scholarly journals Mass spectra and Radiative transitions of heavy quarkonia and $b \bar c$ mesons

2014 ◽  
Author(s):  
Jignesh N. Pandya ◽  
Ajay Kumar Rai ◽  
Pothodi Chackara Vinodkumar
Keyword(s):  
Mass Spectra ◽  
Heavy Quarkonia ◽  
Radiative Transitions

scholarly journals Mass spectra and radiative transitions of doubly heavy baryons in a relativized quark model

2017 ◽  
Vol 96 (11) ◽  
Author(s):  
Qi-Fang Lü ◽  
Kai-Lei Wang ◽  
Li-Ye Xiao ◽  
Xian-Hui Zhong
Keyword(s):  
Quark Model ◽  
Mass Spectra ◽  
Radiative Transitions ◽  
Heavy Baryons

An approach to heavy quarkonium spectra

2014 ◽  
Vol 29 (32) ◽  
pp. 1450170 ◽  
Author(s):  
Y. Cançelik ◽  
B. Gönül
Keyword(s):  
Eigenvalue Problem ◽  
Coulomb Potential ◽  
Mass Spectra ◽  
Bound State ◽  
Considerable Effect ◽  
Heavy Quarkonia ◽  
Heavy Quarkonium ◽  
Related Literature ◽  
Exactly Solvable ◽  
Math Phys

An application of the recently introduced method [M. Çapak et al., J. Math. Phys. 52, 102102 (2011)] to the bound-state eigenvalue problem in the elementary quarkonium potential V(r) = -a/r + br + cr2 is described, proved and illustrated for [Formula: see text] and [Formula: see text] systems. The quasi- and conditionally-exactly solvable spin-averaged mass spectra of heavy quarkonia are obtained in compact forms. The comparison of the present predictions with those of other theories in the related literature, together with the available data, has shown the success of the model used in this work and also revealed that the use of different confinings in the perturbed Coulomb potential descriptions has no considerable effect on the mass spectra of such systems.

scholarly journals SPECTRA OF QUARKONIA AT FINITE TEMPERATURE

2006 ◽  
Vol 21 (17) ◽  
pp. 1383-1391 ◽  
Author(s):  
D. U. MATRASULOV ◽  
F. C. KHANNA ◽  
KH. T. BUTANOV ◽  
KH. YU. RAKHIMOV
Keyword(s):  
Finite Temperature ◽  
Mass Spectra ◽  
Potential Model ◽  
Heavy Quarkonia ◽  
Temperature Spectra

Finite-temperature spectra of heavy quarkonia are calculated by combining potential model and thermofield dynamics formalisms. The mass spectra of the heavy quarkonia with various quark contents are calculated. It is found that binding mass of the quarkonium decreases as temperature increases.

scholarly journals Heavy quarkonia properties from a hard-wall confinement potential model with conformal symmetry perturbing effects

2019 ◽  
Vol 34 (37) ◽  
pp. 1950307 ◽  
Author(s):  
Ahmed Al-Jamel
Keyword(s):  
Mass Spectra ◽  
Potential Model ◽  
Conformal Symmetry ◽  
Heavy Quarkonia ◽  
Heavy Flavor ◽  
Hard Wall ◽  
Theoretical Approaches ◽  
Radial Schrödinger Equation ◽  
Uvarov Method ◽  
Good Agreement

Heavy [Formula: see text] and [Formula: see text] quarkonia are considered as systems confined within a hard-wall potential shaped after a linear combination of a cotangent — with a square co-secant function. Wave functions and energy spectra are then obtained in closed forms in solving by the Nikiforov–Uvarov method the associated radial Schrödinger equation in the presence of a centrifugal term. The interest in this potential is that in one parametrization, it can account for a conformal symmetry of the strong interaction, and in another for its perturbation, a reason for which we here employ it to study status of conformal symmetry in the heavy flavor sector. The resulting predictions on heavy quarkonia mass spectra and root mean square radii are compared with the available experimental data, as well as with predictions by other theoretical approaches. We observe that a relatively small conformal symmetry perturbing term in the potential suffices to achieve good agreement with data.

