Color-singlet quark-pair transmutation: Helicity amplitudes and partial-wave analysis

Journal Article · Wed Feb 01 00:00:00 EST 1989 · Phys. Rev. D; (United States)

DOI:https://doi.org/10.1103/PhysRevD.39.938· OSTI ID:6206685

Roberts, W

Quark-pair transmutation via two gluons is the lowest-order, color-singlet process. In this paper the helicity amplitudes for this process are evaluated and a partial-wave analysis performed. The amplitudes for these annihilations are infrared divergent and this divergence is removed by giving the gluons a confinement mass. The results are generally dependent on this mass. Many of the features are similar to those of quark-pair annihilation into two gluons. Somewhat surprisingly, there is a large proportion of a 1/sup +/ partial wave. Threshold effects are understood in terms of threshold effects in pair annihilation into two gluons. However, there is a ''competition'' effect that depends on the ratio of masses of the initial- and final-quark pairs. For similar masses, singlet production dominates as expected, but for very dissimilar masses, singlet annihilation of the heavier pair competes with triplet production of the lighter pair. Some comments about the possible applications and extensions of this work are made. Obvious applications are to the Okubo-Zweig-Iizuka-rule-suppressed decays of quarkonia. Other applications include development of a quark-pair-creation model that differs from the usual /sup 3/P/sub 0/ and /sup 3/S/sub 1/ models.

• Research Organization: Guelph-Waterloo Program for Graduate Work in Physics, Department of Physics, University of Guelph, Guelph, Ontario, Canada N1G 2W1
• OSTI ID: 6206685
• Journal Information: Phys. Rev. D; (United States), Vol. 39:3
• Country of Publication: United States
• Language: English

Related Subjects

72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
GLUONS
PARTICLE PRODUCTION
QUARK-ANTIQUARK INTERACTIONS
ANNIHILATION
COLOR MODEL
DECAY
EIGENSTATES
EIGENVALUES
HELICITY
INFRARED DIVERGENCES
PARITY
PERTURBATION THEORY
QUANTUM CHROMODYNAMICS
SELECTION RULES
SPIN
THRESHOLD ENERGY
ANGULAR MOMENTUM
BASIC INTERACTIONS
COMPOSITE MODELS
ELECTROMAGNETIC INTERACTIONS
ELEMENTARY PARTICLES
ENERGY
FIELD THEORIES
INTERACTIONS
MATHEMATICAL MODELS
PARTICLE INTERACTIONS
PARTICLE MODELS
PARTICLE PROPERTIES
POSTULATED PARTICLES
QUANTUM FIELD THEORY
QUARK MODEL
645204* - High Energy Physics- Particle Interactions & Properties-Theoretical- Strong Interactions & Properties
645400 - High Energy Physics- Field Theory