  We continue our simulations of lattice QCD at finite quark-number chemical
potential, $\mu$, using the complex-Langevin equation (CLE) with gauge-cooling
and adaptive updating. The CLE is used because QCD at finite finite $\mu$ has a
complex fermion determinant, which prevents use of standard simulation methods.
Simulations using the standard lattice action show a transition from hadronic
to nuclear matter for $\mu < m_\pi/2$ rather than the expected $\mu \approx
m_N/3$. This suggests that the CLE is being influenced by the phase-quenched
theory, which has a transition at $\mu = m_\pi/2$. We are therefore performing
CLE simulations with a new action which includes an irrelevant chiral 4-fermion
interaction. This separates the physics at energies of order of the pion mass
and smaller from that at energies of the other hadrons. In doing this, it
breaks the extended symmetry of the phase-quenched theory over that of the full
theory, raising the masses of the extra pion-like excitations consisting of a
quark and a conjugate quark, which could otherwise produce such an anomalous
transition. Our preliminary CLE simulations using massless quarks, so that
$m_\pi=0$, show no transition at $\mu=m_\pi/2=0$, but do show a transition at
an appreciably higher value of $\mu$. It remains to be seen if this transition
is near to $m_N/3$.
