Bakamjian-Thomas mass operator for the few-nucleon system from chiral dynamics

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

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Cited by in corpus (5)

• How (not) to renormalize integral equations with singular potentials in effective field theory
• How to renormalize integral equations with singular potentials in effective field theory
• Point-Form Hamiltonian Dynamics and Applications
• Electromagnetic Properties of Few-Body Systems Within a Point-Form Approach
• A nuclear model with explicit mesons