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