Neutron-Deuteron System and Photon Polarization Parameter at Thermal Neutron Energies

Abstract

Effective Field Theory(EFT) is, the unique, model independent and systematic low-energy version of QCD for processes involving momenta below the pion mass. A low-energy photo-nuclear observable in three-body systems, photon polarization parameter at thermal neutron energies is calculated by using pionless EFT up to next-to-next to leading order(N${}^2$LO). In order to make a comparative study of this model, we compared our results for photon polarization parameter with the realistic Argonne $v_{18}$ two-nucleon and Urbana IX or Tucson-Melbourne three-nucleon interactions. Three-body currents give small but significant contributions to some of the observables in the neutron-deuteron radiative capture cross section at thermal neutron energies. In this formalism the three-nucleon forces are needed up to N${}^2$LO for cut-off independent results. Our result converges order by order in low energy expansion and also cut-off independent at this order.

10 pages, 3 figures, 2 tables

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Cited by in corpus (7)

• Nuclear effective field theory: status and perspectives
• Efimov States in Nuclear and Particle Physics
• Electromagnetic two-body currents of one- and two-pion range
• Up-to N${}^3$LO heavy-baryon chiral perturbation theory calculation for the M1 properties of three-nucleon systems
• Efimov physics from a renormalization group perspective
• Triton Photodisintegration with Effective Field Theory
• Application of EFT at Thermal Energies