Higher hybrid charmonia in an extended potential model

Abstract

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 results can help in experimentally recognizing hybrid mesons. The properties of conventional and hybrid charmonium mesons are calculated for the ground and radially excited states using the shooting method to numerically solve the required Schrödinger equation for the radial wave functions. We compare our results with the experimentally observed masses 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 meson with the masses of recent discovered XYZ-particles is also discussed.

Decays and spectrum of bottom and bottom strange mesons

“…The radial Schrödinger equation was solved with the shooting method [6]; results for the B and B s spectrum are reported in Table I.…”

“…Substituting Eqs. (6)(7)(8) in BC|H I |A , we get the (remaining) spin and space factor of the diagram (d 2 ) for the general process q 1 b → q 1 q 2 + q 2 b, where q 1 or q 2 = (u, d, s), as…”

“…To this end we construct a reasonably "standard" nonrelativistic potential quark model and fit its parameters to the known B and B s mesons. The philosophy underpinning this type of modelling is the adiabatic separation of "slow" constituent quark degrees of freedom from "fast" gluonic degrees of freedom [5][6][7][8].…”

Properties of excited charmed-bottom mesons

“…[8] whereas for 1P state it is slightly different. The spectrum of B c states obtained by solving the radial Schrödinger equation through the shooting method [16] is reported in Tables I and II.…”

Discussions on the line-shape of the X(4660) resonance

“…the the Godfrey-Isgur model in cc sector [2]), and most of them are very narrow despite of locating above open charm (bottom) thresholds, which have intrigued theorists for recent years. Various models are established to understand such states: for example, modified quark models [3][4][5] which treat them as confining states; "non-resonance" interpretations regarding them as branch cut singularities [6]; also, one widely accepted mechanism is so called "hadronic molecules" [7][8][9][10].…”