K-matrix analysis of the (IJPC = 00++) amplitude in the mass region up to 1550 MeV Original Research Article

K-matrix analysis of the 00++ wave is performed in the channels ππ, KK, ηη and 4π in the mass region up to 1550 MeV. The fit is based on the following data: pp (at rest) → π0π0π0, π0π0η, π0ηη [V.V. Anisovich et al., Phys. Lett. B 323 (1994) 233; C. Amsler et al., Phys. Lett. B 333 (1994) 277; B 342 (1995) 433], πN → ππN [B. Hyams et al., Nucl. Phys. B 64 (1973) 134; A.A. Kondashov et al., Proc. 27th Intern. Conf. on High Energy Physics, Glasgow (1994) 1407; Yu.D. Prokoshkin et al., Physics-Doklady (1995), in press; D. Alde et al., Study of the f0(995) resonance in the π0π0 decay channel, Preprint CERN-PPE/94-157, 1994], πN → KKN [S.J. Lindenbaum and R.S. Longacre, Phys. Lett. B 274 (1992) 492; A. Etkin et al., Phys. Rev. D 25 (1982) 1786] and the inelastic cross section of the ππ interaction [M. Alston-Garnjost et al., Phys. Lett. B 36 (1971) 152]. Simultaneous analysis of these data confirms the existence of the scalar resonances: f0(980), f0(1300) and f0(1500), the poles of the amplitude being at the following complex masses (in MeV): (1008 ± 10) − i(43 ± 5), (1290 ± 25) − i(120 ± 15), and (1497 − 6) − i(61 ± 5). The fourth pole has sunk deeply into the complex plane: (1430 ± 150) − i(600 ± 100). Positions of the K-matrix poles (which are referred to the masses of bare states) are at 750 ± 120 MeV, 1240 ± 30 MeV, 1280 ± 30 MeV and 1615 ± 40 MeV. Coupling constants of the K-matrix poles to the ππ, ηη and KK channels are found that allow us to analyze the quark and gluonic content of bare states. It is shown that f0bare(1240) and f0bare(1615) (which are strongly related to f0(1500)) can be considered as good candidates for scalar glueball.