Theory of the Low-Energy Pion-Pion Interaction
From MaRDI portal
Publication:3269832
DOI10.1103/PhysRev.119.467zbMath0093.21801OpenAlexW2067854637MaRDI QIDQ3269832
S. Mandelstam, Geoffrey F. Chew
Publication date: 1960
Published in: Physical Review (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1103/physrev.119.467
Related Items (55)
Existence of Solutions of Crossing-Symmetric N/D Equations ⋮ Existence of Solutions of N/D Equations ⋮ Best Error Bounds for Padé Approximants to Convergent Series of Stieltjes ⋮ Theory of nucleon-nucleon scattering in the strip approximation to the Mandelstam representation ⋮ Coupled-channel \(D\pi\), \(D\eta\) and \(D_s\overline K\) scattering from lattice QCD ⋮ Regge poles as consequence of analyticity and unitarity ⋮ On a mathematical problem encountered in quantum field theory ⋮ Asymptotic behaviour of a function expressed through a dispersion integral ⋮ On the Existence of Solutions of the Pion-Pion Dispersion Equations — I ⋮ A field-theoretic proof of a modified version of Levinson’s theorem ⋮ Bound-state peripheral wave function ⋮ Analyticity of Amplitudes and Separable Potentials ⋮ Remarks on the Analytic Continuation of the Partial-Wave Amplitude ⋮ <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mfrac><mml:mrow><mml:mi>N</mml:mi></mml:mrow><mml:mrow><mml:mi>D</mml:mi></mml:mrow></mml:mfrac></mml:math>Method for Complex Partial Waves ⋮ A reciprocal bootstrap mechanism for quarks ⋮ Study of pion-hyperon resonances by dispersion relations in the unphysical sheet ⋮ Existence of solutions of partial-wave dispersion relations ⋮ A generating function for Chew–Mandelstam functions ⋮ Towards a theory of hadron resonances ⋮ Chiral perturbation theory for heavy hadrons and chiral effective field theory for heavy hadronic molecules ⋮ <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mi>S</mml:mi></mml:math>-Wave Dominant Solutions of the Pion-Pion Integral Equations ⋮ Partial-Wave Dispersion Relations for Pion-Nucleon Scattering ⋮ Application of the Mandelstam Representation to Photoproduction of Pions from Nucleons ⋮ Theory of the low-energy pion-pion interaction — II ⋮ On the Strong Interactions of the Strange Particles ⋮ Pion-Nucleon Scattering in the Mandelstam Representation ⋮ Determination of Pion-Pion Scattering Amplitudes Satisfying Dispersion Relations and Unitarity ⋮ Continuation of Scattering Amplitudes and Form Factors through Two-Particle Branch Lines ⋮ Model for the Two-Pion and Three-Pion Resonances ⋮ Construction of Unitary Scattering Amplitudes ⋮ Elementary and Composite Particles ⋮ Final state interaction andCP invariance in radiative Kπ2 decay ⋮ Pion-pion scattering in the two-pion exchange approximation ⋮ Meson-meson scattering in QCD-like theories ⋮ Upper Limits for Coupling Constants in Field Theories ⋮ Derivation of the<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mi>CPT</mml:mi></mml:math>Theorem and the Connection between Spin and Statistics from Postulates of the<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mi>S</mml:mi></mml:math>-Matrix Theory ⋮ Two Pomeranchuk-Regge Trajectories ⋮ Pion Production in Pion-Pion Collisions ⋮ On the equivalence of different treatments of two-body final-state interactions ⋮ Potential Scattering ⋮ Dynamical Theory for Strong Interactions at Low Momentum Transfers but Arbitrary Energies ⋮ Low-energy πN scattering and the un-reggeized strip approximation ⋮ On the relativistic effects in low-energy pion-nucleon scattering ⋮ The effect of a pion-pion interaction on low-energy pion-nucleon scattering ⋮ Anomalous Thresholds ⋮ Perturbation Theory of Pion-Pion Interaction. II. Two-Pion Approximation ⋮ On the decay of the η-meson ⋮ <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mfrac><mml:mrow><mml:mi>N</mml:mi></mml:mrow><mml:mrow><mml:mi>D</mml:mi></mml:mrow></mml:mfrac></mml:math>Method ⋮ Roy equation analysis of \(\pi \pi\) scattering ⋮ The exact discontinuity of a partial wave along the left-hand cut and the exact \(N/D\) method in non-relativistic scattering ⋮ Uniqueness and symmetry breaking in S-matrix theory ⋮ Fredholm Character of the<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mfrac><mml:mrow><mml:mi>N</mml:mi></mml:mrow><mml:mrow><mml:mi>D</mml:mi></mml:mrow></mml:mfrac></mml:math>Equations ⋮ Extension of Levinson's Theorem to the Relativistic Case ⋮ Scientific biography of Stanley Mandelstam: 1955–1980 ⋮ The guiding influence of Stanley Mandelstam, fromS-matrix theory to string theory
Cites Work
This page was built for publication: Theory of the Low-Energy Pion-Pion Interaction