| More

A Study of $\tau^-$ and $\mu^-$ in the Field of Nuclei Using Neural Network Techniques

Views: 59 Downloads: 27
N. Panagiotides, T. S. Kosmas
N. Panagiotides, T. S. Kosmas

Abstract


The rate of a heavy lepton (muon or tau) capture by nuclei as well as the heavy lepton to electron conversion rate can be calculated when the heavy lepton wavefunction is known. Analytical calculation of the wavefunction of any of these leptons around any nucleus is not feasible owning to their small Bohr radii, on the one hand, and to the finite nuclear extend on the other. A new numerical calculation algorithm is proposed hereby, which makes use of the concept of neural networks. The main advantage of this new technique is that the wave function is produced analytically as a sum of sigmoid functions.


Full Text:

PDF

References


P. Wintz, in Proceedings of the First International Symposium on Lepton and Baryon Number Violation, edited by H. V. Klapdor-Kleingrothaus and I. V. Krivosheina (Institude of Physics, Bristol, 1998), p. 534.

I. E. Lagaris, A. Likas and D. I. Fotiadis. IEEE Transactions on Neural Networks, Vol. 9, No. 5, September 1998.

D. G. Papageorgiou, I. N. Demetropoulos and I. E. Lagaris. Comput. Phys. Commun., vol. 109, pp 250-275, 1998.

D. Kincaid and W. Cheney, Numerical Analysis (Brooks/Cole Publishing Company, 1991).

R. Kitano, M. Koike and Y. Okada. Phys. Rev. D 66 (2002)(1-14)




DOI: http://dx.doi.org/10.12681/hnps.3352

Refbacks

  • There are currently no refbacks.




Copyright (c) 2021 N. Panagiotides, T. S. Kosmas

Creative Commons License
This work is licensed under a Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.