  The one-body density matrix (OBDM) of a strongly interacting spinor quantum
gas in one dimension can be written as a summation of products of spatial and
spin parts. We find that there is a remarkable connection between the spatial
part and the OBDM of a spinless hard-core anyon gas. This connection allows us
to efficiently calculate the OBDM of the spinor system with particle numbers
much larger than what was previously possible. Given the OBDM, we can easily
calculate the momentum distribution of the spinor system, which again is
related to the momentum distribution of the hard-core ayone gas.
