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arXiv · 2301.04399

Point Production of a Nonrelativistic Unparticle Recoiling Against a Particle

Eric Braaten·Hans-Werner Hammer
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Abstract

A nonrelativistic unparticle can be defined as an excitation created by an operator with a definite scaling dimension in a nonrelativistic field theory with an approximate conformal symmetry. The point production rate of an unparticle has power-law dependence on its total energy with an exponent determined by its scaling dimension. We use the exact result for the 3-point function of primary operators in a nonrelativistic conformal field theory to derive the contribution to the point production rate of the unparticle from its decay into another unparticle recoiling against a particle. In the case where the conformal symmetry is broken by a large positive scattering length, we deduce the exponent of the energy in the point production rate of the loosely bound two-particle state recoiling against a particle with large relative momentum.

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Eric Braaten, Hans-Werner Hammer. 2023-01-11. Point Production of a Nonrelativistic Unparticle Recoiling Against a Particle. https://doi.org/10.1103/physrevd.107.034017

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