The eta' in baryon chiral perturbation theory

Abstract

We include in a systematic way the eta' in baryon chiral perturbation theory. The most general relativistic effective Lagrangian describing the interaction of the lowest lying baryon octet with the Goldstone boson octet and the eta' is presented up to linear order in the derivative expansion and its heavy baryon limit is obtained. As explicit examples, we calculate the baryon masses and the pi N sigma-term up to one-loop order in the heavy baryon formulation. A systematic expansion in the meson masses is possible, and appearing divergences are renormalized.

16 pages, 2 figures

Cited by in corpus (12)

• eta-prime nucleus optical potential and possible eta-prime bound states
• The electric dipole moment of the neutron in chiral perturbation theory
• Axion-like Particle Searches at DarkQuest
• Eta, eta-prime photoproduction and electroproduction off nucleons
• Chiral unitary approach to η' N scattering at low energies
• U(3) chiral perturbation theory with infrared regularization
• Spectral function of the ${\eta }^{\prime }$ meson in nuclear medium based on phenomenological models
• Threshold eta and eta' electroproduction off nucleons
• Theoretical study of photoproduction of ${\eta }^{\prime }N$ bound state on deuteron target with forward proton emission
• Possible ${\eta }^{\prime }d$ bound state and its $s$-channel formation in the $\gamma d\to \eta d$ reaction
• Effect of the final state interaction of ${\eta }^{\prime }N$ on the ${\eta }^{\prime }$ photoproduction off nucleon
• The ${\eta }^{\prime }N$ interaction from the ${\eta }^{\prime }p$ correlation function