Physics – High Energy Physics – High Energy Physics - Phenomenology
Scientific paper
2006-03-08
Nucl.Phys.A775:212-223,2006
Physics
High Energy Physics
High Energy Physics - Phenomenology
14 pages + 4 postscript figures; discussions largely expanded; references added; version to appear in NPA; title changed in th
Scientific paper
10.1016/j.nuclphysa.2006.06.170
We point out that the dispersion relation for the left hand cut integral presented in one of our previous paper (Nucl. Phys. {\bf A}733(2004)235) is actually free of subtraction constant, even for unequal mass elastic scatterings. A new fit to the LASS data~\cite{Aston} is performed and firm evidence for the existence of $\kappa$ pole is found. The correct use of analyticity also put strong constraints on threshold parameters -- which are found to be in good agreement with those obtained from chiral theories. We also determined the pole parameters of $K_0^*(1430)$ on the second sheet, and reconfirm the existence of $K_0^*(1950)$ on the third sheet. We stress that the LASS data do not require them to have the twin pole structure of a typical Breit--Wigner resonance.
Zheng H. Q.
Zhou Zhi-Yong
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