Covariant description of hydrogenlike mesons

Ávila, Manuel

doi:10.1103/physrevd.49.309

Cited by 11 publications

(22 citation statements)

References 23 publications

(36 reference statements)

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“…In particular, for quarkonia one can put the potential model on firm grounds by using an effective field theory (NRQCD) [43]. More generally, heavy-light mesons like the D and the B and their excited states at zero temperature have been studied in detail [12,13] by treating the lightq as a Dirac particle moving in a confining potential set up by the heavy quark Q. In this section we investigate the boundstate wavefunctions for D-and B-mesons at rest and in equilibrium with a thermal medium or in a co-moving plasma.…”

Section: The Fate Of Heavy Mesons Below and Above Tcmentioning

confidence: 99%

“…(12). The relevant mean quenching time -the time that the physical system of interest spends in a quark state -can be estimated from the analytic solution for f Q (p T , t), f H (p T , t) given in Appendix D. On the other hand, τ form represents the important stage until the first fragmentation of the heavy quark into heavy meson.…”

Section: Application To Heavy Meson Production In Heavy Ion Collismentioning

confidence: 99%

“…Heavy flavor provides the ideal testing ground for our first quantitative study of such many-body QCD effects because the lowest-lying Fock state in the light-cone wavefunction expansion for D and B mesons [10,11] can be related to the hadron rest-frame solution of the corresponding Dirac equation [12,13]. Furthermore, potential model calculations can be generalized up to temperatures of order few T c [14] using lattice QCD input [15].…”

Section: Introductionmentioning

confidence: 99%

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Light-cone wave function approach to open heavy flavor dynamics in QCD matter

2009

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We calculate the lowest order charm and beauty parton distribution functions in and fragmentation functions into D and B mesons using the operator definitions of factorized perturbative QCD. In the vacuum, we find the leading corrections that arise from the structure of the final-state hadrons. Quark-antiquark potentials extracted from the lattice are employed to demonstrate the existence of open heavy flavor bound-state solutions in the QGP in the vicinity of the critical temperature. We provide first results for the in-medium modification of the heavy quark distribution and decay probabilities in a co-moving plasma. In an improved perturbative QCD description of heavy flavor dynamics in the thermal medium, we combine D and B meson formation and dissociation with parton-level charm and beauty quark quenching to obtain predictions for the heavy meson and non-photonic electron suppression in Cu+Cu and Pb+Pb collisions at RHIC and the LHC, respectively.

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Section: The Fate Of Heavy Mesons Below and Above Tcmentioning

confidence: 99%

Section: Application To Heavy Meson Production In Heavy Ion Collismentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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Light-cone wave function approach to open heavy flavor dynamics in QCD matter

2009

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“…To determine the typical momenta k 2 i , we examine the numerical results of potential model calculations of D-and B-meson mass spectra and decay widths [26]. Solving the Dirac equation for the relativistic light quark in the potential of the heavy quark V = −ξ/r + br, one can achieve a very good description of the lowest-lying and excited heavy meson states.…”

Section: Light Cone Wave Functionsmentioning

confidence: 99%

Collisional dissociation of heavy mesons in dense QCD matter

2007

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In the framework of the reaction operator approach we calculate and resum the multiple elastic scattering of a fast qq system traversing dense nuclear matter. We derive the collisional broadening of the meson's transverse momentum and the distortion of its intrinsic light cone wave function. The medium-induced dissociation probability of heavy mesons is shown to be sensitive to the opacity of the quark-gluon plasma and the time dependence of its formation and evolution. We solve the system of coupled rate equations that describe the competition between the fragmentation of cand b-quarks and the QGP-induced dissociation of the D-and B-mesons to evaluate the quenching of heavy hadrons in nucleus-nucleus collisions. In contrast to previous results on heavy quark modification, this approach predicts suppression of B-mesons comparable to that of D-mesons at transverse momenta as low as pT ∼ 10 GeV. It allows for an improved description of the large attenuation of non-photonic electrons in central Au+Au reactions at RHIC.

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“…6 Other reason is that this value is also consistent with the universal Regge slope α 0.8 GeV −2 and finally because this value has given good results for the reproduction of the meson spectra. 7,8 The light quark mass is allowed to run in the interval 0 < m < 300 MeV while the strength of the color Coulomb potential is allowed to vary in the interval 0.446 < ξ < 0.646. The reason for electing this range of values for ξ, obeys the fact that this has been the range commonly employed in the literature.…”

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confidence: 99%

Orbital Radius of a Hydrogen-Like Meson in S-, P- And D-States

Ávila

1999

Mod. Phys. Lett. A

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Radial probability density function of a heavy quark-light quark (Q,q) system in the states S, P and D, is studied numerically. It is found that the maximum of this function at r = a 0 and the light quark energy (Eq) are related through Eq(, where l is the orbital angular momentum, Z = 0.446/ξ, and ξ is the strength of the color Coulomb potential. Phenomenology predicts that to difference of the hydrogen atom of QED, the "color atomic number" is such that Z ≤ 1. This can be thought of as due to an anti-screening effect from the gluons. The respective expectation value for the radial coordinate in these states is found to beThese results are valid for ξ in the range 0.446 < ξ < 0.646 and a light quark mass in the range 0 < m < 300 MeV. The above relations coincide with the maximum value of the slope of the Isgur-Wise at zero recoil point in the following way ξ (1)max = − 5 6 = − 1 − l 2 (l + 1) 2 ξ + l 4 (l + 1) 4 ξ 2 a 0 r .The relations found in the present work imply that ξ (1) = − 1 2 − Z 2 3 r 2 a 2 0 , from which we argue that the value of ξ (1) is very sensitive to the color Coulomb-like interaction U = −ξ/r.As is well known the radial probability density function ρ(r) = r 2 |ψ| 2 , associated to a hydrogen-like atom has a maximum located at r = n 2 a 0 , where a 0 is inversely proportional to the mass of the electron moving around the nucleus. a The respective expectation value for the radial coordinate is r = 1 2Z [3n 2 − l(l + 1)]a 0 . The "similarity" between the hydrogenlike atom and the heavy quark-light quark (Q,q) system, leads us naturally to ask if the radial probability density function, ρ(r) associated to a (Q,q) system behaves in a similar fashion to the function ρ(r) associated to the hydrogen atom of QED. In order to answer this question, we must note that the interaction present in a (Q,q) system, is more complicated than the * E-mail: manuel@servm.fc.uaem.mx a The number a 0 is known as the Bohr radius and its value is a 0 = 1/(mee 2 ) = 0.5Å = 2.5 × 10 −5 GeV −1 .2059 Mod. Phys. Lett. A 1999.14:2059-2072. Downloaded from www.worldscientific.com by UNIVERSITY OF ILLINOIS AT URBANA CHAMPAIGN on 03/10/15. For personal use only.

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Covariant description of hydrogenlike mesons

Cited by 11 publications

References 23 publications

Light-cone wave function approach to open heavy flavor dynamics in QCD matter

Light-cone wave function approach to open heavy flavor dynamics in QCD matter

Collisional dissociation of heavy mesons in dense QCD matter

Orbital Radius of a Hydrogen-Like Meson in S-, P- And D-States

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