Higher hybrid charmonia in an extended potential model

• Published in: Physical review. D, Particles, fields, gravitation, and cosmology Vol. 90; no. 5
• Main Authors: Sultan, M. Atif, Akbar, Nosheen, Masud, Bilal, Akram, Faisal
• Format: Journal Article
• Language: English
• Published: 03-09-2014
• Subjects: Cosmology; Gravitation; Mathematical models; Mesons; Quarks; Recognition; Scalars; Schroedinger equation; Wave functions
• ISSN: 1550-7998; 1550-2368
• DOI: 10.1103/PhysRevD.90.054001

The quark potential model for mesons and its extension for hybrid mesons are used to study the effects of radial excitations on the masses, sizes, and radial wave functions at the origin for conventional and hybrid charmonium mesons. These nonrelativistic quark potential models are also used to calculate the E1 and M1 radiative partial widths for conventional meson to meson and hybrid to hybrid transitions. Relativistic corrections in masses and radiative widths are calculated by applying leading-order perturbation theory. To numerically solve the required Schrodinger equation for the radial wave functions, to be relativistically improved, we use the shooting method. We compare our results with the experimentally observed and theoretically predicted results of the other models. Our results have implications for scalar form factors, energy shifts, and polarizabilities of conventional and hybrid mesons. The comparison of masses of conventional and hybrid charmonium mesons with the masses of recently discovered XYZ particles is also discussed. Thus, our results can help in experimentally recognizing hybrid mesons.