The πK Scattering and Related Processes

Comparison of $\pi K$ scattering in SU(3) chiral perturbation theory and dispersion relations

“…Assuming Mandelstam analyticity, the sum of partial waves for A ± (s, t) is convergent for all s if −32M 2 ≤ t ≤ 4M 2 , implying that the partial wave equations for the s-channel waves are valid in the range 2.43M 2 ≤ s ≤ 57.14M 2 . Analogously, for the t-channel partial wave equations, the range of validity is −28.2M 2 ≤ t ≤ 82.2M 2 [4]. The Steiner-Roy equations for the s-channel S-and P -waves from T + read (in the S-and P -wave approximation)…”

“…Since πK scattering at low energies is dominated by the S-and P -waves, a detailed knowledge of these waves is important. Stringent constraints resulting from axiomatic analyticity and crossing are best expressed in terms of integral (Steiner-Roy) equations [4,17,18,19]. These equations are the ideal starting point for a future analysis of πK scattering information.…”

Recent developments in chiral perturbation theory

“…[66]), the result of a Roy equation study [88] and a dispersive analysis [89]. The uncertainty in the prediction comes from the uncertainties of the L r i added in quadrature (which is a conservative estimate).…”

Kπscattering for isospin12and32Lang1, Leskovec2, Mohler3 et al. 2012Phys. Rev. DSelf Cite8391100View full textAdd to dashboardCite

“…The third and fourth level at E 3 = 1.720 (17) GeV and E 4 = 1.817(28) GeV are most probably related to the wide resonances K * (1410) , K * (1680) which are the only p wave resonances which appear between 1 and 2 GeV in experiment. However, the level E 3 appears too high in comparison to the K * (1410) even if one takes into consideration its large experimental width Γ exp = 232(21) MeV and our unphysical m π,K .…”

“…The kinematics of K π-scattering, the analytical structure of the partial wave amplitudes and the experimental results until the late 1970s have been reviewed in Ref. [17].…”