  Time-reversal symmetry breaking (TRSB) with a Bardeen-Cooper-Schrieffer (BCS)
-like superconductivity occurs in a small, but growing number of
noncentrosymmetric (NCS) materials, although the mechanism is poorly
understood. We present heat capacity, magnetization, resistivity, and muon spin
resonance/relaxation ($\mu$SR) measurements on polycrystalline samples of NCS
La$_{7}$Pd$_{3}$. Transverse-field $\mu$SR and heat capacity data show
La$_{7}$Pd$_{3}$ is a type-II superconductor with a BCS-like gap structure,
while zero-field $\mu$SR results provide evidence of TRSB. We discuss the
implications of these results for both the La$_{7}X_{3}$ (where $X=$ Ni, Pd,
Rh, Ir) group of superconductors and other CS and NCS superconductors for which
TRSB has been observed.
