Perturbative QCD fragmentation functions for production of [ital P]-wave charm and bottom mesons

Journal Article · Tue Nov 01 04:00:00 EST 1994 · Physical Review, D (Particles Fields); (United States)

DOI:https://doi.org/10.1103/PhysRevD.50.5664· OSTI ID:6962653

Yuan, T C ^[1]

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1. Davis Institute for High Energy Physics, Department of Physics, University of California, Davis, California 95616 (United States)

We calculate the leading order QCD fragmentation functions for the production of [ital P]-wave charmed [ital b] mesons. Long-distance effects are factored into two nonperturbative parameters: the derivative of the radial wave function at the origin and a second parameter related to the probability for a ([ital [bar b]c]) heavy quark pair that is produced in a color-octet [ital S]-wave state to form a color-singlet [ital P]-wave bound state. The four 2[ital P] states and those 3[ital P] states which lie below the [ital BD] flavor threshold eventually all decay into the 1[ital S] ground state [ital B][sub [ital c]] through hadronic cascades or by emitting photons. The total fragmentation probabilities for production of the 1[ital S] ground state [ital B][sub [ital c]] from the cascades of the 2[ital P] and 3[ital P] states are about 1.7[times]10[sup [minus]4] and 2.3[times]10[sup [minus]4], respectively. Thus the direct production of the [ital P]-wave states via fragmentation may account for a significant fraction of the inclusive production rate of the [ital B][sub [ital c]] at large transverse momentum in high energy colliders. Our analytic results for the [ital P]-wave fragmentation functions disagree with those obtained earlier in the literature. Our results also cover the [ital P]-wave heavy quarkonium case in the equal mass limit.

• DOE Contract Number: FG03-91ER40674
• OSTI ID: 6962653
• Journal Information: Physical Review, D (Particles Fields); (United States), Journal Name: Physical Review, D (Particles Fields); (United States) Vol. 50:9; ISSN PRVDAQ; ISSN 0556-2821
• Country of Publication: United States
• Language: English

Related Subjects

662230 -- Quantum Chromodynamics-- (1992-)
662340* -- Hadron Interactions-- (1992-)
662420 -- Properties of Mesons & Meson Resonances-- (1992-)
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
BEAUTY MESONS
BEAUTY PARTICLES
BOSONS
CHARM PARTICLES
CHARMED MESONS
ELEMENTARY PARTICLES
FIELD THEORIES
FRAGMENTATION
FUNCTIONS
HADRONS
MESONS
P WAVES
PARTIAL WAVES
PARTICLE PRODUCTION
PERTURBATION THEORY
QUANTUM CHROMODYNAMICS
QUANTUM FIELD THEORY
WAVE FUNCTIONS