Download Specialization: 510402 Physics Supervisor of the curriculum: Prof. Dr. Yu.Yu. Dmitriev

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Specialization: 510402 Physics
Curriculum: 32 Quantum mechanics of atoms, molecules and solids
Supervisor of the curriculum: Prof. Dr. Yu.Yu. Dmitriev
Department of quantum mechanics
Scientific advisers: Candidate of Science, Associate Professor A.V. Anisovich ;
Reviewer Candidate of Science, Associate Professor. V.V. Vereshhagin
The analysis of the meson-meson data in the framework of the dispersion $D$matrix method
The meson-meson data for the IJPC=00++ wave at 280 ≤ s ≤ 1900 MeV are described
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 ≤ 900 MeV as well as the data of two-meson transition
amplitudes and antiproton-proton annihilation into three pseudoscalar meson states
(at 450≤ s ≤ 1950 MeV) we have found the positions of the resonance poles:
for the σ - meson pole: : M σ = (390± 35)-i(235±50) MeV; and for the f0(980),
f0(1370), f0(1500), f0(1790), f0(1200-1600) mesons. 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)μ-1π. We also discuss the idea according to which the σ -meson could be a
remnant of the confinement singularity1/s2 in a white channel.
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