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Title: Heavy quarkonium in a holographic QCD model

Abstract

Encouraged by recent developments in AdS/QCD models for the light quark system, we study heavy quarkonium in the framework of the AdS/QCD models. We calculate the masses of cc vector meson states using the AdS/QCD models at zero and at finite temperature. Among the models adopted in this work, we find that the soft-wall model describes the low-lying heavy quark meson states at zero temperature relatively well. At finite temperature, we observe that once the bound state is above T{sub c}, its mass will increase with temperature until it dissociates at a temperature of around 494 MeV. It is shown that the dissociation temperature is fixed by the infrared cutoff of the models. The present model serves as a unified nonperturbative model to investigate the properties of bound quarkonium states above T{sub c}.

Authors:
;  [1];  [2]
  1. School of Physics, Korea Institute for Advanced Study, Seoul 130-722 (Korea, Republic of)
  2. Institute of Physics and Applied Physics, Yonsei University, Seoul 120-749 (Korea, Republic of)
Publication Date:
OSTI Identifier:
20929547
Resource Type:
Journal Article
Resource Relation:
Journal Name: Physical Review. D, Particles Fields; Journal Volume: 75; Journal Issue: 11; Other Information: DOI: 10.1103/PhysRevD.75.114008; (c) 2007 The American Physical Society; Country of input: International Atomic Energy Agency (IAEA)
Country of Publication:
United States
Language:
English
Subject:
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; B QUARKS; BOUND STATE; C QUARKS; D QUARKS; HOLOGRAPHY; MASS; MEV RANGE 100-1000; PARTICLE MODELS; QUANTUM CHROMODYNAMICS; QUARKONIUM; T QUARKS; U QUARKS; VECTOR MESONS

