• Open Access

Interpretation of Neutral Charm Mesons near Threshold as Unparticles

Eric Braaten and Hans-Werner Hammer
Phys. Rev. Lett. 128, 032002 – Published 20 January 2022

Abstract

The existence of the X(3872) resonance extremely close to the D*0D¯0 threshold implies that neutral charm mesons have an approximate nonrelativistic conformal symmetry. Systems consisting of these mesons with small kinetic energies produced in a short-distance reaction are unparticles in the sense that they can be created by operators with definite scaling dimensions in a nonrelativistic conformal field theory. There is a scaling region in which their energy distribution has power-law behavior with an exponent determined by the scaling dimension of the operator. The unparticle associated with two neutral charm mesons produces a peak in the recoil momentum spectrum of K± in inclusive decays of B± that has been observed. The scaling dimensions of the unparticles associated with three neutral charm mesons are calculated. They can be determined experimentally by measuring the invariant mass distributions for XD0 or XD*0 in inclusive prompt production at the Large Hadron Collider.

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  • Received 13 July 2021
  • Revised 7 November 2021
  • Accepted 24 December 2021

DOI:https://doi.org/10.1103/PhysRevLett.128.032002

Published by the American Physical Society under the terms of the Creative Commons Attribution 4.0 International license. Further distribution of this work must maintain attribution to the author(s) and the published article’s title, journal citation, and DOI. Funded by SCOAP3.

Published by the American Physical Society

Physics Subject Headings (PhySH)

Particles & FieldsNuclear PhysicsAtomic, Molecular & Optical

Authors & Affiliations

Eric Braaten

  • Department of Physics, The Ohio State University, Columbus, Ohio 43210, USA

Hans-Werner Hammer

  • Department of Physics, Technische Universität Darmstadt, 64289 Darmstadt, Germany and ExtreMe Matter Institute EMMI and Helmholtz Forschungsakademie Hessen für FAIR (HFHF), GSI Helmholtzzentrum für Schwerionenforschung GmbH, 64291 Darmstadt, Germany

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Issue

Vol. 128, Iss. 3 — 21 January 2022

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