Longitudinal asymmetry and proton spin rotation in pd scattering with pionless effective field theory

N. Mahboubi, S. Bayegan, H. Nematollahi, and M. Moeini Arani
Phys. Rev. C 94, 054003 – Published 15 November 2016

Abstract

The energy dependence of the longitudinal asymmetry (AL) and the spin rotation of the proton on the deuterium target in the pd scattering are presented using the pionless effective field theory formalism. The strong, weak, and Coulomb interactions have been introduced in the pd 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 AL 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 Qmπ. 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 NN PV Lagrangian. The order of magnitude, of the PV observables with these two sets, is found to be 106 to 107 which indicates that the expected order is achieved in this energy range. The cutoff independent results support the validity of our approach.

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  • Received 25 May 2016
  • Revised 28 June 2016

DOI:https://doi.org/10.1103/PhysRevC.94.054003

©2016 American Physical Society

Physics Subject Headings (PhySH)

Nuclear Physics

Authors & Affiliations

N. Mahboubi*, S. Bayegan, H. Nematollahi, and M. Moeini Arani§

  • Department of Physics, University of Tehran, P.O. Box 14395-547, Tehran, Iran

  • *n.mahboubi@ut.ac.ir
  • Corresponding author: bayegan@ut.ac.ir
  • hnematollahi.91@ut.ac.ir
  • §m.moeini.a@ut.ac.ir

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Issue

Vol. 94, Iss. 5 — November 2016

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