Abstract
Several experimental groups reported the evidence of periodic modulations of nuclear decay constants which amplitudes are of the order \({{10}^{{ - 3}}}\) and periods of one year, 24 h or about one month. We argue that such deviations from radioactive decay law can be described in nonlinear quantum mechanics framework, in which decay process obeys to nonlinear Shrödinger equation with Doebner–Goldin terms. Possible corrections to Hamiltonian of quantum system interaction with gravitation field considered, it’s shown that they correspond to some emergent gravity theories, in particular, bilocal field model. It’s shown that proposed model describes decay parameter variations which agree with experimental results for Po-214 \(\alpha \)-decay life-time oscillations.
This is a preview of subscription content, log in via an institution to check access.
Similar content being viewed by others
REFERENCES
B. R. Martin, Nuclear and Particle Physics: An Introduction (Wiley, New York, 2011).
D. Alburger et al., “Earth plan,” Sci. Lett. 78, 168–176 (1986).
E. Fischbach et al., Rev. Space Sci. 145, 285–335 (2009).
K. Ellis, Phys. Med. Biol. 35, 1079–1088 (1990).
E. N. Alekseev et al., Phys. Part. Nucl. 47, 986–1002 (2016).
V. Lobashev et al., Phys. Lett. B 460, 227–235 (1999).
K. Kossert and O. Nähle, Astroparticle Phys. 55, 33–41 (2014).
L. D. Landau and E. M. Lifshitz, Quantum Mechanics (Pergamon Press, Oxford, 1976).
L. Fonda, G. C. Ghirardi, and A. Rimini, Rep. Prog. Phys. 41, 587–632 (1978).
G. Gamow, Z. Phys. 51, 204–218 (1928).
R. R. Newton, Ann. Phys. 14, 333–358 (1961).
I. Bialynicki-Birula and J. Mucielski, Ann. Phys. (N.Y.) 100, 62–93 (1976).
S. Weinberg, Ann. Phys. (N.Y.) 194, 333–358 (1989).
H.-D. Doebner and G. Goldin, Phys. Lett. A 162, 397– 401 (1992).
H.-D. Doebner and G. Goldin, Phys. Rev. A 54, 3764–3771 (1996).
P. Diaz, S. Das, and M. Walton, Int. J. Mod. Phys. D 27, 1850090–1850099 (2018).
A. Jevicki et al., J. High Energy Phys., No. 7, 19 (2016).
J. M. Jauch, Foundations of Quantum Mechanics (Addison-Wesly, Reading, 1968).
T. Jordan, Phys. Rev. A 73, 022101–022109 (2006).
T. W. Kibble, Commun. Math. Phys. 64, 73–82 (1978).
T. W. Kibble and S. Randjbar-Daemi, J. Phys. A 13, 141–148 (1980).
H.-T. Elze, J. Phys. Conf. Ser. 67, 012016–012025 (2007).
P. R. Weissman and T. V. Johnson, Encyclopedia of the Solar System (Academic Press, New York, 2007).
N. Gisin, Phys. Lett. A 143, 1–7 (1990).
G. Svetlichny, Found. Phys. 28, 131–145 (1998).
M. Czachor and H.-D. Doebner, Phys. Lett. A 301, 139–146 (2002).
M. van Raamsdonk, Gen. Rel. Grav. 42, 2323–2329 (2010).
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
About this article
Cite this article
Mayburov, S.N. Nuclear Decay Oscillations and Nonlinear Quantum Dynamics. Phys. Part. Nuclei 51, 458–463 (2020). https://doi.org/10.1134/S1063779620040504
Received:
Revised:
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.1134/S1063779620040504