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The Landau Fermi liquid theory is an phenomenological approach to strongly interacting normal Fermi system at small excitation energies. It is a model which suggest a point to point correspondence between low energy excitation of non interacting Fermi gas. The model has been widely used to study the properties of liquid He-3, electron in metal and nuclear matter. It gives an effective description of low energy elementary excitations like the quasi particles in crystal lattice. The model is found to be successful in describing some aspects of QCD, quark and hadronic matter also. In the current work a Fermi liquid model for hadrons has been suggested for the hadrons in medium. The hadrons are supposed to behave like quasi particle as Fermi excitation while in the medium and the effective mass of the hadrons have been estimated using Fermi liquid model. Considering a momentum dependent potential like V (r, p) = V ′ e−γ( p2 m )υ(r) inside the medium to describe the interaction, the effective masses of the hadrons are estimated.Compressibility, specific heats, density of states in medium have been studied. We have extracted the values of available well depths which give the idea about the binding energy of the particles in medium. We have also studied the masses of exotic baryons in the framework of diquark formalism. A quasi particle model of diquark has been suggested in an analogy with composite fermion and subsequently used to compute the masses of baryons like λb , Σb , Ξb , Ξcc, Ωcc, Ωcb,Ωccc, Ωbbb. Using a density and momenum dependent potential of the form Vp = ρ/ρ0 1+( p λ ) at p= pf , the mass of the diquark have been estimated. The results are found to be very interesting and compared with the other theoretical and experimental studies available in literature.

Properties of hadrons in medium in the context of Fermi liquid model and diquarks