Dependence of the scattering length for hydrogen atoms on effective mass

M. J. Jamieson, A. S.C. Cheung, H. Ouerdane

Research output: Contribution to journalArticlepeer-review

10 Citations (Scopus)


The possibility that the non-adiabatic correction to the scattering length of a pair of hydrogen atoms interacting via the ground state molecular potential, X1g +, of H2 could be made by replacing the mass of each nucleus by a different effective mass is explored. The Born-Oppenheimer potential with adiabatic, relativistic and radiative corrections is used in calculations of the scattering lengths and the mass-dependent shifts of the rotationless vibrational levels with fixed and varying effective masses. The shifts are compared with established values and it is demonstrated that the semi-classical formula for the scattering length accounts well for the effect of changing the mass. A perturbing potential that is equivalent to a change in mass is derived and it is compared to a published local non-adiabatic potential.

Original languageEnglish
Pages (from-to)181-188
Number of pages8
JournalEuropean Physical Journal D
Issue number2
Publication statusPublished - Jan 2010
Externally publishedYes


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