Effective field theory with dibaryon degrees of freedom

2007/12/31 by Joan Soto, Jaume Tarrús Castellà, Jaume Tarrus · 2 citations
Physics and Astronomy · #High-Energy Particle Collisions Research #Particle physics theoretical and experimental studies #Quantum Chromodynamics and Particle Interactions #nucl-th

paper · pdf · doi:10.1103/physrevc.78.024003

published as Phys.Rev.C78:024003,2008 · 20 pages, 5 figures; misprints corrected, explanations enlarged, references added. Journal version

arxiv created 2008/06/30 · openalex publication_date 2008/08/27 · arxiv updated 2009/12/01 · openalex created_date 2021/04/13 · openalex updated_date 2026/07/28

Abstract

We propose a low energy effective field theory of QCD at the scale of pion mass for the N_B=2 sector, N_B being the baryon number, which contains two dibaryon fields in addition to the nucleons and pions. It has a well-defined counting is renormalizable, and the nucleon-nucleon scattering amplitudes are manifestly unitary at leading order. We work out a lower energy effective theory for nucleons with energy much lower than the pion mass and three-momentum comparable to it, which also has a well-defined counting and is renormalizable. The dibaryon fields must also be kept as explicit degrees of freedom in this theory. We calculate the scattering amplitudes at next-to-leading order for the ¹S₀ and ³S₁ channels in this framework and obtain an excellent description of the phase shifts for center-of-mass energies in the 0--50 MeV range.

Citations

• Are Pions Perturbative in Effective Field Theory?
• Nuclear forces from chiral Lagrangians using the method of unitary transformation (I): Formalism
• Few-Nucleon Forces and Systems in Chiral Effective Field Theory
• Three-body interactions among nucleons and pions
• Chiral Dynamics in Nucleons and Nuclei

Cited by

• Effective field theory with dibaryon fields: Nucleon-nucleon amplitudes atN2LO
• Effective range expansion in various scenarios of EFT()