Quantum confined scattering beyond the s-wave approximation

A dual confinement induced resonance effect first observed numerically in a paper P. I. Kim, V. S. Melezhik and P. Schmelcher, Phys. Rev. Lett. 97 (2006), 193203] predicts the possibility of suppressing the effective two-body interaction in a quasi-one dimensional (ID) cylindrical geometry. Here this low dimensionality effect is analytically modeled by applying a previous formalism to treat low energy quantum scattering processes under tight confinement [J. I. Kim, J. Schmiedmayer and P. Schmelcher, Phys. Rev. A 72 (2005), 042711]. This analytic formalism is improved in order to account non-perturbatively for the three dimensional (31D) scattering phase shift l = 1 for a given spherically symmetric interaction potential between distinguishable colliding particles. The role of the confinement on the scattering properties can then be systematically calculated up to the p-wave.Univ Fed Sao Paulo, Dept Ciencias Exatas & Terra, BR-09972270 Diadema, SP, BrazilJoint Inst Nucl Res, Bogoliubov Lab Theoret Phys, Dubna 141980, Moscow Region, RussiaUniv Heidelberg, Inst Phys, D-69120 Heidelberg, GermanyUniv Heidelberg, Inst Phys Chem, D-69120 Heidelberg, GermanyUniv Fed Sao Paulo, Dept Ciencias Exatas & Terra, BR-09972270 Diadema, SP, BrazilWeb of Scienc