2014/02/11 by J. A. Oller, Oller, J. A.
Physics and Astronomy · #FOS: Physical sciences #High Energy Physics - Phenomenology (hep-ph) #Nuclear Experiment (nucl-ex) #Nuclear Theory (nucl-th) #Nuclear physics research studies #Particle physics theoretical and experimental studies #Quantum Chromodynamics and Particle Interactions #hep-ph #nucl-ex #nucl-th
paper · pdf · doi:10.48550/arxiv.1402.2449
45 pages, 16 figures, 7 tables
arxiv created 2014/02/11 · openalex publication_date 2014/02/11 · arxiv updated 2014/02/13 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28
We study nucleon-nucleon (NN) scattering by applying the N/D method in chiral perturbation theory up to next-to-next-to-leading (NNLO) order in the calculation of the imaginary part of the NN partial-wave amplitudes along the left-hand-cut, which is the dynamical input for this approach. A quite good reproduction of the Nijmegen partial-wave analysis phase shifts and mixing angles is obtained, which implies a steady improvement in the accurateness achieved by increasing the chiral order in the calculation of the dynamical input. A power counting for the subtraction constants is established, which is appropriate for those subtractions attached to both the left- and right-hand cuts. We discuss that it is not necessary to modify the NN chiral potential at NNLO to agree with data, but instead one should perform the iteration of two-nucleon intermediate states to finally achieve analytic and unitarity NN partial-wave amplitudes in a well-defined way. We also confirm at NNLO the long-range correlations between the NN S-wave effective ranges and scattering lengths, when employing only once-subtracted dispersion relations, that holds up to around 10% when compared with experimental values.