Abstract
The one-photon bremsstrahlung correction for symmetrical lepton pair production is newly calculated. For this, from all the Feynman diagrams, the subset is picked out for this process which essentially contributes to the symmetrical case. The matrix element square value for the chosen sub-set is expressed by the Bethe-Heitler matrix element square value provided with certain kinematic factors (Huld relationship), where a) a development after the energy of the Bremsquantum, assumed to be small, is carried out and the series is cut off after the second term beyond the infrared section, b) a high-energy approximation is made. Furthermore, c) the structure of the target nucleus and of the recoil transfered to it is neglected, d) the integration on the phase space of the bremsquantitum is carried out with a peaking approximation. All these approximations are individually discussed, and the validity limits which they set for the bremsstrahlung in the result are accurately given.
Citation Formats
Elend, H H.
Radiative corrections for the leptonic pair production.
Germany: N. p.,
1971.
Web.
Elend, H H.
Radiative corrections for the leptonic pair production.
Germany.
Elend, H H.
1971.
"Radiative corrections for the leptonic pair production."
Germany.
@misc{etde_7230117,
title = {Radiative corrections for the leptonic pair production}
author = {Elend, H H}
abstractNote = {The one-photon bremsstrahlung correction for symmetrical lepton pair production is newly calculated. For this, from all the Feynman diagrams, the subset is picked out for this process which essentially contributes to the symmetrical case. The matrix element square value for the chosen sub-set is expressed by the Bethe-Heitler matrix element square value provided with certain kinematic factors (Huld relationship), where a) a development after the energy of the Bremsquantum, assumed to be small, is carried out and the series is cut off after the second term beyond the infrared section, b) a high-energy approximation is made. Furthermore, c) the structure of the target nucleus and of the recoil transfered to it is neglected, d) the integration on the phase space of the bremsquantitum is carried out with a peaking approximation. All these approximations are individually discussed, and the validity limits which they set for the bremsstrahlung in the result are accurately given.}
place = {Germany}
year = {1971}
month = {Jan}
}
title = {Radiative corrections for the leptonic pair production}
author = {Elend, H H}
abstractNote = {The one-photon bremsstrahlung correction for symmetrical lepton pair production is newly calculated. For this, from all the Feynman diagrams, the subset is picked out for this process which essentially contributes to the symmetrical case. The matrix element square value for the chosen sub-set is expressed by the Bethe-Heitler matrix element square value provided with certain kinematic factors (Huld relationship), where a) a development after the energy of the Bremsquantum, assumed to be small, is carried out and the series is cut off after the second term beyond the infrared section, b) a high-energy approximation is made. Furthermore, c) the structure of the target nucleus and of the recoil transfered to it is neglected, d) the integration on the phase space of the bremsquantitum is carried out with a peaking approximation. All these approximations are individually discussed, and the validity limits which they set for the bremsstrahlung in the result are accurately given.}
place = {Germany}
year = {1971}
month = {Jan}
}