Model forq2q¯2systems, illustr

Abstract

Here is presented a four-body potential model for q 2 q2 systems which includes both the spin and flavour degrees of freedom, extending the formalism presented already in the spin independent situation. This allows an application to a realistic situation, which is chosen to be K K scattering. It is seen that because of the gluonic effects in this multi-quark system, the K K attraction resulting from the quark-exchange mechanism gets appreciably decreased compared to that emerging through the naive two-body potential approach.

$$\rho J/\Psi $$ scattering in an improved many-body potential

“…After getting ω the constants and mesons sizes are obtained by using C = −(3/16)(2µω 2 ) and d = 1/2µω [20,27]. Hence the fitted parameters are m u = 0.1065, m c = 1.2877, C 1 = −0.0273, C 2 = −0.00615, C 3 = −0.002995 andC = 0.…”

“…[20,26], we multiply it by the matrix elements of the actual SU(3) color matrices. In these and related calculations [27,28] for meson-meson cross-sections and bindings, resonating group method (mentioned below in section II) has been employed to use the wave function of a single cluster of a quark antiquark pair. These wave functions are taken to be those of the quadratic confinement; each potential energy is also quadratic in the four papers.…”

Dynamical implications of gluonic excitations in meson-meson systems

“…With the use of ground state potential v ij in the realistic coulombic plus linear form, it becomes impossible for us to solve the integral equations appearing below in eqs. (21)(22)(23)(24). Therefore we used the parametrization of the static pairwise two quark potential as v ij = Cr 2 ij + C, with i, j = 1, 2, 3, 4.…”

“…Using this approximation, we use the solutions (χ i (R i ), χ i (R i )) of eqs. (21)(22)(23)(24) in absence of interactions (meaning f = f a = f c = 0)…”

“…At the quark level, this model II was noted to much reduce the chisquare of eq.(1). This model has been worked out in [22,23,24] till meson-level transition amplitudes. The dynamical calculations require a kinetic energy term as well.…”