scholarly journals Annihilation rates of 3D2(2−−) and 3D3(3−−) heavy quarkonia

2017 ◽  
Vol 32 (06n07) ◽  
pp. 1750035 ◽  
Author(s):  
Tianhong Wang ◽  
Hui-Feng Fu ◽  
Yue Jiang ◽  
Qiang Li ◽  
Guo-Li Wang
Keyword(s):  
Excited States ◽  
Mass Spectra ◽  
Decay Rates ◽  
Wave Functions ◽  
Heavy Quarkonia ◽  
Relativistic Corrections ◽  
Quantum Numbers

We calculate the annihilation decay rates of the [Formula: see text] and [Formula: see text] charmonia and bottomonia by using the instantaneous Bethe–Salpeter (BS) method. The wave functions of states with quantum numbers [Formula: see text] and [Formula: see text] are constructed. By solving the corresponding instantaneous BS equations, we obtain the mass spectra and wave functions of the quarkonia. The annihilation amplitude is written within Mandelstam formalism and the relativistic corrections are taken into account properly. This is important, especially for high excited states, since their relativistic corrections are large. The results for the [Formula: see text] channel are as follows: [Formula: see text] keV, [Formula: see text] keV, [Formula: see text] keV and [Formula: see text] keV.

THE STRATEGIC 1P1 STATES OF HEAVY QUARKONIA

1992 ◽  
Vol 07 (38) ◽  
pp. 3527-3539 ◽  
Author(s):  
S.F. TUAN
Keyword(s):  
Mass Spectrum ◽  
Preliminary Data ◽  
Mass Spectra ◽  
Branching Ratio ◽  
Current Situation ◽  
Decay Rates ◽  
Heavy Quarkonia ◽  
Straightforward Manner ◽  
Crystal Ball ◽  
The Status

In this brief review, we examine carefully and critically the status of search for (i) the ψ(11P1) charmonium state and (ii) the ϒ(11P1) state of bottonium. We wish to emphasize in particular that the strategic debate between Kuang-Yan and Voloshin concerning the size of the branching ratio for the transition ϒ(3S)→ϒ(11P1)ππ and the reality of the ISR events for the existence of ψ(11P1) in charmonium can be resolved in a more straightforward manner by (iii) measuring the decay rates ϒ(1D, 2D)→ϒππ and ψ(3770)→J/ψππ together with the amount of S-D mixing in the ψ′(3684)−ψ″(3770) system. Preliminary data are already available from Crystal Ball, Mark II and Mark III experiments concerning ψ″(3770)→J/ψππ rate supportive of Kuang-Yan. We also discuss the current situation in ϒ(3S)→ϒ(1S, 2S)ππ dipion mass spectra, in the context of the expected mass spectrum for ϒ(3S)→ϒ(11P1)ππ.

The search for fractional order in heavy quarkonia spectra

2019 ◽  
Vol 34 (10) ◽  
pp. 1950054 ◽  
Author(s):  
Ahmed Al-Jamel
Keyword(s):  
Fractional Order ◽  
Mass Spectra ◽  
Dimensional Space ◽  
Heavy Quarkonia ◽  
Eigenvalues And Eigenfunctions ◽  
Energy Eigenvalues ◽  
Dimension Formula ◽  
Fractional Models ◽  
Uvarov Method ◽  
Exact Energy

Using the concept of conformable fractional derivative, we study the properties of fractional [Formula: see text]-dimensional Schrödinger equation for the potential [Formula: see text]. The extended Nikiforov–Uvarov method is generalized to the fractional domain and then employed to obtain the analytic exact energy eigenvalues and eigenfunctions and their dependence on the fractional order [Formula: see text] and the dimension [Formula: see text]. To test its applicability, we apply the method on heavy quarkonia systems, and reproduce their mass spectra and fractional radial probabilities at different values of [Formula: see text] and [Formula: see text]. Comparing the mass spectra with the experimental data, we discuss to what extent fractional models can account for some features in the description of heavy quarkonia at certain dimensional space.

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