Bakamjian-Thomas mass operator for the few-nucleon system from chiral dynamics
arXiv:nucl-th/0702024 · doi:10.1103/PhysRevC.76.044002
Abstract
We present an exploratory study consisting in the formulation of a relativistic quantum mechanics to describe the few-nucleon system 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 which respects at each stage the relativistic covariance. Such 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 phaseshifts of the nucleon-nucleon and pion-nucleon scattering at the leading order of our scheme.
17 pages, 10 figures. Revised formulation, matches the journal version