Abstract
We study inhomogeneous chiral phases in nuclear matter using a hadronic model with the parity doublet structure. With an extended ansatz for the dual chiral density wave off the chiral limit, we numerically determine the phase structure. A new type of dual chiral density wave where the condensate has nonvanishing space average is confirmed and it comes to occupy a wide range of low density region as the chiral invariant mass parameter is lowered.
Highlights
The chiral symmetry breaking serves as a key ingredient to understand the phase structure of QCD, since it is responsible for the mass generation of hadrons as well as the mass splittings of chiral partners
An interesting possibility opens up when one allows the chiral condensate to vary in space; Nakano and Tatsumi demonstrated that the symmetry restoration may take place via several steps [1]; going up in density from the vacuum, the system first goes into an intriguing state named as dual chiral density wave (DCDW), that is, a particular type of inhomogeneous chiral phases, making a spiral in the (σ0, π0) chiral plane along z direction
We studied the inhomogeneous phase structure in nuclear matter using a nucleon-based model with parity doublet structure where N∗(1535) is introduced as the chiral partner of N(939)
Summary
The chiral symmetry breaking serves as a key ingredient to understand the phase structure of QCD, since it is responsible for the mass generation of hadrons as well as the mass splittings of chiral partners. We first extend the ansatz for the DCDW phase so as to take into account the effect of the explicit symmetry breaking. Our main finding is the emergence of another type of DCDW phase which occupies the lower density region according to the value of chiral invariant mass.
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