K-matrix analysis of the (IJ(PC)=00(++)) amplitude in the mass region up to 1550 MeV

K-matrix analysis of the 00(++) wave is performed in the channels pi pi, <K(K)over bar>, eta eta and 4 pi in the mass region up to 1550 MeV. The fit is based on the following data: <p(p)over bar> (at rest)-->pi(0) pi(0) pi(0), pi(0) pi(0) eta, pi(0) eta eta [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], pi N --> pi pi N [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. Aide et al., Study of the f(0)(995) resonance in the pi(0) pi(0) decay channel, Preprint CERN-PPE/94-157, 1994], pi N --> K(K) over barN$ [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 pi pi interaction [M. Alston-Garnjost et al., Phys. Lett. B 36 (1971) 152]. Simultaneous analysis of these data confirms the existence of the scalar resonances: f(0)(980), f(0)(1300) and f(0)(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 pi pi, eta eta and <K(K)over bar> channels are found that allow us to analyze the quark and gluonic content of bare states. It is shown that f(0)(base)(1240) and f(0)(base)(1615) (which are strongly related to f(0)(1500)) can be considered as good candidates for scalar glueball.