Dynamical effects of QCD in q2 systems

• Published in: The European physical journal. A, Hadrons and nuclei Vol. 47; no. 3
• Main Authors: Imran Jamil, M., Masud, Bilal
• Format: Journal Article
• Language: English
• Published: Berlin/Heidelberg Springer-Verlag 2011
• Subjects: Hadrons; Heavy Ions; Nuclear Fusion; Nuclear Physics; Particle and Nuclear Physics; Physics; Physics and Astronomy; Regular Article - Theoretical Physics; Gaussian Form; Wilson Loop; Lattice Simulation; Phase Shift; Born Approximation
• ISSN: 1434-6001; 1434-601X
• DOI: 10.1140/epja/i2011-11033-4

.
We study the coupling of a tetraquark system to an exchanged meson-meson channel, using a pure gluonic theory based four-quark potential
matrix
model which is known to fit well a large number of data points for lattice simulations of different geometries of a four-quark system. We find that if this minimal-area-based potential matrix replaces the earlier used simple Gaussian form for the gluon field overlap factor
f
in its off-diagonal terms, the resulting
T
-matrix and phase shifts develop an angle dependence whose partial-wave analysis reveals
D
wave and higher angular-momentum components in it. In addition to the obvious implications of this result for the meson-meson scattering, this new feature indicates the possibility of orbital excitations influencing properties of meson-meson molecules through a polarization potential. We have used a formalism of the resonating group method, treated kinetic energy and overlap matrices on model of the potential matrix, but decoupled the resulting complicated integral equations through the Born approximation. In this exploratory study we have used a quadratic confinement and not included the spin dependence; we also used the approximation of equal constituent quark masses.