Journal Article FZJ-2021-02196

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On the scalar ${\pi K}$ form factor beyond the elastic region

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2021
Springer Heidelberg

The European physical journal / C 81(5), 420 () [10.1140/epjc/s10052-021-09169-7]

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Abstract: Pion–kaon (πK) pairs occur frequently as final states in heavy-particle decays. A consistent treatment of πK scattering and production amplitudes over a wide energy range is therefore mandatory for multiple applications: in Standard Model tests; to describe crossed channels in the quest for exotic hadronic states; and for an improved spectroscopy of excited kaon resonances. In the elastic region, the phase shifts of πK scattering in a given partial wave are related to the phases of the respective πK form factors by Watson’s theorem. Going beyond that, we here construct a representation of the scalar πK form factor that includes inelastic effects via resonance exchange, while fulfilling all constraints from πK scattering and maintaining the correct analytic structure. As a first application, we consider the decay τ→KSπντ, in particular, we study to which extent the S-wave K∗0(1430) and the P-wave K∗(1410) resonances can be differentiated and provide an improved estimate of the CP asymmetry produced by a tensor operator.

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Contributing Institute(s):
  1. Theorie der Starken Wechselwirkung (IAS-4)
  2. Theorie der starken Wechselwirkung (IKP-3)
Research Program(s):
  1. 111 - Energiesystemtransformation (POF4-111) (POF4-111)
  2. DFG project 196253076 - TRR 110: Symmetrien und Strukturbildung in der Quantenchromodynamik (196253076) (196253076)

Appears in the scientific report 2021
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 Record created 2021-05-18, last modified 2024-06-10


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piKFFbeyond_arXiv - Download fulltext PDF
Detten2021_Article_OnTheScalarVarvecPiKΠKFormFact - Download fulltext PDF
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