Abstract
The existence of the X(3872) resonance extremely close to the D^{*0}D[over ¯]^{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 XD^{0} or XD^{*0} in inclusive prompt production at the Large Hadron Collider.
Highlights
The existence of the Xð3872Þ resonance extremely close to the DÃ0D 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
An unparticle is a system created by a local operator with a definite scaling dimension in a conformal field theory
Summary
The existence of the Xð3872Þ resonance extremely close to the DÃ0D 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. 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 XDÃ0 in inclusive prompt production at the Large Hadron Collider.
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