Dynamical effects of QCD in q2$ \bar{{q}}^{{2}}_{}$ systems |
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Authors: | M Imran Jamil Bilal Masud |
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Institution: | 1.Centre For High Energy Physics,Punjab University,Lahore,Pakistan |
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Abstract: | 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. |
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Keywords: | |
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