Unnuclear physics

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. Combining this observation with the known universal properties of fermions at unitarity in a harmonic trap, we predict a power-law behavior of an inclusive cross section in this kinematic regime. We compare our predictions with previous effective field theory and model calculations of the ${}^6$He$(p,p\alpha )2n$, ${}^3$H$({\pi }^{-},\gamma )3n$, and ${}^3$H$({\mu }^{-},{\nu }_{\mu })3n$ reactions and find excellent agreement.

arXiv comment13 pages, 4 figures

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• Interpretation of neutral charm mesons near threshold as unparticles
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• D-dimensional three-body bound-state problem with zero range interactions
• Nonrelativistic Conformal Invariance in Mesoscopic Two-Dimensional Fermi Gases
• Fate of Multiparticle Resonances: From $Q$-Balls to ${}^3$He Droplets
• Complex scaling flows in the quench dynamics of interacting particles
• Point Production of a Nonrelativistic Unparticle Recoiling Against a Particle
• From Nuclear to Unnuclear Physics
• Applied nonrelativistic conformal field theory: scattering-length and effective-range corrections to unnuclear physics
• Universal trimers with p-wave interactions and the faux-Efimov effect
• Searching for the Tetraneutron Resonance on the Lattice
• The "Folk Theorem" on Effective Field Theory: A Case for Nuclear Physics
• Observability of modified threshold behavior near unitarity
• Exact evaluation of large-charge correlation functions in non-relativistic conformal field theory
• Universal spectrum of isolated three-body resonances
• Model-independent mass determination of near-threshold states from short-range production
• Short-distance production of three particles with large scattering length