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Three-Body Collisions at Ultracold Temperatures: An Effective Field Theory Approach

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An Introduction to Cold and Ultracold Chemistry
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Abstract

The present book focusses on the study of cold and ultracold chemical reactions, which are mainly a consequence of the encounter of two or three bodies (atoms, molecules, ions, or Rydbergs) at short-range distances, although they are highly influenced by the long-range behavior of interparticle interaction. These reactions, like most of the chemical reactions in nature, can be viewed as few-body precesses. However, when one thinks about few-body processes or few-body physics , it is customary to think of nuclear systems rather than chemical systems. Nevertheless, the tools for treating few-body nuclear systems are totally extensible to chemical reactions, and this will be the topic of the present chapter. In particular, we present how some of the tools and ideas from few-body physics in nuclear physics (and even high-energy physics) are readily applicable to ultracold collisions, leading to a new and interesting perspective of the problem related to the universality of chemical reactions.

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Notes

  1. 1.

    Please, note that Λ0 defines the momentum; therefore, the proper energy of the system will be \(\propto \Lambda _{0}^{2}\).

  2. 2.

    Generally, in quantum field theory fermionic fields are represented by a solid line, whereas the scalar fields are shown as dashed lines.

  3. 3.

    For small Λ this is not the case, since a two-body divergence emerges.

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Pérez Ríos, J. (2020). Three-Body Collisions at Ultracold Temperatures: An Effective Field Theory Approach. In: An Introduction to Cold and Ultracold Chemistry. Springer, Cham. https://doi.org/10.1007/978-3-030-55936-6_6

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