2011/12/31 by Shung-Ichi Ando, Chang Ho Hyun · 17 citations
Mathematics · Physics and Astronomy · #Effective field theory #Field (mathematics) #Field theory (psychology) #Mathematical physics #Mathematics #Nuclear physics research studies #Particle physics #Particle physics theoretical and experimental studies #Physics #Pion #Quantum Chromodynamics and Particle Interactions #Quantum electrodynamics #Quantum mechanics #Range (aeronautics) #Renormalization #Renormalization group #Scattering #nucl-th
paper · pdf · doi:10.1103/physrevc.86.024002
published in Physical Review C 86(2) (American Institute of Physics) · 18 pages, 14 figures, 1 table, to be published in Physical Review C
arxiv created 2012/08/16 · openalex publication_date 2012/08/17 · arxiv updated 2013/05/29 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
Contributions of perturbative pions around a nontrivial fixed point are studied by utilizing dibaryon fields. We calculate 1S0 and 3S1 phase shifts for the np scattering at low energies up to one-pion-exchange contributions. We also calculate effective range parameters, v2, v3, and v4, in the higher order of the effective range expansion, and obtain corrections of the effective range to the expressions previously reported by Cohen and Hansen. After the scattering length and the effective range are renormalized, we study the role of renormalization scale parameter \ensuremathμ and we discuss the range of validity of the theory.