content_image/365165.jpg content_image/365177.jpg content_image/365176.jpg content_image/365174.jpg content_image/365173.jpg content_image/365175.jpg
Substituting this into V$_{potential}$ , we have 

<img src='content_image/365165.jpg'>

<img src='content_image/365177.jpg'>

This is equivalent to the potential term of the chiral Lagrangian for NG bosons analyzed in Ref. [3]. Then, the value of ξ (˜ π ) which minimizes the potential is obtained as 

<img src='content_image/365176.jpg'>

where X 5 is given in Eqs. (B.6) and (B.7) and the VEV ˜ π 5 is determined as 

with 

µ 2 B This means that there is a condensation of the baryonic-NG boson with J P = 0 + and U (1)$_{B}$ symmetry is broken spontaneously for µ$_{B}$ > M$_{π}$ . By substituting this VEV into Eq. (3.6), the VEV of the “vector” boson fields ˜ V α 0 is determined as 

This implies that the time component of ω meson (see Table II) has a VEV for any µ$_{B}$ , as in the ordinary three-color QCD. In FIG. 1, we plot the µ$_{B}$ -dependence of ˜ ω = ˜ V 4 0 . This shows that the ˜ ω increases with µ$_{B}$ for µ$_{B}$ < M$_{π}$ while it decreases for µ$_{B}$ > M$_{π}$ . 

<img src='content_image/365174.jpg'>

<img src='content_image/365173.jpg'>

<img src='content_image/365175.jpg'>

