Pion nucleon interaction in a covariant hadron exchange model
Mar, 200041 pages
Published in:
- Phys.Rev.C 61 (2000) 054003
e-Print:
- nucl-th/0003050 [nucl-th]
Report number:
- NIKHEF-99-021,
- THU-99-25
Citations per year
Abstract:
We develop a relativistic covariant and unitary description of the pion-nucleon interaction in a hadron-exchange model. The model is based on the solution of a dimensionally reduced (quasipotential) Bethe-Salpeter equation for the partial-wave off-shell scattering amplitudes with the potential consisting of the field-theoretical - and -channel nucleon, Roper, Delta, , exchanges, and the -channel and meson exchanges. The contributions of the spin-3/2 Delta and resonances are treated within the Rarita-Schwinger formalism and different forms of the vertex are investigated. The free parameters of the model are fitted to the phase-shift data of the KH80 and SM95 partial-wave analyses in the region up to 600 MeV pion kinetic energy. The resulting on-shell solution provides a good description of the scattering lengths, as well as the energy behavior of the S, P, and D partial waves. The sensitivity of the phase shifts on various model-dependent effects is examined.- pi nucleon: interaction
- hadron: exchange
- effective Lagrangian
- invariance: Lorentz
- unitarity
- pi nucleon: scattering amplitude
- partial wave analysis
- Bethe-Salpeter equation
- pi nucleon: scattering length
- model: quasipotential
References(66)
Figures(0)