Relationship between T-invariance and formation mechanisms for T-odd and T-even asymmetries in the angular distributions of fission fragments of oriented nuclei
- Authors: Kadmensky S.G.1, Kostryukov P.V.1
-
Affiliations:
- Voronezh State University
- Issue: Vol 80, No 5 (2017)
- Pages: 895-902
- Section: Proceedings of LXVI International Conference on Nuclear Spectroscopy and Atomic Nuclei Structure October 11–14, 2016, Sarov, Russia/Nuclei
- URL: https://journals.rcsi.science/1063-7788/article/view/192551
- DOI: https://doi.org/10.1134/S1063778817050131
- ID: 192551
Cite item
Abstract
The T-invariance condition was analyzed for the amplitude Tb,a of multiparticle multistep elastic or inelastic a → b nuclear reactions. This condition leads to the equality of the amplitude Tb,a to the amplitude \({\tilde T_{\bar a,\bar b}}\) of \(\bar b \to \bar a\) time-reversed reaction, for which the reaction operator \(\tilde T\) coincides with the inverse-reaction (b → a) operator. It is shown that, in the case where the original, inverse, and time-reversed reactions are governed by a common T-invariant mechanism, the coefficients D of asymmetries appearing in the differential cross sections for these reactions can be represented in the form of a unified scalar (pseudoscalar) function of arguments equal to the momentum and spin vectors of particles of the initial and final channels of the reactions under analysis. It is also shown that the use of the T-invariance condition for the coefficients D of asymmetries in the differential cross section for the original nuclear reaction that are different in P- and T-parity makes it possible to separate mechanisms leading to nonzero coefficients D for a number of the asymmetries under analysis from the remaining mechanisms leading to zero coefficients D of these asymmetries. It is proven that there exist such asymmetries in the differential cross section for the original reaction whose coefficients vanish for all possible T-invariant mechanisms of their appearance, so that, upon proving experimentally the appearance of nonzero coefficients of these asymmetries in the differential cross section for the original reaction, this fact can be used to assess features of T-noninvariant interactions in nuclear systems.
About the authors
S. G. Kadmensky
Voronezh State University
Author for correspondence.
Email: kadmensky@phys.vsu.ru
Russian Federation, Universitetskaya pl. 1, Voronezh, 394036
P. V. Kostryukov
Voronezh State University
Email: kadmensky@phys.vsu.ru
Russian Federation, Universitetskaya pl. 1, Voronezh, 394036
Supplementary files
