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Pion Production in Pion-Nucleon Collisions
Physical Review, 1957The production of a single pion in pion-nucleon collisions has been studied by using the Chew-Low formalism with $p$-wave coupling. The equation for the $T$-matrix is solved by using the one-meson approximation. The solution is used to compute the cross sections for pion production and the two-meson corrections to the scattering equation of Chew and ...
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Perturbation Theory of Pion-Pion Interaction. II. Two-Pion Approximation
Physical Review, 1962Using the model of a four-particle direct interaction without derivative coupling, relations are obtained between the renormallzed quantities related to pion-pion interactions. Considering only the two-pion intermediate states but preserving crossing symmetry and unitarity up to the production threshold, closed systems of nonlinear integral equations ...
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Pion-pion amplitudes from low energy pion-production
Physics Letters, 1962The amplitudes of the process pi + N yields 2 pi + N are approximately summing all one-particle states (six nucleonpoles and one pion- pole) and allowing for the influence of more-particle states by reducing the obtained cross sections by 25%. Theoretical cross sections, including the pi - pole contributions, are adapted to the experimental cross ...
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Pion Production in Pion-Nucleon Scattering
Physical Review, 1957Made available in DSpace on 2015-05-12T17:12:02Z (GMT). No. of bitstreams: 2 license.txt: 4848 bytes, checksum: 96035ab3f5e1c23cc7138a224ce498bd (MD5) 0018135.PDF: 1835414 bytes, checksum: 69c5ede31d51bdb49056d3b2910a55b5 (MD5) Previous issue date: 1956 ; Embargo set by: Seth Robbins for item 77503 Lift date: Forever Reason: Restricted to the U of I ...
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Pion-Pion Scattering and Low-Energy Pion Production
Physical Review, 1962A model for the reaction $\ensuremath{\pi}+N\ensuremath{\rightarrow}2\ensuremath{\pi}+N$ at low energies, with $\ensuremath{\pi}\ensuremath{-}\ensuremath{\pi}$ scattering lengths as parameters, discussed in a previous analysis is extended by removing the assumption that $\frac{{a}_{0}}{{a}_{2}}=\frac{5}{2}$. The parameters are determined by using the ${
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Asymptotic Pion-Pion Elastic Scattering Amplitude
Physical Review, 1963The elastic scattering amplitude for neutral pseudoscalar particles is calculated in the limit of high energies and small momentum transfer. We have kept all inelastic channels in the intermediate state and exchanging only two particles. This resulting expression gives the upper and lower bounds on the total cross section $\frac{b}{s}l\ensuremath ...
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Insights into the emergence of mass from studies of pion and kaon structure
Progress in Particle and Nuclear Physics, 2021Craig D Roberts +2 more
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Constraints on the two-pion contribution to hadronic vacuum polarization
Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics, 2021Gilberto Colangelo +2 more
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