GLUON MODEL
HADRONS
INTEGRAL EQUATIONS
MANY-BODY PROBLEM
MATHEMATICAL MODELS
MESONS
NUCLEONS
PARTICLE MODELS
PARTICLE PROPERTIES
PIONS
PROTONS
PSEUDOSCALAR MESONS
STRUCTURE FUNCTIONS
THREE-BODY PROBLEM
TWO-BODY PROBLEM