Hyperspherical approach to the four-body problem

Details Hyperspherical approach to the four-body problem Hyperspherical approach to the four-body problem

2007-06-11

arxiv.org/abs/0706.1296v1

Physics

Condensed Matter

Other Condensed Matter

10 pages, 3 figures. To be published in: Atomic Structure and Collision Processes Publisher: Narosa

Scientific paper

The four-particle system is the simplest few-body system containing the fundamental physics involved in ultracold fermionic gases. We have made recent efforts to solve the quantum four-body problem in the adiabatic hyperspherical representation. Our approach yields a set of coupled potential curves that can in turn be solved for all elastic and inelastic processes. These rates may play an important role in the lifetime of molecules in ultracold fermi gases. We believe this will lead to a deeper understanding of ultracold fermi systems and the physics of the BCS-BEC crossover.

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