Question

6. Duderstadt and Hamilton Problem 2-14: At higher energies, the differential elastic scattering cross section in the CM system exhibits anisotropy (so-called "p-wave" scattering) of the form: Oem (W • ') = 0cm0.) = (1 + a coso.) Plot the scattering probability P( E E ) as a function of the final energies Ey for this more general cross section behavior for the three cases a > 0, a = 0, and a <0. Give a physical interpretation of your sketches.

Answer 1

Answers z 6. Given that, . At higher scattering Cross of the form: Energies, the differential Elastic section in the CM system Exhibits anisotropy ocmlñ . ,') = ccm (Oc) = 92 / (Itacos Oc). o The above scattering describes quantum scattering. Here, is scatteling length © At , Ei → Ef the scattering probability the System Shows resonance Enerasi -fos aso alo Eaton azot magnetic field /Bound State

Hence, The plot above shows : o feshbach resonance phenomenom. This is applicable for ultra Cold atomic systems. © Here, both felmi and Bose - Einstein Condensate is valid. o in the Experiment, the interaction strength between atom can be lladried in terms of scattering length, a of Elastic collission. . The interaction Strength, can be also be ladied by applying Uniform magnetic field. . By simply changing the External field we can atou can see that the effective interaction between be turned from repulsive to attractive.