Origin of the soft p sub T spectra

Journal Article · Sat Aug 01 04:00:00 EDT 1992 · Physical Review, D (Particles Fields); (United States)

DOI:https://doi.org/10.1103/PhysRevD.46.997· OSTI ID:7275204

Gatoff, G; Wong, C ^[1]

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1. Center for Computationally Intensive Physics and Physics Division, Oak Ridge National Laboratory, Oak Ridge, Tennessee 37831-6373 (United States)

In high-energy collisions, the soft {ital p}{sub {ital T}} spectra for produced mesons contain information on the motion of the quarks and antiquarks which form these mesons. We extract this information in the context of the flux-tube model with Schwinger's mechanism for particle production. We solve the Dirac equation for quarks (and antiquarks) inside a flux tube, described as an infinitely long cylinder of radius {ital r}{sub 0}, with a uniform electric field {kappa} inside it. We calculate the production rate of quarks, antiquarks, and pions as a function of {ital p}{sub {ital T}}. We study first a sharp transverse boundary, and find that the result deviates from the experimental soft {ital p}{sub {ital T}} spectra, with its characteristic exponential fall. We therefore introduce a scalar potential which varies smoothly in the radial direction. With simplifying assumptions we show how the experimental {ital p}{sub {ital T}} spectra of pions, created in {ital p}-{ital p} collisions, determine the transverse wave function and the scalar potential that would produce it. The classical turning point for this potential is of the order of 0.6 fm. However, the potential flattens out considerably beyond that point. The wave function decays as {ital r}{sup {minus}3/2} and there appears to be a considerable excursion of the quark into regions far beyond the classical turning point.

• DOE Contract Number: AC05-84OR21400
• OSTI ID: 7275204
• Journal Information: Physical Review, D (Particles Fields); (United States), Journal Name: Physical Review, D (Particles Fields); (United States) Vol. 46:3; ISSN PRVDA; ISSN 0556-2821
• Country of Publication: United States
• Language: English

Related Subjects

662340* -- Hadron Interactions-- (1992-)
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
BAG MODEL
BARYON-BARYON INTERACTIONS
BOSONS
BOUNDARY CONDITIONS
COMPOSITE MODELS
DIFFERENTIAL EQUATIONS
DIRAC EQUATION
ELECTRIC FIELDS
ELEMENTARY PARTICLES
ENERGY SPECTRA
EQUATIONS
EXTENDED PARTICLE MODEL
FERMIONS
FUNCTIONS
GREEN FUNCTION
HADRON-HADRON INTERACTIONS
HADRONS
INTERACTIONS
LINEAR MOMENTUM
MATHEMATICAL MODELS
MESONS
NUCLEON-NUCLEON INTERACTIONS
PARTIAL DIFFERENTIAL EQUATIONS
PARTICLE INTERACTIONS
PARTICLE MODELS
PARTICLE PRODUCTION
PIONS
POSTULATED PARTICLES
PROBABILITY
PROTON-NUCLEON INTERACTIONS
PROTON-PROTON INTERACTIONS
PSEUDOSCALAR MESONS
QUARK MODEL
QUARKS
SCALAR FIELDS
SPECTRA
TRANSVERSE MOMENTUM
WAVE EQUATIONS
WAVE FUNCTIONS