2013/05/31 by Zhi-Hui Guo, J. A. Oller, G. Ríos +1 · 17 citations
Physics and Astronomy · #Chiral perturbation theory #Large Hadron Collider #Mathematical physics #Nuclear physics research studies #Nucleon #Particle physics #Particle physics theoretical and experimental studies #Physics #Pion #Quantum Chromodynamics and Particle Interactions #Quantum mechanics #Scattering #nucl-th
paper · pdf · doi:10.1103/physrevc.89.014002
published in Physical Review C 89(1) (American Institute of Physics) · 58 pages, 26 figures, 2 tables. To match the published version. New mathematical developments are added. OPE is shown to have a unique solution. Necessary conditions for having solution are given
openalex publication_date 2014/01/29 · arxiv created 2014/02/10 · arxiv updated 2015/06/16 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05
We consider nucleon-nucleon (NN) interactions from chiral effective field theory applying the N/D method. The dynamical input is given by the discontinuity of the NN partial-wave amplitudes across the left-hand cut (LHC) calculated in chiral perturbation theory by including one-pion exchange (OPE), once-iterated OPE, and leading irreducible two-pion exchange. We discuss both uncoupled and coupled partial waves. We show algebraically that the resulting integral equation has a unique solution when the input is taken only from OPE because it is of the Fredholm type with a squared integrable kernel and an inhomogeneous term. Phase shifts and mixing angles are typically rather well reproduced, and a clear improvement of the results obtained previously with only OPE is manifest. We also show that the contributions to the discontinuity across the LHC are amenable to a chiral expansion. Our method also establishes correlations between the S-wave effective ranges and scattering lengths based on unitarity, analyticity, and chiral symmetry.