Change of neutron energy at reflection from and transmission trough a matter layer
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Author(s)
Abstract
The experimentally found small heating of the neutrons after transmission through thin foils can be explained by violation of energy conservation because of finite energy width of the neutron wave packet. The part of the wave packet subcritically transmitted through a foil has energy distribution higher than that of the incident one, and the part totally reflected has energy a little bit lower than the incident one. It is proven here with de Broglie’s wave packet function. Increase and decrease of energy is analytically calculated. In average the energy is conserved.
Keywords
de Broglie’s wave packet, coherence length, small heating, law of energy conservation violation
Cite this paper
V.K.Ignatovich, M.Utsuro,
Change of neutron energy at reflection from and transmission trough a matter layer
, SCIREA Journal of Physics.
Volume 1, Issue 1, October 2016 | PP. 41-51.
References
[ 1 ] | D. Bohm AND Y. Aharonov. “Discussion of Experimental Proof for the Paradox of Einstein, Rosen, and Podolsky.” Phys.Rev. 108 (4) 1070-76 (1957). |
[ 2 ] | V.Ignatovich, “Comment on “Can Quantum-Mechanical Description of Physical Reality be Considered Complete?”” American Journal of Modern Physics and Applications 1(1) 1-6 (2014). |
[ 3 ] | A.Steyerl, S.S.Malik, “Possible implication of exponential decay”, Annals of Physics 217 222-278 (1992) |
[ 4 ] | Ignatovich V.K. “On a possibility of continious transition from wave optics to geometrical one.” JINR communication E4-8039 (1974). |
[ 5 ] | Ignatovich V.K., Utsuro M. “Tentative solution of UCN problem” Phys.Lett. A. 225 195–202 (1997) |
[ 6 ] | Utsuro M., Ignatovich V.K. “Experimental test of the de Broglie wavepacket description of the neutron” Phys. Lett. A. 246 7–15 (1998) |
[ 7 ] | M.Utsuro, “Analytical solution for the de Broglie wave packet description of the neutron in subcritical transmission through a mirror.”Physics Letters A 292 222-232 (2002) |
[ 8 ] | V. K. Ignatovich and Masahiko Utsuro, “Quantum mechanics of the de Broglie wave packet and a review of inelastic losses of UCN in bottle,” Nucl. Instr. & Meth. A 440 709-716 (2000) |
[ 9 ] | M.Utsuro, “Neutron spin interference visibility in tunneling transmission through magnetic resonators,” Physica B 358 232-246 (2005) |
[ 10 ] | V. E. Varlamov, V. V. Nesvizhevski , A. P. Serebrov, et al. “Observation of the penetration of subbarrier ultracold neutrons through beryllium foils and coatings.” JETP Lett., Vol. 66, No. 5, 336-343 (1997). |
[ 11 ] | V. V. Nesvizhevski, A. V. Strelkov, P. Gel’tenbort, et al., Observation of a new mechanism of ultracold-neutron losses in traps Yad. Fiz. 62, 832 (1999) [Phys. At. Nucl. 62, 776 (1999)]; Preprint No. R-98-79, JINR (JINR, Dubna, 1998). |
[ 12 ] | P. Geltenbort, V. V. Nesvizhevsky, D. G. Kartashov, et al., “A new escape channel for ultracold neutrons in traps” JETP Lett. 70, 170 (1999). |
[ 13 ] | A.V. Strelkov, V.V. Nesvizhevsky, P. Geltenbort et al. “Identification of a new escape channel for UCN from traps” Nuclear Instruments and Methods in Physics Research A 440 (2000) 695-703. |
[ 14 ] | V.V. Nesvizhevsky, E.V. Lychagin, A.Yu. Muzychka et al, “About interpretation of experiments on small increase in energy of UCN in traps” Physics Letters B 479, 353–357 (2000). |
[ 15 ] | E. V. Lychagin, A. Yu. Muzychka, V. V. Nesvizhevsky et al, “Experimental Estimation of the Possible Subbarrier Penetration of Ultracold Neutrons through Vacuum-Tight Foils” JETP Letters, Vol. 71, No. 11, 2000, pp. 447–450. |
[ 16 ] | E. V. Lychagin, D. G. Kartashov, A. Yu. Muzychka et al, “Mechanism of Small Variations in Energy of Ultracold Neutrons Interacting with a Surface” Physics of Atomic Nuclei, Vol. 65, No. 11, 2002, pp. 1995–1998. |
[ 17 ] | D. G. Kartashov, E. V. Lychagin, A. Yu. Muzychka et al, “An investigation into the origin of small energy changes (~ 10-7ev) of ultracold neutrons in traps” International Journal of Nanoscience Vol. 6, No. 6 (2007) 501–513. |
[ 18 ] | L. N. Bondarenko. Geltenbort, E. Korobkina, Yu. N. Panin, Cooling and heating of ultracold neutrons during storage. Physics of Atomic Nuclei 65(1):11-17 (2002) |
[ 19 ] | M.Utsuro, V.K.Ignatovich “Handbook of neutron optics”. WILEY-VCH Verlag GmbH & Co. KGaA, Weiheim, 2010. |