Triton binding energy and neutron-deuteron scattering up to next-to-leading order in chiral effective field theory

Determination of the proper power-counting scheme is an important issue for the systematic application of Chiral Effective Field Theory in nuclear physics. We analyze the cutoff dependence of three-nucleon observables (the neutron-deuteron scattering lengths and the triton binding energy) at the leading and next-to-leading orders of a power counting that ensures order-by-order renormalization in the two-nucleon system. Our results confirm that, as usually assumed in the literature, three-body forces are not needed for renormalization of the three-nucleon system up to next-to-leading order.Rare Isotope Science Project of the Institute for Basic Science - Ministry of Science, ICT and Future Planning; National Research Foundation of Korea [2013M7A1A1075764]; U.S. Department of Energy, Office of Science, Office of Nuclear Physics [DE-FG02-04ER41338]; European Union Research and Innovation program Horizon [654002]This item from the UA Faculty Publications collection is made available by the University of Arizona with support from the University of Arizona Libraries. If you have questions, please contact us at repository@u.library.arizona.edu