Abstract
The energy dependence of the longitudinal asymmetry and the spin rotation of the proton on the deuterium target in the scattering are presented using the pionless effective field theory formalism. The strong, weak, and Coulomb interactions have been introduced in the scattering. We have shown that in the presence of Coulomb interaction, the parity-conserving (PC) and the parity-violating (PV) sectors are modified. The PV two-body transitions diagrams have been evaluated with the inclusion of Coulomb interaction and consequently the PV observables are enhanced. The leading-order values of the and the spin rotation of the proton on the deuterium target are calculated at the proton laboratory energies above 0.7 MeV, in order to calculate the Coulomb effect perturbatively, up to 3 MeV where typical momenta is . With the lack of experimental data for the low-energy coupling constants (LECs), we have used two estimated sets for the five independent (PV) LECs of the weak PV Lagrangian. The order of magnitude, of the PV observables with these two sets, is found to be to which indicates that the expected order is achieved in this energy range. The cutoff independent results support the validity of our approach.
- Received 25 May 2016
- Revised 28 June 2016
DOI:https://doi.org/10.1103/PhysRevC.94.054003
©2016 American Physical Society