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Revisiting $KN$ elastic and charge exchange reactions in search of the pentaquark $\Theta^+$ baryon by Yu, Byung-Geel; Kong, Kook-Jin; Choi, Tae Keun is a scholarly article available to read on EtoBox.

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In the search for the pentaquark $\Theta^+$ baryon, the world data on $K^+n\to K^+n$ and $K^+n\to K^0\,p$ reactions on the deuteron target and $K^0\,p\to K^+n$ and $K^0_L\,p\to K^0_S\,p$ reactions on the hydrogen target are revisited to study the isoscalar component of the scattering amplitudes. The determination of the $s$- and $p$-wave phase shifts for the two former channels on the deuteron target is presented in the low momentum region with the uncertainty due to the deuteron form factors at forward angles discussed. For the reactions on hydrogen targets, a similarity expected from time reversal between the charge exchange processes $K^+n\to K^0\,p$ and $K^0\,p\to K^+n$ is exploited, while we present the analysis of the $K_L^0\,p\to K_S^0\,p$ scattering based on the $s$-wave phase shift for low momenta combined with the $t$-channel $\rho^0(775)+\omega(782)+\phi(1020)$ vector meson exchange at high momenta. With the mass 1535 MeV and decay width 5 MeV the possibility of the $\Theta^+$ in the Breit-Wigner (BW) form is tested in the differential cross section measured by C. J. S. Damerell {\it et\ al.} at ${\rm P_{Lab}}=434$ MeV/$c$ and polarization. Our analysis suggests measurin

Author

Yu, Byung-Geel; Kong, Kook-Jin; Choi, Tae Keun

Published

2024

Language

EN