2007/06/30 by C.-J. Yang, C. -J. Yang, Ch. Elster +2 · 5 citations
Physics and Astronomy · #Nuclear physics research studies #Particle physics theoretical and experimental studies #Quantum Chromodynamics and Particle Interactions #nucl-th
paper · pdf · doi:10.1103/physrevc.77.014002
published as Phys.Rev.C77:014002,2008 · 16 pages, 11 figures
arxiv created 2008/01/23 · openalex publication_date 2008/01/23 · arxiv updated 2009/12/01 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/30
The leading-order nucleon-nucleon (NN) potential derived from chiral perturbation theory consists of one-pion exchange plus short-distance contact interactions. We show that in the 1S0 and 3S1\text\ensuremath-3D1 channels, renormalization of the Lippmann-Schwinger equation for this potential can be achieved by performing one subtraction. This subtraction requires as its only input knowledge of the NN scattering lengths. This procedure leads to a set of integral equations for the partial-wave NNt matrix which gives cutoff-independent results for the corresponding NN phase shifts. This reformulation of the NN scattering equation offers practical advantages, because only observable quantities appear in the integral equation. The scattering equation may then be analytically continued to negative energies, from which information on bound-state energies and wave functions can be extracted.