تقرير
On the Fractional Quark-Antiquark Confinement and Symplectic Quantum Mechanics
| العنوان: | On the Fractional Quark-Antiquark Confinement and Symplectic Quantum Mechanics |
|---|---|
| المؤلفون: | Abu-Shady, M., Luz, R. R., Petronilo, G. X. A., Santana, A. E., Amorim, R. G. G. |
| سنة النشر: | 2023 |
| المجموعة: | High Energy Physics - Phenomenology Nuclear Theory |
| مصطلحات موضوعية: | High Energy Physics - Phenomenology, Nuclear Theory |
| الوصف: | 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 $\alpha$ and $\beta$ 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 Comment: 11 pages, 3 figures |
| نوع الوثيقة: | Working Paper |
| URL الوصول: | http://arxiv.org/abs/2310.18810 |
| رقم الأكسشن: | edsarx.2310.18810 |
| قاعدة البيانات: | arXiv |
| الوصف غير متاح. |