Spectrum of Virtual Photons in the Electroproduction of Negatively Charged Pions on Deuterons

Numerical and analytical calculations of the virtual photon spectrum have been performed for the electroproduction of negatively charged pions on a deuteron. The numerical calculations of the virtual photon spectrum were performed without recourse to any approximations while a number of approximatio...

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Bibliographic Details
Published in:Russian physics journal 2017-11, Vol.60 (7), p.1182-1188
Main Authors: Gauzshtein, V. V., Gramolin, A. V., Zevakov, S. A., Levchuk, M. I., Loginov, A. Yu, Nikolenko, D. M., Rachek, I. A., Sadykov, R. Sh, Toporkov, D. K., Shestakov, Yu. V.
Format: Article
Language:English
Subjects:
ANALYTIC FUNCTIONS
ASYMMETRY
ATOMIC AND MOLECULAR PHYSICS
Condensed Matter Physics
DEUTERONS
ELECTROPRODUCTION
Hadrons
Heavy Ions
Lasers
Mathematical analysis
Mathematical and Computational Physics
Mathematical models
Nuclear Physics
Numerical analysis
Numerical methods
Optical Devices
Optics
Photonics
PHOTONS
PHOTOPRODUCTION
Physics
Physics and Astronomy
Pions
PIONS MINUS
SPECTRA
Statistical methods
STATISTICAL MODELS
Theoretical
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Summary:Numerical and analytical calculations of the virtual photon spectrum have been performed for the electroproduction of negatively charged pions on a deuteron. The numerical calculations of the virtual photon spectrum were performed without recourse to any approximations while a number of approximations were admitted in the derivation of the analytical expression. A comparison of the results of an exact numerical calculation of the virtual photon spectrum with the results of a calculation obtained using an approximate analytical expression for the virtual photon spectrum has been performed for the first time. It is shown that the discrepancy between the virtual photon spectra obtained with the help of numerical and analytical methods can reach 10% in the kinematic region of photoproduction of pions with intermediate energies. It follows from the obtained results that in the statistical modeling of the yields of the reaction of photoproduction of negatively charged pions on a deuteron it is necessary to use the exact virtual photon spectrum obtained with the help of numerical methods whereas in the statistical modeling of the asymmetry of reactions of photoproduction of negatively charged pions on a deuteron it is sufficient to use the approximate analytical expression for the virtual photon spectrum.
ISSN:1064-8887
1573-9228
DOI:10.1007/s11182-017-1193-5