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$\pi \pi$ Scattering and Pion Form Factors
High Energy Physics - Phenomenology · Submitted 23 Mar 1994
abstract compiled · 2026-09-23 · no language-model review
The authors' main claim Using these phase shifts, the vector and scalar form factors are calculated and shown to be in a good agreement with experimental data.
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The abstract, sentence by sentence
The S and P wave $\pi \pi$ phase shifts are recalculated in terms of two phenomenological parameters using the one loop CPTh and the elastic unitarity condition. Using these phase shifts, the vector and scalar form factors are calculated and shown to be in a good agreement with experimental data. It is found that the simpler and more phenomenological approach, where the left hand cut contributions to the partial wave amplitude are neglected, yields approximately the same result.
background contribution method result interpretation main claim
| # | sentence | role | the authors' own work | states the main conclusion | strength |
|---|---|---|---|---|---|
| s0 | The S and P wave $\pi \pi$ phase shifts are recalculated in terms of two phenomenological parameters using the one loop CPTh and the elastic unitarity condition. | method 0.72 | 0.90 | 0.12 | asserted 1.00 |
| s1 | Using these phase shifts, the vector and scalar form factors are calculated and shown to be in a good agreement with experimental data. | result 0.99 | 0.93 | 0.48 | asserted 1.00 |
| s2 | It is found that the simpler and more phenomenological approach, where the left hand cut contributions to the partial wave amplitude are neglected, yields approximately the same result. | result 0.95 | 0.91 | 0.27 | asserted 1.00 |
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Original abstract
The S and P wave $\pi \pi$ phase shifts are recalculated in terms of two phenomenological parameters using the one loop CPTh and the elastic unitarity condition. Using these phase shifts, the vector and scalar form factors are calculated and shown to be in a good agreement with experimental data. It is found that the simpler and more phenomenological approach, where the left hand cut contributions to the partial wave amplitude are neglected, yields approximately the same result.
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