Charmonium Spectrum and Their Transitions in Relativistic Quark Models

Bhaghyesh,; Kumar, Kuldeep

doi:10.1088/0253-6102/55/6/19

Cited by 3 publications

(3 citation statements)

References 28 publications

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“…Theoretically, there have been many X, Y and Z investigations using a variety of methods, such as perturbative NRQCD [9,10], lattice QCD [11,12], effective field theory [13,14,15], QCD sum rule [16,17] and potential models [18,19,20,21], all reviewed in detail elsewhere [22,23]. One plausible conjecture [24,25,26] is these states are tetraquarks containing light, q = u or d, and charm, c, quarks in different color schemes.…”

Section: +97mentioning

confidence: 99%

Coulomb gauge model for hidden charm tetraquarks

Xie

Wang

et al. 2013

Physics Letters B

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The spectrum of tetraquark states with hidden charm is studied within an effective Coulomb gauge Hamiltonian approach. Of the four independent color schemes, two are investigated, the (qc) 1 (cq) 1 singlet-singlet (molecule) and the (qc) 3 (qc) 3 triplettriplet (diquark), for selected J P C states using a variational method. The predicted masses of triplet-triplet tetraquarks are roughly a GeV heavier than the singletsinglet states. There is also an interesting flavor dependence with (qq) 1 (cc 1 ) states about half a GeV lighter than (qc) 1 (qc) 1 . The lightest 1 ++ and 1 −− predictions are in agreement with the observed X(3872) and Y (4008) masses suggesting they are molecules with ωJ/ψ and ηh c , rather than D * D * and DD, type structure, respectively. Similarly, the lightest isovector 1 ++ molecule , having a ρJ/ψ flavor composition, has mass near the recently observed charged Z c (3900) value. These flavor configurations are consistent with observed X, Y and Z c decays to ππJ/ψ.

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Section: +97mentioning

confidence: 99%

Coulomb gauge model for hidden charm tetraquarks

Xie

Wang

et al. 2013

Physics Letters B

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“…We recall that a simplified Dirac-Coulomb equation was proposed for atomic systems [37]. A Dirac harmonic oscillator shell model with spin-symmetry was also used to study quark-antiquark spectroscopy [38]. The reduction of this work is mainly oriented to the study of few-body hadronic systems and avoids from the beginning the CDP.…”

Section: Context and Aim Of The Workmentioning

confidence: 99%

A local reduction of the Dirac equation applied to the study of quark interactions

De Sanctis

2021

Preprint

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A general procedure of local reduction for the Dirac equation is introduced to study one-and n-body interacting systems. In the one-body case we show that the reduction allows for an approximate solution of the Dirac equation, correlating the upper and the lower components of the wave function. The two-body case is studied in more detail. We show that the method prevents from introducing spurious, unphysical states. The reduction is also applied to another relativistic equation. Finally, the method is used to construct a specific model in order to study the Charmonium spectrum.

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“…These QCD inspired potential models use a short range part motivated by perturbative QCD (Coulomb like or one gluon exchange potential) [20,[22][23][24][25][26][27][28][29][30] and a phenomenological long range part accounting for confinement (i.e. linear, logarithmic or quadratic potential) [31][32][33][34][35][36][37][38]. Our Model uses the NRQM formalism for the study of low lying charmonium states using a Hamiltonian which has the heavy quark potential from the instanton vacuum depending on r, the inter quark distance.…”

Section: Introductionmentioning

confidence: 99%

Properties of Charmonium States in a Phenomenological Approach

D'Souza¹,

Monteiro²,

Kumar³

2019

Commun. Theor. Phys.

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We investigate the spectrum and decay rates of low lying charmonium states within the framework of the non relativistic quark model by employing a Coulomb like potential from the perturbative one gluon exchange and the linear confining potential along with the potential derived from instanton vacuum to account for the hyperfine mass splitting of charmonium states in variational approach. We predict radiative E1, M1, two-photon, leptonic and two-gluon decay rates of low lying charmonium states. An overall agreement is obtained with the experimental masses and decay widths.

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Charmonium Spectrum and Their Transitions in Relativistic Quark Models

Cited by 3 publications

References 28 publications

Coulomb gauge model for hidden charm tetraquarks

Coulomb gauge model for hidden charm tetraquarks

A local reduction of the Dirac equation applied to the study of quark interactions

Properties of Charmonium States in a Phenomenological Approach

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