  Motivated by the recent experimental developments on ultracold molecules and
atoms, we propose a simplest theoretical model to address the disassociation,
reflection and transmission probability of a 1-dimensional cold molecule via
quantum scattering. First, we give the Born approximation results in the weak
interaction regime. Then, employing the Lippmann-Schwinger equation, we give
the numerical solution and investigate the disassociation's dependence on the
injection momentum and the interaction strengths. We find that the maximum
disassociation rate has a limit as increasing the interaction strengths and
injection momentum. We expect that our model can be realized in experiments in
the near future.
