Hyperfine meson splittings: chiral symmetry versus transverse gluon exchange

Llanes-Estrada, Felipe J.; Cotanch, Stephen R.; Szczepaniak, Adam P.; Swanson, Eric S.

doi:10.1103/physrevc.70.035202

Cited by 47 publications

(79 citation statements)

References 39 publications

(70 reference statements)

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“…This approach dynamically generates constituent gluon and quark masses [while respecting chiral symmetry [19,20] ], produces reasonable quark and gluon condensates, describes flavored meson spectra, including hyperfine splittings [21], and predicts exotic hybrids [22] and C 1 glueballs [4,16] consistent with lattice gauge results. Also noteworthy, this formulation entails only two dynamical parameters (same for both quark and glue sectors).…”

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confidence: 61%

J--Glueballs and a Low Odderon Intercept

Llanes-Estrada

Bicudo²,

Cotanch

2006

Phys. Rev. Lett.

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We report an odderon Regge trajectory emerging from a field theoretical Coulomb gauge QCD model for the odd signature J PC (P C ÿ1) glueball states. The trajectory intercept is clearly smaller than the Pomeron and even the ! trajectory's intercept which provides an explanation for the nonobservation of the odderon in high energy scattering data. To further support this result we compare to glueball lattice data and also perform calculations with an alternative model based upon an exact Hamiltonian diagonalization for three constituent gluons. DOI: 10.1103/PhysRevLett.96.081601 PACS numbers: 11.55.Jy, 12.39.Mk, 12.39.Pn, 12.40.Yx Regge trajectories [1] have long been an effective phenomenological tool in hadronic physics. In Regge theory the scattering amplitude is governed by Regge poles, n s , in the complex J (angular momentum) plane. For integer J the amplitude has a pole in the complex s plane and, by crossing symmetry, for t < 0 at high s the cross section is dominated by the Regge trajectory, t bt 0 , with the largest intercept, 0 . This conjecture provides a unifying connection between hadron spectroscopy (Chew-Frautschi plot of J versus t M 2 J ) and the high energy behavior of the total cross section which scales as s 0 ÿ1 . For elastic scattering the energy dependence is well described by the leading Regge trajectory, the Pomeron, having P 0 1 and b P 0:2-0:3 GeV ÿ2 [for recent fits see Ref.[2] ]. Of course the Pomeron does not relate to conventional hadron spectra since meson trajectories typically have larger slopes, b M 0:9 GeV ÿ2 , and smaller intercepts, M 0 0:55. According to the glueball-Pomeron conjecture [3,4], supported by lattice [5] and other models [6], this trajectory is instead connected to glueball spectroscopy. The different Pomeron and meson trajectory slopes can be generated [4] by the gg and q q color factors, respectively, used in confining 2-body models. Because of the large gluon mass gap, which suppresses relativistic corrections and transverse gluon exchange [7], these models tend to be more robust for glueballs than mesons. They produce a Pomeron consisting of even signature J glueballs having maximum intrinsic spin S coupled to minimum possible orbital L.Of active interest is the odd signature, P C ÿ1 counterpart to the Pomeron, the odderon [8], for which there is no firm experimental evidence. Whereas the Pomeron predicts asymptotically equal pp and pp cross sections, the competitive presence of the odderon or any other C ÿ1 trajectory would produce a difference. However, high energy measurements reveal a minimal difference indicating that the odderon, if it exists, would have a smaller intercept probably at most comparable to the ! value, ! 0 0:5. Indeed, dedicated exclusive searches at HERA [9] exclude an odderon Regge trajectory with an intercept greater than 0.7. Although perturbative QCD calculations [10] based on the BKP equation predict an odderon intercept close to 1, they are only reliable for both s; ÿt QCD and thus suspect for t 0 . For example, the predicted ...

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confidence: 61%

J--Glueballs and a Low Odderon Intercept

Llanes-Estrada

Bicudo²,

Cotanch

2006

Phys. Rev. Lett.

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“…This follows from the Hermiticity of the QCD Hamiltonian [4], that implies orthogonality between different wave functions. Figure 1 is a realization of Çð5SÞ wave function [candidate b " b assignment for Çð10 860Þ] in a model approximation to Coulomb gauge QCD [5]. One clearly sees the four zeros of the 5S excitation, beautifully exploited in other areas such as nuclear physics [6].…”

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confidence: 99%

“…The Á A term in the first line is reduced to a transverse potential between quark sources (of Yukawa type) as explained in [5] …”

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confidence: 99%

Heavy Quark Fluorescence

Torres-Rincón

Llanes-Estrada²

2010

Phys. Rev. Lett.

