Nonrelativistic QCD predictions of D-wave quarkonia {sup 3}D{sub J}(J=1,2,3) decay into light hadrons at order {alpha}{sub s}{sup 3}

Journal Article · Thu Apr 01 00:00:00 EDT 2010 · Physical Review. D, Particles Fields

DOI:https://doi.org/10.1103/PHYSREVD.81.074032· OSTI ID:21409494

Zhiguo, He; Ying, Fan; Kuangta, Chao ^[1]

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1. Department of Physics and State Key Laboratory of Nuclear Physics and Technology, Peking University, Beijing 100871 (China)

In this paper, in the framework of nonrelativistic QCD we study the light hadron (LH) decays of the spin-triplet (S=1) D-wave heavy quarkonia. The short-distance coefficients of all Fock states in the {sup 3}D{sub J} (J=1, 2, 3) quarkonia including the D-wave color singlet, P-wave color octet, and S-wave color singlet and color octet are calculated perturbatively at {alpha}{sub s}{sup 3} order. The operator evolution equations of the four-fermion operators are also derived and are used to estimate the numerical values of the long-distance matrix elements. We find that for the cc system, the LH decay widths of {psi}(1{sup 3}D{sub J}) predicted by nonrelativistic QCD is about 2{approx}3 times larger than the phenomenological potential model results, while for the bb system the two theoretical estimations of {Gamma}({Upsilon}(1{sup 3}D{sub J}){yields}LH) are in coincidence with each other. Our predictions for {psi}(1{sup 3}D{sub J}) LH decay widths are {Gamma}({psi}(1{sup 3}D{sub J}){yields}LH)=(435,50,172) keV for J=1, 2, 3; and for {Upsilon}(1{sup 3}D{sub J}), {Gamma}({Upsilon}(1{sup 3}D{sub J}){yields}LH)=(6.91,0.75,2.75) keV for J=1, 2, 3.

• OSTI ID: 21409494
• Journal Information: Physical Review. D, Particles Fields, Vol. 81, Issue 7; Other Information: DOI: 10.1103/PhysRevD.81.074032; (c) 2010 The American Physical Society; ISSN 0556-2821
• Country of Publication: United States
• Language: English

Related Subjects

72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
COLOR MODEL
D WAVES
EQUATIONS
FERMIONS
FORECASTING
HADRONS
MATRIX ELEMENTS
P WAVES
PARTICLE DECAY
QUANTUM CHROMODYNAMICS
QUARKONIUM
S WAVES
SPIN
TRIPLETS
ANGULAR MOMENTUM
COMPOSITE MODELS
DECAY
ELEMENTARY PARTICLES
FIELD THEORIES
MATHEMATICAL MODELS
MULTIPLETS
PARTIAL WAVES
PARTICLE MODELS
PARTICLE PROPERTIES
QUANTUM FIELD THEORY
QUARK MODEL