Abstract
We propose a simple scenario in which dark matter (DM) emerges as a stable neutral hadronic thermal relic, its stability following from an exact U(1)D symmetry. Neutrinos pick up radiatively induced Majorana masses from the exchange of colored DM constituents. There is a common origin for both dark matter and neutrino mass, with a lower bound for neutrinoless double beta decay. Direct DM searches at nuclear recoil experiments will test the proposal, which may also lead to other phenomenological signals at future hadron collider and lepton flavor violation experiments.
Highlights
There is a renewed interest in the spectroscopy of exotic hadrons containing one or two heavy constituents
A calculation of the masses of mesons D(cu ), . . . , Bs(sb) and baryons p(uud), . . . b(bud) leads to the threshold masses shown in Table 1, which displays the best 5-body energy with the required convergence, N = 5 or N = 6 in Eq (4)
As seen from the variational energy remaining above the threshold and from the color-content of the variational wave function, 100% in the lowest M B channel of the threshold
Summary
There is a renewed interest in the spectroscopy of exotic hadrons containing one or two heavy constituents. An eigenvalue O4 = 16 is found for a qqqq system in a state of color 3 and spin Jq = 0 corresponding to a SU(3)F triplet of flavor This means that in the limit where the mass of the heavy quark becomes infinite, i.e., the chromomagnetic energy is restricted to the light sector, a downwards shift δM = 8 a ∼ 150 MeV is obtained for Qqqqq, as compared to its lowest threshold Qq + qqq. In this letter we adopt a generic constituent model, containing chromoelectric and chromomagnetic contributions, tuned to reproduce the masses of the mesons and baryons entering the various thresholds and study the pentaquark configurations Quuds, Qddsu and Qssdu with Q = c or b, for both s = 1/2 and s = 3/2, using a powerful variational method. If a variational state converges to a bound state as N increases, it includes sizable hidden-color components even for low N
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