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Heavy hadrons containing heavy quarks (for example, Ç mesons) feature a scale separation between the heavy-quark mass and the QCD scale that controls the effective masses of lighter constituents. As in ordinary molecules, the deexcitation of the lighter, faster degrees of freedom leaves the velocity distribution of the heavy quarks unchanged, populating the available decay channels in qualitatively predictable ways. Automatically an application of the Franck-Condon principle of molecular physics explains several puzzling results of Çð5SÞ decays as measured by the Belle Collaboration, such as the high rate of B The Franck-Condon principle [1] is essential in understanding fluorescence in the decay of excited molecules. It states that, during an electronic transition, the electron orbital relaxes to the ground state in a time too short for the nuclei to react. Hence, the wave function associated with the motion of the nuclei remains the same after the transition. Since the ground-state wave functions of this motion in the two electronic adiabatic potentials (before and after the transition) are unequal, the nuclei remain in a superposition of excited states, resulting in secondary transitions (efficiently degrading excitation energy).While the Born-Oppenheimer approximation from molecular physics has already been studied for decades in the context of particle physics, we have only recently understood [2] the relevance of the Franck-Condon principle here. The key is its usefulness in analyzing open-flavor decays of heavy hadrons. Such decays are characterized by the heavy quarks from the initial hadron streaming away in separate hadrons. We take as an example the newly analyzed Çð10 860Þ ! B " B, B " B . . . decays. The momentum of the heavy quark inside the heavy hadron k b follows a quantum-mechanical probability distribution that depends on the wave function of the state. This wave function accepts a decomposition in an appropriately chosen quark-gluon basis, for example jÇi. . . One of the salient problems of hadron physics nowadays is to determine the functions i , whose size characterizes whether a state is ''mostly a quarkonium'' or otherwise. Characteristic of pure (excited) quarkonia is the presence of Sturm-Liouville zeros in the momentum distribution [3]. This follows from the Hermiticity of the QCD Hamiltonian [4], that implies orthogonality between different wave functions. Figure 1 We have divided the experimental data by known spin, isospin, and phase-space factors so it can be directly compared to the square of the top panel wave function (solid line) or to the wave function folded with a complete 3 P 0 decay-model (dashed line), that gives us an idea of the errors of order Ã QCD =m b involved in a naive application of the Franck-Condon principle.

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“…In addition, residual interactions derived from perturbative one-gluon exchange (OGE) are added to describe spin-dependent hadron mass splittings. In this Section we show how such a constituent quark model can be derived [6] from an underlying Hamiltonian that confines color and realizes DχSB [5]. We also discuss a calculation scheme for building hadron states in a Fock space, in close analogy to the nonrelativistic quark model.…”

Section: Dynamical Chiral Symmetry Breaking and A Constituent Quark Mmentioning

confidence: 99%

“…The model is based on a field theoretic Hamiltonian that confines color and realizes DχSB [5]. Color confinement and DχSB are supposedly the most prominent nonperturbative effects in QCD, and are thought to be responsible for the properties of the structure and interactions of hadrons at low energies.…”

Section: Introductionmentioning

confidence: 99%

Study of the $\bar{D}$NInteraction in a QCD Coulomb Gauge Quark Model

Fontoura

Krein

Vizcarra

2010

EPJ Web of Conferences

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Abstract. We study theDN interaction at low energies with a quark model inspired in the QCD Hamiltonian in Coulomb gauge. The model Hamiltonian incorporates a confining Coulomb potential extracted from a self-consistent quasiparticle method for the gluon degrees of freedom, and transverse-gluon hyperfine interaction consistent with a finite gluon propagator in the infrared. Initially a constituent-quark mass function is obtained by solving a gap equation and baryon and meson bound-states are obtained in Fock space using a variational calculation. Next, having obtained the constituent-quark masses and the hadron waves functions, an effective meson-nucleon interaction is derived from a quark-interchange mechanism. This leads to a short range mesonbaryon interaction and to describe long-distance physics vector-and scalar-meson exchanges described by effective Lagrangians are incorporated. The derived effectiveDN potential is used in a Lippmann-Schwinger equation to obtain phase shifts. The results are compared with a recent similar calculation using the nonrelativistic quark model.

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Hyperfine meson splittings: chiral symmetry versus transverse gluon exchange

Cited by 47 publications

References 39 publications

J--Glueballs and a Low Odderon Intercept

J--Glueballs and a Low Odderon Intercept

Heavy Quark Fluorescence

Study of the $\bar{D}$NInteraction in a QCD Coulomb Gauge Quark Model

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