Heavy quarkonia in a potential model: binding energy, decay width, and survival probability

Srivastava, P. K.; Chaturvedi, O. S. K.; Thakur, Lata

doi:10.1140/epjc/s10052-018-5912-z

Cited by 13 publications

(9 citation statements)

References 54 publications

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“…As a general remark, we note that the obtained spectrum is similar to the results of nonrelativistic and semirelativistic calculations [43][44][45][46][47][48][49][50][51][52][53][54][55][56]. In this concern, it can be argued that the high value of the bottom quark mass tends to reduce the relativistic effects with respect, for example, to the charmonium case.…”

Section: Bottomonium Spectrumsupporting

confidence: 78%

Bottomonium spectrum with a Dirac potential model in the momentum space

et al. 2020

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We study the bottomonium spectrum using a relativistic potential model in the momentum space. This model is based on a complete one gluon exchange interaction with a momentum dependent screening factor to account for the effects due to virtual pair creation that appear close to the decay thresholds. The overall model does not make use of nonrelativistic approximations. We fit well established bottomonium states below the open bottom threshold and predict the rest of the spectrum up to ≈ 11200 MeV and J PC = 3 −−. Uncertainties are treated rigorously and propagated in full to the parameters of the model using a Monte Carlo to identify if which deviations from experimental data can be absorbed into the statistical uncertainties of the models and which can be related to physics beyond the bb picture, guiding future research. We get a good description of the spectrum, in particular the Belle measurement of the η b (2S) state and the Υ (10860) and χ b (3P) resonances.

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Section: Bottomonium Spectrumsupporting

confidence: 78%

Bottomonium spectrum with a Dirac potential model in the momentum space

et al. 2020

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“…So far no attempts to solve quarkonium potential using SUSYQM was reported Refs. [4][5][6][7][8][9][10][38][39][40][41][42][43][44][45][46][47][48][49][50][51][52][53][54][55].…”

Section: Discussionmentioning

confidence: 99%

“…Also, the present of 1S state of bottomonium is an agreement with Refs. [54,55], in which the calculations are achieved in hot medium only.…”

Section: In Fig (4) the Binding Energy Of 1s State Of Bottomonium Is ...mentioning

confidence: 99%

Analytic solution of multi-dimensional Schrödinger equation in hot and dense QCD media using the SUSYQM method

Abu‐Shady

Ikot

2019

Eur. Phys. J. Plus

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The N-radial Schrödinger equation is analytically solved by using SUSYQM method, in which the heavy quarkonia potential is introduced at finite temperature and baryon chemical potential. The energy eigenvalue is calculated in the N-dimensional space. The obtained results show that the binding energy strongly decreases with increasing temperature and is slightly sensitive for changing baryon chemical potential up to 0.6 GeV at higher values of temperatures. We employed the nonperturbative corrections to the leading-order of the Debye mass at finite baryon chemical potential. We found that the binding energy is more dissociates when the nonperturbative corrections are included with the leading-order term of Debye mass in both hot and dense media. A comparison is discussed with other works such as the lattice parameterized of Debye mas. Thus, the present potential with the SUSYQM method provides satisfying results for the description of the dissociation of binding energy for heavy quarkonia in hot and dense media.

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“…In Refs. [6,29,31] , the authors found that the bottomonium melts above the critical temperature. In Ref.…”

Section: Discussion Of Resultsmentioning

confidence: 99%

Quarkonium masses in a hot QCD medium using conformable fractional of the Nikiforov–Uvarov method

Abu‐Shady

2019

Int. J. Mod. Phys. A

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By using conformable fractional of the Nikiforov-Uvarov (CF-NU) method, the radial Schrödinger equation is analytically solved. The energy eigenvalues and corresponding functions are obtained, in which the dependent temperature potential is employed. The effect of fraction-order parameter is studied on heavy-quarkonium masses such as charmonium and bottomonium in a hot QCD medium in the 3D and the higher dimensional space. A comparison is studied with recent works.We conclude that the fractional-order plays an important role in a hot QCD medium in the 3D and higher-dimensional space.

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Heavy quarkonia in a potential model: binding energy, decay width, and survival probability

Cited by 13 publications

References 54 publications

Bottomonium spectrum with a Dirac potential model in the momentum space

Bottomonium spectrum with a Dirac potential model in the momentum space

Analytic solution of multi-dimensional Schrödinger equation in hot and dense QCD media using the SUSYQM method

Quarkonium masses in a hot QCD medium using conformable fractional of the Nikiforov–Uvarov method

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