2004/11/11 by Renato Higa, R. Higa, Higa, Renato · 1 citation
Earth and Planetary Sciences · Physics and Astronomy · #FOS: Physical sciences #High-pressure geophysics and materials #Nuclear Theory (nucl-th) #Pulsars and Gravitational Waves Research #Quantum Chromodynamics and Particle Interactions #nucl-th
paper · pdf · doi:10.48550/arxiv.nucl-th/0411046
26 pages, 84 figures, Revtex4
arxiv created 2004/11/11 · openalex publication_date 2004/11/11 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
In our recent works we derived a chiral O(q4) two-pion exchange nucleon-nucleon potential (TPEP) formulated in a relativistic baryon (RB) framework, expressed in terms of the so called low energy constants (LECs) and functions representing covariant loop integrations. We showed that the expansion of these functions in powers of the inverse of the nucleon mass reproduces most of the terms of the TPEP derived from the heavy baryon (HB) formalism, but such an expansion is ill defined and does not converge at large distances. In the present work we perform a study of the phase shifts in nucleon-nucleon (NN) scattering for peripheric waves (L≥ 3), which are sensitive to the tail of the potential. We assess quantitatively the differences between the RB and HB results, as well as variations due to different values of the LECs. By demanding consistency between the LECs used in πN and NN scattering we show how NN peripheral phase shifts could constrain these values. We demonstrate that this idea, first proposed by the Nijmegen group, favors a smaller value for the LEC c3 than the existing ones, when considering the TPEP up to order q4 in the chiral expansion.