Determination of the mass spectrum of quarkonia by the Nikiforov–Uvarov method

Maksimenko, N. V.; Kuchin, S. M.

doi:10.1007/s11182-011-9579-2

Cited by 31 publications

(28 citation statements)

References 10 publications

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“…Several potentials such as the exponential-type including the Hulthén-, Manning-Rosen-, Woods-Saxon-, and Eckarttype potentials are also currently being investigated by several researchers. Among the particularly interesting potentials which play an important role in the quarkantiquark bound states include the so-called Cornell potential and a mixture of it with the harmonic oscillator potential and Morse potential as discussed in [6][7][8][9][10].…”

Section: Introductionmentioning

confidence: 99%

Bound State Solution Schrödinger Equation for Extended Cornell Potential at Finite Temperature

Ahmadov

Abasova

Orucova

2021

Advances in High Energy Physics

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In this paper, we study the finite temperature-dependent Schrödinger equation by using the Nikiforov-Uvarov method. We consider the sum of the Cornell, inverse quadratic, and harmonic-type potentials as the potential part of the radial Schrödinger equation. Analytical expressions for the energy eigenvalues and the radial wave function are presented. Application of the results for the heavy quarkonia and B c meson masses are in good agreement with the current experimental data except for zero angular momentum quantum numbers. Numerical results for the temperature dependence indicates a different behaviour for different quantum numbers. Temperature-dependent results are in agreement with some QCD sum rule results from the ground states.

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Section: Introductionmentioning

confidence: 99%

Bound State Solution Schrödinger Equation for Extended Cornell Potential at Finite Temperature

Ahmadov

Abasova

Orucova

2021

Advances in High Energy Physics

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“…Different analytical techniques have been employed by many researchers for solving Schrödinger equation with physically motivated potentials. These methods include Nikiforov-Uvraov (NU) method [16][17][18], asymptotic iteration method (AIM) [19][20], shape invariance [1][2][3], SUSYQM [1][2][3][4], factorization method [21], and others [22][23].…”

Section: Introductionmentioning

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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“…We found that our work gives better results in comparison with experimental data. In [20,21,28,29], the authors used the same method and the same potential when = 0. We noticed that our work is in better agreement with the experimental data.…”

Section: Resultsmentioning

confidence: 99%

Bound State of Heavy Quarks Using a General Polynomial Potential

Mansour

Gamal

2018

Advances in High Energy Physics

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In the present work, the mass spectra of the bound states of heavy quarks cc-,bb-, and Bc meson are studied within the framework of the nonrelativistic Schrödinger’s equation. First, we solve Schrödinger’s equation with a general polynomial potential by Nikiforov-Uvarov (NU) method. The energy eigenvalues for any L- value is presented for a special case of the potential. The results obtained are in good agreement with the experimental data and are better than previous theoretical studies.

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Determination of the mass spectrum of quarkonia by the Nikiforov–Uvarov method

Cited by 31 publications

References 10 publications

Bound State Solution Schrödinger Equation for Extended Cornell Potential at Finite Temperature

Bound State Solution Schrödinger Equation for Extended Cornell Potential at Finite Temperature

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

Bound State of Heavy Quarks Using a General Polynomial Potential

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