
TL;DR
This paper introduces the concept of unnucleus as a nonrelativistic conformal field theory entity, predicts a power-law behavior in nuclear reactions involving neutrons, and validates these predictions against existing experimental data.
Contribution
It defines the unnucleus in a nonrelativistic setting, predicts observable power-law cross sections in nuclear reactions, and connects these to universal fermion properties at unitarity.
Findings
Power-law singularity in recoil energy near maximal recoil.
Unnucleus behavior observed in neutron-emission nuclear reactions.
Excellent agreement with existing reaction data.
Abstract
We investigate a nonrelativistic version of Georgi's "unparticle physics." We define the unnucleus as a field in a nonrelativistic conformal field theory. Such a field is characterized by a mass and a conformal dimension. We then consider the formal problem of scatterings to a final state consisting of a particle and an unnucleus and show that the differential cross section, as a function of the recoil energy received by the particle, has a power-law singularity near the maximal recoil energy, where the power is determined by the conformal dimension of the unnucleus. We argue that unlike the relativistic unparticle, which remains a hypothetical object, the unnucleus is realized, to a good approximation, in nuclear reactions involving emission of a few neutrons, when the energy of the final-state neutrons in their center-of-mass frame lies in the range between about 0.1 MeV and 5 MeV.…
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