We describe the meson-meson data for the (IJPC=00++) wave at 280≤√s≤1900MeV in two approaches: (i) the K-matrix approach and (ii) the dispersion relation D-matrix method. With a good description of low-energy data (at 280≤√s≤900MeV) as well as the data of two-meson transition amplitudes and antiproton-proton annihilation into three pseudoscalar meson states (at 450≤√s≤1950MeV) we have found the positions of the resonance poles: (i) for the σ meson pole: Mσ= (390±35)-i(235±50)MeV; (ii) two poles for the f0(980), on the second sheet (under the ππ cut): MI=(1011±5)- i(35±5)MeV, and on the third sheet (under the ππ and KK̄ cuts), MII=(1035±50)-i(460±50)MeV; for the f 0(1370) meson, M=(1285±30)-i(160±20)MeV; for the f 0(1500) meson, M=(1488±4)-i(53±5)MeV; for the f 0(1790) meson, M=(1775±25)-i(140±15)MeV; and for the broad state f0(1200-1600) M=(1540±120)-i(550±70)MeV. Our estimation of the scalar-isoscalar scattering length obtained under different parameterizations and assumptions about the quality of low-energy ππ scattering data is a00=(0.215±0.040)mπ-1. We also discuss the idea according to which the σ meson could be a remnant of the confinement singularity, 1/s2, in a white channel.
|Journal||Physical Review D - Particles, Fields, Gravitation and Cosmology|
|State||Published - 5 Oct 2011|
ASJC Scopus subject areas
- Nuclear and High Energy Physics
- Physics and Astronomy (miscellaneous)