In this paper , we take a way which realizes this constraint by a nonlinear method and generalize the chiral effictive model to su ( 3 ) including the baryon octet . by this means , we obtain the chiral symmetry spontaneous breaking lagrange density which depicts the strong interactions
2.
There has been many papers to discuss the in - medium quark and gluon condensates in nuclear matter which use the models with su ( 2 ) l su ( 2 ) r sym - metry . now , we make use of the chiral model su ( 3 ) l su ( 3 ) n including the baryon octet to discuss the quark condensate < qq > in strange matter , where q is an up or down quark field . on the one hand , from the experimetal data , it is found that < qq > vac = - ( 225 25mev ) 3 , on the other hand , with the hellmann - feynman theorem , quark condensate can be evaluated on the hadronic level . in this paper , we will investigate the quark condensate in strange matter with the chiral symmetry su ( 3 ) l x su ( 3 ) rspontaneous breaking lagrangian to obtain the variation of the quark condensate in the strange matter when the baryon number change . it can be applied to understand the neutron stars when the neutron star are considered to be constructed by the strange matter . because nertron stars are homogeneous and at very low temperature , we will use the mean - field approximation and zero temperature throughout this paper
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