$P$ and $T$ Violating Form Factors of the Deuteron

We calculate the electric-dipole and magnetic-quadrupole form factors of the deuteron that arise as a low-energy manifestation of parity and time-reversal violation in quark-gluon interactions. We consider the QCD vacuum angle and the dimension-six operators that originate from physics beyond the standard model: the quark electric and chromoelectric dipole moments and the gluon chromoelectric dipole moment. Within the framework of two-flavor chiral perturbation theory, we show that in combination with the nucleon electric dipole moment, the deuteron moments would allow an identification of the dominant source(s) of symmetry violation.

Figure 1

LO diagrams for the deuteron EDFF (a),(b) and MQFF (c)–(f). Solid, dashed, and wavy lines represent nucleons, pions, and photons. A square marks $\mathrm{P̸}\mathrm{T̸}$ interactions. The other vertices are leading (filled circles) and subleading (circled circles) $PT$ interactions. The hatched vertex represents the deuteron state. Only one topology per diagram is shown.