The masses of the recently reported by LHCb two pentaquark charmonium states P * c (4380) and P * c (4450) which are supposed to have the configuration (uudcc) have been estimated in the framework of the quasiparticle model of diquarks considering [ud][uc]c configuration. The masses are reproduced very well which indicates that the description of diquark as quasiparticle is very useful for describing multiquark state and to understand the dynamics of it.
The critical values of screening parameters for Υ 1S and Υ 2S in Quark-Gluon Plasma (QGP) have been estimated, where the screened potential is represented by an optical potential of type V (r, λ) = −[ V0+iW0 1+exp((r−R)λ) ]. It has been observed that the critical screening length possesses smaller value indicating a larger suppression compared to the value obtained when the screened potential is represented by real potential. The variation of twoparticle energies of Υ 1S and Υ 2S with temperature has also been studied. It has been observed that below T = 0.8 T c , the two-particle energy remains almost invariant before approaching to deconfinement phase at T = T c. The results obtained are compared with other existing estimates.
The free energy analyzed in the framework of the quantum field theory in conjunction with the statistical model for a [Formula: see text] meson is found to undergo an expansion in the condensate wave function. The superconducting and fractal properties of the meson are found to originate from the branch-cut type of singularity in the wave function of the model in which the gauge symmetry breaking is manifest.
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