Investigation of the binding energy, wave function and absorption probability for an atomic fluid in a nanochannel via nonlocal and Scarf II potentials

In this work, the binding energy and the wave function of an atomic fluid flowing in a nanochannel have beeninvestigated using the Lippmann-Schwinger equation. We considered the nonlocal potential with rank 1 in our calculations.We applied the Scarf II potential including an imaginary term, as a perturbation factor to calculate the absorption probabilityof the atomic fluid on the wall of nanochannel. Hence, we used the perturbation theory in the Lippmann-Schwingerequation. We assumed that the transmission probability of the fluid is zero, therefore the sum of the reflection and theabsorption probabilities are unitary.

Keywords:

Lippmann-Schwinger equation , nonlocal potential , Scarf II potential , nanochannel ,