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The static-exchange model (SEM) and the modified static-exchange model (MSEM)recently introduced by Ray [1] is applied to study the elastic collisionbetween two hydrogen-like atoms when both are in ground states considering thesystem as a four-body Coulomb problem in the center of mass frame, in which allthe Coulomb interaction terms in direct and exchange channels are treatedexactly. The SEM includes the non-adiabatic short-range effect due toelectron-exchange. The MSEM added in it, the long-range effect due to induceddynamic dipole polarizabilities between the atoms e.g. the Van der Waalsinteraction. Applying the SEM code in different H-like two-atomic systems, areduced mass dependence on scattering length is observed. Again applying theMSEM code on H(1s)-H(1s) elastic scattering and varying the minimum values ofinteratomic distance, the dependence of scattering length on the effectiveinteratomic potential consistent with the existing physics are observed. Boththese basic findings in low and cold energy atomic collision physics are quiteuseful and are being reported for the first time.

The dependence of scattering length on van der Waals interaction and on the reduced-mass of the system in two-atomic collision at cold energies