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V. M. Persikov

Publications and source records attributed to V. M. Persikov.

4 recordsLinked to original sources

$σ(600)$ and background in $ππ$ scattering

We suggest a simple analytical description of the S-wave isoscalar $ππ$ amplitude, which corresponds to a joint dressing of the bare resonance and background contributions. The amplitude describes well the experimental data on the $δ^0_0$ phase shift in the energy region below 900 MeV and has two poles in the $Re s > 0$ half-plane. Besides the well-known pole of $σ(600)$-meson with $Re s \sim m_π^2$, there exists a more distant pole with $Re s \sim 0.6 GeV^2$. Our analysis indicates for the dynamical origin of the $σ(600)$ pole, while the second pole should be associated with lowest $q\bar{q}$ state.

hep-ph

Another look at the angular distributions of the $γγ\toππ$ reactions

We analyze the existing data on the angular distributions of the $γγ\to π^+ π^- ,π^0 π^0$ reactions with using of the unitary model for helicity 2 amplitude. The purpose is to obtain the D--wave parameters and S--wave cross section. We obtain from experiment in the first time the values of $α+ β$ for sum of the electric and magnetic pion's polarizabilities. We found the S-wave cross sections much smaller as compared with previous similar analysis. Comparison of the $γγ\to π^+ π^-$ and $γγ\to π^0 π^0$ data gives an indication for a marked I = 2, J = 2 contribution in region of $f_2(1270)$.

hep-ph

First estimates of the $(α+ β)^π$ from two--photon experiments

We carry out the semi--model analysis of existing data on the angular distributions of the $γγ\rightarrowπ^+ π^- ,\ π^0 π^0$ reactions with purpose to obtain S-wave cross section and D-wave's parameters. In the first time we obtain from experiment the sum of electrical and magnetic pion polarizabilities: $(α+ β)^{π^+} = 0.28 \pm 0.07$ (MARK-II \cite{M2}), \ \ $(α+ β)^{π^+} = 0.38 \pm 0.05$ (CELLO \cite{CELLO}), \ \ $(α+ β)^{π^0} = 1.26 \pm 0.06$ (Crystal Ball \cite{CB}) \ \ in units of $10^{-42} \ cm^3$ ($e^2=4 πα$).

hep-ph

Is the scalar meson seen in CELLO data on $γγ\rightarrowπ^+π^-$ ?

We analyze the CELLO angular distributions $γγ\rightarrowπ^+π^-$ with the unitary model \cite{KS-86} for helicity 2 amplitude. In contrast to previous analysis \cite{CELLO} we do not see any QED damping. The obtained S--wave does not contradict to low--energy theorem and demonstrates more clealy the resonance--like behaviour near 1.3 Gev.

hep-ph