  We construct a two component Ginzburg-Landau theory with coherent pair motion
and incoherent quasiparticles for the phase diagram of $U_{1-x}Th_xBe_{13}$.
The two staggered superconducting states live at the Brillouin zone center and
the zone boundary, and coexist for temperatures $T\le T_{c2}$ at concentrations
$x_{c1}\approx 0.02\le x \le x_{c2}\approx 0.04$. We predict below $T_{c2}$
appearance of a charge density wave (CDW) and Be-sublattice distortion. The
distortion explains the $\mu$SR relaxation anomaly, and Th-impurity mediated
scattering of ultrasound to CDW fluctuations explains the attenuation peak.
