2007/02/28 by L. Girlanda, W. H. Klink, M. Viviani · 7 citations
Mathematics · Physics and Astronomy · #Bound state #Covariance #Effective field theory #Mathematical physics #Mathematics #Nuclear physics research studies #Nucleon #Observable #Operator (biology) #Particle physics #Particle physics theoretical and experimental studies #Phase space #Physics #Pion #Quantum Chromodynamics and Particle Interactions #Quantum mechanics #Theoretical physics #Truncation (statistics) #nucl-th
paper · pdf · doi:10.1103/physrevc.76.044002
published in Physical Review C 76(4) (American Institute of Physics) · 17 pages, 10 figures. Revised formulation, matches the journal version
arxiv created 2007/09/15 · openalex publication_date 2007/10/08 · arxiv updated 2009/12/01 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05
We present an exploratory study consisting in the formulation of a relativistic quantum mechanics to describe few-nucleon systems at low energy, starting from the quantum field theoretical chiral Lagrangian involving pions and nucleons. To this aim we construct a Bakamjian-Thomas mass operator and perform a truncation of the Fock space that respects at each stage the relativistic covariance. Such a truncation is justified, at sufficiently low energy, in the framework of a systematic chiral expansion. As an illustration we discuss the bound-state observables and low-energy phase shifts of nucleon-nucleon and pion-nucleon scattering at the leading order of our scheme.