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In this paper, we extend our earlier study of spontaneous CP violatingscattering of quarks and anti-quarks from QCD $Z\left(3\right)$ domain wallsfor the situation when these walls have asymmetric profiles of the Polyakovloop order parameter $l(x)$. Dynamical quarks lead to explicit breaking of$Z(3)$ symmetry, which lifts the degeneracy of the $Z(3)$ vacua arising fromspontaneous breaking of the $Z(3)$ symmetry in the quark-gluon plasma (QGP)phase. Resulting domain walls have asymmetric profile of $l(x)$ (underreflection $x \rightarrow -x$ for a domain wall centered at the origin). Wecalculate the background gauge field profile $A_0$ associated with this domainwall profile. Interestingly, even with the asymmetric $l(x)$ profile,quark-antiquark scattering from the corresponding gauge field configurationdoes not reflect this asymmetry. We show that the expected asymmetry inscattering arises when we include the effect of asymmetric profile of $l(x)$ onthe effective mass of quarks and antiquarks and calculate resultant scattering.We discuss the effects of such asymmetric Z(3) walls in generating quark andantiquark density fluctuations in cosmology, and in relativistic heavy-ioncollisions e.g. event-by-event baryon fluctuations.

Spontaneous CP violating quark scattering from asymmetric $Z\left(3\right)$ interfaces in QGP