Quark ''fragmentation'' in a field-theoretic model of composite hadrons and e/sup +/e/sup -/ annihilation

Journal Article · Sun Jun 01 00:00:00 EDT 1980 · Phys. Rev., D; (United States)

DOI:https://doi.org/10.1103/PhysRevD.21.3094· OSTI ID:5427863

Misra, S P; Panda, A R

We consider here a dynamical mechanism for the ''fragmentation'' of quarks with a field-theoretic model of composite hadrons with quarks as constituents, and with a phenomenological interaction of quarks mediated by vector mesons. In the present model the bounded nature of the transverse momentum of quark jets arises from the momentum localization of the wave functions of the hadrons. In the lowest-order contribution the kinematics becomes such that for the quark-antiquark pair, there is hardly any change in the four-momentum of one, whereas the four-momentum of the other gets shared between a quark and a meson with limited transverse momentum corresponding to the quark ''fragmentation.'' As an example, the harmonic-oscillator wave functions for the mesons are used for the calculation of the quark-fragmentation functions which has been used throughout. Different signals for quark jets and for e/sup +/e/sup -/ annihilation are then examined. The model automatically includes a transverse-momentum distribution which is discussed. This transverse momentum depends on the scaling variable giving rise to an energy-dependent sea-gull effect. It appears that the harmonic-oscillator wave functions, though adequate for the gross features of quark-fragmentation processes with practically no free parameter, as expected, fail regarding some details. Also, the mechanism for the recombination of the final quark and antiquark after repeated fragmentation becomes relevant for the analysis of data at low energies, an illustration of which has been given. The possibility that the above phenomenological interaction may be that of quantum chromodynamics is noted.

• Research Organization: Institute of Physics, A/105 Saheed Nagar, Bhubaneswar-751007, India
• OSTI ID: 5427863
• Journal Information: Phys. Rev., D; (United States), Vol. 21:11
• Country of Publication: United States
• Language: English

Related Subjects

72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
ELECTRON-POSITRON INTERACTIONS
ANNIHILATION
FIELD THEORIES
FRAGMENTATION
QUARKS
HADRONS
HARMONIC OSCILLATOR MODELS
JET MODEL
PARTICLE PRODUCTION
QUANTUM CHROMODYNAMICS
SU-3 GROUPS
TRANSVERSE MOMENTUM
VECTOR MESONS
WAVE FUNCTIONS
BASIC INTERACTIONS
BOSONS
ELECTROMAGNETIC INTERACTIONS
ELEMENTARY PARTICLES
FUNCTIONS
INTERACTIONS
LEPTON-LEPTON INTERACTIONS
LIE GROUPS
LINEAR MOMENTUM
MATHEMATICAL MODELS
MESON RESONANCES
MESONS
PARTICLE INTERACTIONS
PARTICLE MODELS
POSTULATED PARTICLES
QUANTUM FIELD THEORY
RESONANCE PARTICLES
SU GROUPS
SYMMETRY GROUPS
645202* - High Energy Physics- Particle Interactions & Properties-Theoretical- Electromagnetic Interactions & Properties
645400 - High Energy Physics- Field Theory