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E. V. Razueva

Publications and source records attributed to E. V. Razueva.

3 recordsLinked to original sources

Double integral representation in the invariant masses of a composite system and nonperturbative calculation of the asymptotics of light-meson electromagnetic form factors

We obtain nonperturbative asymptotic expansions of the electromagnetic form factors of the pi and rho mesons at large spacelike momentum transfer, Q^2->\infty. The calculation is based on a double integral representation in the invariant masses of the composite system. The model parameters are kept at the values fixed in the authors' earlier description of meson electroweak properties. We show that, in the limit of vanishing constituent-quark mass, with the constituent quarks taken to be pointlike, the asymptotic ratio of the longitudinally polarized rho-meson to pion form factors in the helicity basis is consistent with the prediction of perturbative QCD (pQCD) within the adopted parameter ranges.

hep-ph↗

Elliptic umbilic representations connected with the caustic

We investigate the elliptic umbilic canonical integral with an approach based on a series expansion of its initial distribution shifted to the caustic points. An absolutely convergent integral representation for the elliptic umbilic is obtained. Using it, we find the elliptic umbilic particular values in terms of 2F2 hypergeometric functions. We also derive an integral over the product of Gaussian and two Airy functions in terms of Bessel functions of fractional orders. Some other corollaries including 3F2 hypergeometric function special values and the Airy polynomials relations are also discussed.

math.CA↗