New formulation of pion - nucleon scattering and soft pion theorems in the Skyrme model

Jan, 1992
30 pages
Published in:
  • Phys.Rev.D 46 (1992) 4856-4867
Report number:
  • SAGA-HE-38

Citations per year

1993200120092017202301234
Abstract: (APS)
We present a new formulation of pion-nucleon scattering and the soft-pion theorems in the Skyrme model, where the reduction formula of the S matrix and the currents are described in terms of the original canonical fields, which are not yet transformed into the Skyrmion and fluctuation fields in the one-Skyrmion sector. Not referring to any constraints and gauge-fixing conditions imposed on fluctuation fields and collective coordinates, we can easily obtain the Born terms with both of the rotational and translational modes and the soft-pion theorems.
  • pi nucleon: interaction
  • interaction: pi nucleon
  • Skyrme model: SU(2)
  • scattering: meson soliton
  • meson soliton: scattering
  • dimension: 2
  • scattering amplitude: forward scattering
  • forward scattering: scattering amplitude
  • PCAC model
  • current algebra: SU(2) x SU(2)