Bootstrap and the physical values of $\pi N$ resonance parameters

Abstract

This is the 6th paper in the series developing the formalism to manage the effective scattering theory of strong interactions. Relying on the theoretical scheme suggested in our previous publications we concentrate here on the practical aspect and apply our technique to the elastic pion-nucleon scattering amplitude. We test numerically the pion-nucleon spectrum sum rules that follow from the tree level bootstrap constraints. We show how these constraints can be used to estimate the tensor and vector $NN\rho$ coupling constants. At last, we demonstrate that the tree-level low energy expansion coefficients computed in the framework of our approach show nice agreement with known experimental data. These results allow us to claim that the extended perturbation scheme is quite reasonable from the computational point of view.

41 pages, 7 figures

References in corpus (11)

• Big-Bang nucleosynthesis (Particle Data Group mini-review)
• The Cosmological Parameters 2006
• Extended Partial-Wave Analysis of piN Scattering Data
• Putative Light Scalar Nonet
• Simple Description of Pion-Pion Scattering to 1 GeV
• Evidence for a scalar kappa(900) resonance in pi-K scattering
• Unitarized pseudoscalar meson scattering amplitudes in three flavor linear sigma models
• Tree-level (pi, K)-amplitude and analyticity
• Effective theories with maximal analyticity
• The resultant parameters of effective theory
• On the S-matrix renormalization in effective theories

Cited by in corpus (7)

• πN transition distribution amplitudes: Their symmetries and constraints from chiral dynamics
• $\Omega (2012)$ through the looking glass of flavour SU(3)
• Transition distribution amplitudes and hard exclusive reactions with baryon number transfer
• Backward timelike Compton scattering to decipher the photon content of the nucleon
• The dual parametrization for gluon GPDs
• Crossed channel analysis of quark and gluon generalized parton distributions with helicity flip
• Differential technique for the covariant orbital angular momentum operators