Thermodynamic properties of heavy mesons in strongly coupled quark gluon plasma using the fractional of non-relativistic quark model

Abu‐Shady, M.; Ezz-Alarab, Sh. Y.

doi:10.1007/s12648-023-02695-y

Cited by 2 publications

(3 citation statements)

References 43 publications

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“…In section 3, we have obtained the energy eigenvalue and wave function in the fractional forms as in Eqs. (37) and (41). We have obtained the results of Ref.…”

Section: Numerical Results and Discussionmentioning

confidence: 97%

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Approximate bound state solutions of the fractional Schr\"{o}dinger equation under the spin-spin-dependent Cornell potential

Omugbe,

Abu-Shady,

Inyang

2024

J. Nig. Soc. Phys. Sci.

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In this work, the approximate bound state solutions of the fractional Schr\"{o}dinger equation under a spin-spin-dependent Cornell potential are obtained via the convectional Nikiforov-Uvarov approach. The energy spectra are applied to obtain the mass spectra of the heavy mesons such as bottomonium, charmonium and bottom-charm. The masses for the singlet and triplet spin numbers increase as the quantum numbers increase. The fractional Schr\"{o}dinger equation improves the mass spectra compared to other theoretic masses. The bottomonium masses agree with the experimental results where percentage errors for fractional parameters of $\beta =1,\alpha =0.97$ and $\beta =1,\alpha =0.50$ were found to be 0.67\% and 0.49\% respectively. The respective percentage errors of 1.97\% and 1.62\% for fractional parameters of $\beta =1,\alpha =0.97$ and $\beta =1,\alpha =0.50$ were obtained for charmonium meson. The results indicate that the potential curves coupled with the fractional parameters account for the short-range gluon exchange between the quark-antiquark interactions and the linear confinement phenomena which is associated with the quantum chromo-dynamic and phenomenological potential models in particle and high-energy physics.

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“…In section 3, we have obtained the energy eigenvalue and wave function in the fractional forms as in Eqs. (37) and (41). We have obtained the results of Ref.…”

Section: Numerical Results and Discussionmentioning

confidence: 97%

“…The idea of fractional calculus has recently attracted a lot of interest in a number of physics fields that deal with complex nonlinear events [37][38][39][40][41]. In these studies, the conformable fractional derivative was used in conjunction with the NU approach to effectively solve the fractional SE.…”

Section: The Generalized Fractional Derivativementioning

confidence: 99%

Approximate bound state solutions of the fractional Schr\"{o}dinger equation under the spin-spin-dependent Cornell potential

Omugbe,

Abu-Shady,

Inyang

2024

J. Nig. Soc. Phys. Sci.

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“… 45 . In the scope of the GFD, the analytical exact iteration method was used to analyze the thermodynamic properties of heavy mesons in strongly coupled quark-gluon plasma 46 . In Ref.…”

Section: Introductionmentioning

confidence: 99%

A precise estimation for vibrational energies of diatomic molecules using the improved Rosen–Morse potential

Abu‐Shady

Khokha²

2023

Sci Rep

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In the context of the generalized fractional derivative, novel solutions to the D-dimensional Schrödinger equation are investigated via the improved Rosen-Morse potential (IRMP). By applying the Pekeris-type approximation to the centrifugal term, the generalized fractional Nikiforov-Uvarov method has been used to derive the analytical formulations of the energy eigenvalues and wave functions in terms of the fractional parameters in D-dimensions. The resulting solutions are employed for a variety of diatomic molecules (DMs), which have numerous uses in many fields of physics. With the use of molecular parameters, the IRMP is utilized to reproduce potential energy curves for numerous DMs. The pure vibrational energy spectra for several DMs are determined using both the fractional and the ordinary forms to demonstrate the effectiveness of the method utilized in this work. As compared to earlier investigations, it has been found that our estimated vibrational energies correspond with the observed Rydberg-Klein-Rees (RKR) data much more closely. Moreover, it is observed that the vibrational energy spectra of different DMs computed in the existence of fractional parameters are superior to those computed in the ordinary case for fitting the observed RKR data. Thus, it may be inferred that fractional order significantly affects the vibrational energy levels of DMs. Both the mean absolute percentage deviation (MAPD) and average absolute deviation (AAD) are evaluated as the goodness of fit indicators. According to the estimated AAD and MAPD outcomes, the IRMP is an appropriate model for simulating the RKR data for all of the DMs under investigation.

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Thermodynamic properties of heavy mesons in strongly coupled quark gluon plasma using the fractional of non-relativistic quark model

Cited by 2 publications

References 43 publications

Approximate bound state solutions of the fractional Schr\"{o}dinger equation under the spin-spin-dependent Cornell potential

Approximate bound state solutions of the fractional Schr\"{o}dinger equation under the spin-spin-dependent Cornell potential

A precise estimation for vibrational energies of diatomic molecules using the improved Rosen–Morse potential

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