Citation Formats

Kim, Youngman, Lee, Jong-Phil, and Lee, Su Houng. Heavy quarkonium in a holographic QCD model. United States: N. p., 2007. Web. doi:10.1103/PHYSREVD.75.114008.
Kim, Youngman, Lee, Jong-Phil, & Lee, Su Houng. Heavy quarkonium in a holographic QCD model. United States. doi:10.1103/PHYSREVD.75.114008.
Kim, Youngman, Lee, Jong-Phil, and Lee, Su Houng. Fri . "Heavy quarkonium in a holographic QCD model". United States. doi:10.1103/PHYSREVD.75.114008.
@article{osti_20929547,
title = {Heavy quarkonium in a holographic QCD model},
author = {Kim, Youngman and Lee, Jong-Phil and Lee, Su Houng},
abstractNote = {Encouraged by recent developments in AdS/QCD models for the light quark system, we study heavy quarkonium in the framework of the AdS/QCD models. We calculate the masses of cc vector meson states using the AdS/QCD models at zero and at finite temperature. Among the models adopted in this work, we find that the soft-wall model describes the low-lying heavy quark meson states at zero temperature relatively well. At finite temperature, we observe that once the bound state is above T{sub c}, its mass will increase with temperature until it dissociates at a temperature of around 494 MeV. It is shown that the dissociation temperature is fixed by the infrared cutoff of the models. The present model serves as a unified nonperturbative model to investigate the properties of bound quarkonium states above T{sub c}.},
doi = {10.1103/PHYSREVD.75.114008},
journal = {Physical Review. D, Particles Fields},
number = 11,
volume = 75,
place = {United States},
year = {Fri Jun 01 00:00:00 EDT 2007},
month = {Fri Jun 01 00:00:00 EDT 2007}
}
  • Here, we study the heavy quarkonium within the basis light-front quantization approach. We implement the one-gluon exchange interaction and a confining potential inspired by light-front holography. We adopt the holographic light-front wavefunction (LFWF) as our basis function and solve the non-perturbative dynamics by diagonalizing the Hamiltonian matrix. We obtain the mass spectrum for charmonium and bottomonium. With the obtained LFWFs, we also compute the decay constants and the charge form factors for selected eigenstates. The results are compared with the experimental measurements and with other established methods.
  • Here, we study the heavy quarkonium within the basis light-front quantization approach. We implement the one-gluon exchange interaction and a confining potential inspired by light-front holography. We adopt the holographic light-front wavefunction (LFWF) as our basis function and solve the non-perturbative dynamics by diagonalizing the Hamiltonian matrix. We obtain the mass spectrum for charmonium and bottomonium. With the obtained LFWFs, we also compute the decay constants and the charge form factors for selected eigenstates. The results are compared with the experimental measurements and with other established methods.
  • A rigorous QCD analysis of the inclusive annihilation decay rates of heavy quarkonium states is presented. The effective-field-theory framework of nonrelativistic QCD is used to separate the short-distance scale of annihilation, which is set by the heavy quark mass [ital M], from the longer-distance scales associated with quarkonium structure. The annihilation decay rates are expressed in terms of nonperturbative matrix elements of four-fermion operators in nonrelativistic QCD, with coefficients that can be computed using perturbation theory in the coupling constant [alpha][sub [ital s]]([ital M]). The matrix elements are organized into a hierarchy according to their scaling with [ital v], themore » typical velocity of the heavy quark. An analogous factorization formalism is developed for the production cross sections of heavy quarkonium in processes involving momentum transfers of order [ital M] or larger. The factorization formulas are applied to the annihilation decay rates and production cross sections of [ital S]-wave states at next-to-leading order in [ital v][sup 2] and [ital P]-wave states at leading order in [ital v][sup 2].« less
  • The hadronic annihilation rate of 1{sup +{minus}} heavy quarkonium is given to next-to-leading order in {alpha}{sub {ital s}} and leading order in {ital v}{sup 2} using a recently developed factorization formalism which is based on NRQCD. The result includes both the annihilation of the {ital P}-wave color-singlet {ital Q{bar Q}} component, and the annihilation of the {ital S}-wave color-octet {ital Q{bar Q}} component of the quarkonium. The notorious infrared divergences due to soft gluons, i.e., the logarithms associated with the binding energy, encountered in previous perturbative calculations of 1{sup +{minus}} quarkonium decays, are found to be explicitly canceled, and amore » finite result for the decay width to order {alpha}{sup 3}{sub {ital s}} is then obtained. {copyright} {ital 1996 The American Physical Society.}« less
  • We estimate the decay rates of {eta}{sub c}{r_arrow}2{gamma}, {eta}{sub c}{sup {prime}}{r_arrow}2{gamma}, and J/{psi}{r_arrow}e{sup +}e{sup {minus}}, {psi}{sup {prime}}{r_arrow}e{sup +}e{sup {minus}}, by taking into account both relativistic and QCD radiative corrections. The decay amplitudes are derived in the Bethe-Salpeter formalism. The Bethe-Salpeter equation with a QCD-inspired interquark potential is used to calculate the wave functions and decay widths for these c{bar c} states. We find that the relativistic correction to the ratio R{equivalent_to}{Gamma}({eta}{sub c}{r_arrow}2{gamma})/{Gamma}(J/{psi}{r_arrow}e{sup +}e{sup {minus}}) is negative and tends to compensate the positive contribution from the QCD radiative correction. Our estimates give {Gamma}({eta}{sub c}{r_arrow}2{gamma})=(6{minus}7) keV and {Gamma}({eta}{sub c}{sup {prime}}{r_arrow}2{gamma})=2 keV, whichmore » are smaller than their nonrelativistic values. The hadronic widths {Gamma}({eta}{sub c}{r_arrow}2g)=(17{minus}23) MeV and {Gamma}({eta}{sub c}{sup {prime}}{r_arrow}2g)=(5{minus}7) MeV are then indicated accordingly to the first-order QCD radiative correction, if {alpha}{sub s}(m{sub c})=0.26{minus}0.29. The decay widths for the b{bar b} states are also estimated. We show that when making the assumption that the quarks are on their mass shells our expressions for the decay widths will become identical to that in the nonrelativistic QCD theory to the next to leading order of v{sup 2} and {alpha}{sub s}. {copyright} {ital 1997} {ital The American Physical Society}« less