Unitarization Technics in Hadron Physics with Historical Remarks
arXiv:2005.14417
Abstract
We review a series of unitarization techniques that have been used during the last decades, many of them in connection with the advent and development of current algebra and later of Chiral Perturbation Theory. Several methods are discussed like the generalized effective-range expansion, K-matrix approach, Inverse Amplitude Method, Padé approximants and the N/D method. More details are given for the latter though. We also consider how to implement them in order to correct by final-state interactions. In connection with this some other methods are also introduced like the expansion of the inverse of the form factor, the Omnés solution, generalization to coupled channels and the Khuri-Treiman formalism, among others.
arXiv comment45 pages, 2 figures. Invited contribution to a special issue on "Effective Field Theories - Chiral Perturbation Theory and Non-relativistic QFT". Updated to match the published version
References in corpus (46)
- General relativity as an effective field theory: The leading quantum corrections
- Chiral dynamics in the presence of bound states: kaon-nucleon interactions revisited
- Non perturbative chiral approach to s-wave \bar{K}N interactions
- Quantum Gravity in Everyday Life: General Relativity as an Effective Field Theory
- Chiral Symmetry Amplitudes in the S-Wave Isoscalar and Isovector Channels and the σ, f_0(980), a_0(980) Scalar Mesons
- Chiral symmetry amplitudes in the s-wave isoscalar and isovector channels and the scalar mesons
- Chiral Dynamics of the Two Λ(1405) States
- Chiral Dynamics and the Low Energy Kaon-Nucleon Interaction
- Chiral perturbation theory
- Meson-Meson interaction in a non-perturbative chiral approach
- The pion-pion scattering amplitude. IV: Improved analysis with once subtracted Roy-like equations up to 1100 MeV
- Roy equation analysis of pi pi scattering
- Non-perturbative Approach to effective chiral Lagrangians and Meson Interactions
- S-wave Kpi scattering in chiral perturbation theory with resonances
- Power counting with one-pion exchange
- Meson-baryon reactions with strangeness -1 within a chiral framework
- Strangeness-changing scalar form factors
- Dispersive analysis of the decay eta -> 3 pi
- Identification of a Scalar Glueball
- Coupled-Channel , and Scattering from Lattice QCD
- Two-pole structure of the
- at Two Loops In Chiral Perturbation Theory
- J/Ψ\to ϕππ(K \bar{K}) decays, chiral dynamcis and OZI violation
- K-matrix analysis of the (IJ^{PC}=00^{++})-wave in the mass region below 1900 MeV
- Resonances from meson-meson scattering in U(3) CHPT
- Chiral dynamics in form factors, spectral-function sum rules, meson-meson scattering and semilocal duality
- Pion and Kaon Vector Form Factors
- The Mixing Angle of the Lightest Scalar Nonet
- Towards a precise determination of the scattering amplitudes of the charmed and light-flavor pseudoscalar mesons
- Hadronic eta and eta-prime decays
- Improved dispersion relations for γγ\to π^0π^0
- Another look at scattering in the scalar channel
- Chiral study of the resonance and scattering phase shifts in light of a recent lattice simulation
- The Inverse Amplitude Method in Scattering in Chiral Perturbation Theory to Two Loops
- Resummation of fermionic in-medium ladder diagrams to all orders
- Scalar radius of the pion and zeros in the form factor
- Three-body final state interaction in updated
- Hadronic decays of eta and eta-prime with coupled channels
- Hyperon resonances coupled to pseudoscalar- and vector-baryon channels
- The existence of a two-solar mass neutron star constrains the gravitational constant G_N at strong field
- Nucleon-Nucleon scattering from the dispersive N/D method: next-to-leading order study
- Resonant production of Wh and Zh at the LHC
- An in-medium chiral power counting for nuclear matter and some applications
- Theoretical Study of the γγ-->meson-meson Reaction (HADRON'97)
- Nature of from the line shape
- Hyperon resonances and meson-baryon interactions in isospin 1