Some Properties Of π Meson In Nuclear Matter With Finite Density

It is known that the meson is the lightest hadron and hence plays a significant role in the phenomenology of low-to-intermediate-energy nuclear physics as mediator of the long-range part of hadron-hadron interactions. Furthermore,as Goldstone boson TT meson provide an ideal means of exploring models of hadron structure,subnucleoic degrees of freedom in nuclei,and the spontaneous breaking of chiral symmetry. Therefore,people have used various methods to study the properties of the n rneson quite thoroughly. However,it is still a difficult problem how a nuclear matter background could be taken into account.In the frame of GCM,by introducing the chemical potential of baryons in this paper,we have found an effective method to study some properties of TT Meson in a nuclear matter with finite density. Using the effective action we got in a nuclear matter,we calculate the decay constant /?and TT mass m-jf as functions of the chemical potential. The relation between the chemical potential and the density of a nuclear matter is firstly given here,which is that the density of a nuclear matter monotonously increases with the increasing of the chemical potential. Meanwhile we find that decay constant fn and the TT mass mv monotonously decrease as nuclear matter density increases. The result is consistent with the usual assumption that the chiral symmetry is gradually restored as density of a nuclear matter increases.