On the Fractional Quark-Antiquark Confinement and Symplectic Quantum Mechanics
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arXiv
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| Hauptverfasser: | , , , , |
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| Format: | Preprint |
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2023
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| author | Abu-Shady, M. Luz, R. R. Petronilo, G. X. A. Santana, A. E. Amorim, R. G. G. |
| author_facet | Abu-Shady, M. Luz, R. R. Petronilo, G. X. A. Santana, A. E. Amorim, R. G. G. |
| contents | Using the formalism of generalized fractional derivatives, a two-dimensional non-relativistic meson system is studied. The mesons are interacting by a Cornell potential. The system is formulated in the domain of the symplectic quantum mechanics by means of the generalized fractional Nikiforov-Uvarov method. The corresponding Wigner function and the energy eigenvalues are then derived. The effect of fractional parameters $α$ and $β$ with the ground state solution is analyzed through the Wigner function for the charm-anticharm, bottom-antibottom and $b\overline{c}$ mesons. One of the fundamental achievements of such Cornell model is the determination of heavy quarkonia mass spectra. We have computed these masses and the |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2310_18810 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | On the Fractional Quark-Antiquark Confinement and Symplectic Quantum Mechanics Abu-Shady, M. Luz, R. R. Petronilo, G. X. A. Santana, A. E. Amorim, R. G. G. High Energy Physics - Phenomenology Nuclear Theory Using the formalism of generalized fractional derivatives, a two-dimensional non-relativistic meson system is studied. The mesons are interacting by a Cornell potential. The system is formulated in the domain of the symplectic quantum mechanics by means of the generalized fractional Nikiforov-Uvarov method. The corresponding Wigner function and the energy eigenvalues are then derived. The effect of fractional parameters $α$ and $β$ with the ground state solution is analyzed through the Wigner function for the charm-anticharm, bottom-antibottom and $b\overline{c}$ mesons. One of the fundamental achievements of such Cornell model is the determination of heavy quarkonia mass spectra. We have computed these masses and the |
| title | On the Fractional Quark-Antiquark Confinement and Symplectic Quantum Mechanics |
| topic | High Energy Physics - Phenomenology Nuclear Theory |
| url | https://arxiv.org/abs/2310.18810 |