Abstract
A combined fit is made to E791 data on D→Kππ, LASS data on Kπ elastic scattering, and BES II data on J/Ψ→K∗(890)Kπ. In all cases, the Kπ S-wave is fitted well with a κ pole and K0(1430); the κ requires an s-dependent width with an Adler zero near threshold. The pole position of the κ is at M=(750−55+30)−i(342±60) MeV. The E791 Collaboration fitted their data using a form factor for the production process D→κπ. It is shown that this form factor is not needed. The data require point-like production with an RMS radius <0.38 fm with 95% confidence.
Highlights
A combined fit is made to E791 data on D → Kππ, LASS data on Kπ elastic scattering, and BES II data on J/Ψ → K∗(890)Kπ
A feature requiring the presence of the S-wave is strong interference with K∗(890); this produces a cos θ asymmetry in the Kπ angular distribution
The objective of the present paper is to show that their data are accurately consistent with those from LASS and BES if one introduces into the elastic scattering amplitude the Adler zero of Chiral Perturbation Theory (ChPT)
Summary
A combined fit is made to E791 data on D → Kππ, LASS data on Kπ elastic scattering, and BES II data on J/Ψ → K∗(890)Kπ. LASS data on Kπ elastic scattering were fitted originally with an effective range formula and no κ pole [1]. The objective of the present paper is to show that their data are accurately consistent with those from LASS and BES if one introduces into the elastic scattering amplitude the Adler zero of ChPT.
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