Abstract
We consider the scaling of the Schrödinger equation in order to explicitly compute the energy density levels for a specific class of potentials. The resulting eigenvalues spectrum is compared to the heavy quarks mesons spectroscopy, showing at least for the heavier case _ an excellent agreement with the experimental data.
Keywords
Array
Array
References
Barnes, T. 2006. The XYZs of charmonium at BES, International Journal of Modern Physics A, 21(27), pp. 5583-5591. https://doi.org/10.1142/S0217751X0603477X
Bender, C. M., Olaussen, K. & Wang, P. S. 1977. Numerological analysis of the WKB approximation in large order, Physical Review D, 16(6), pp. 1740.
Fabiano, N. 1998. Top Mesons, The European Physical Journal C-Particles and Fields, 2(2), pp. 345-350.
Fabiano, N. 2001. Estimates of threshold cross section for stoponium production at e+e- colliders, The European Physical Journal C-Particles and Fields, 19 (3), pp. 547-551. https://doi.org/10.1007/s100520100638
Landau, L. D. & Lifshitz, E. M. 1960. Mechanics. Vol. 1 of: Course of Theoretical Physics, (Pergamon Press Ltd)
Parisi G. in: Chudnovsky, D. & Chudnovsky, G. 2006. The Riemann Problem, Complete Integrability and Arithmetic Applications: Proceedings of a Seminar Held at the Institut Des Hautes Etudes Scientifiques, Bures-sur-Yvette, France and at Columbia University, NY, USA, 925, pp. 1979-1980. (Springer)
Particle Data Group, Zyla, P. A., Barnett, R. M. et al. 2020. Review of Particle Physics, Progress of Theoretical and Experimental Physics, 2020(8), https://doi.org/10.1093/ptep/ptaa104
Authors retain copyright and grant the journal right of first publication with the work simultaneously licensed under a Creative Commons Attribution License that allows others to share the work with an acknowledgement of the work's authorship and initial publication in this journal.