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Burst Production by Mesotrons

Christy, R. F. and Kusaka, S. (1941) Burst Production by Mesotrons. Physical Review, 59 (5). pp. 414-421. ISSN 0031-899X. http://resolver.caltech.edu/CaltechAUTHORS:CHRpr41a

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Abstract

Assuming that, under great absorbing thicknesses, cosmic-ray bursts are cascade showers from high energy soft secondaries produced in the shielding matter by mesotron-electron collisions and by mesotron bremsstrahlung, we have calculated the frequency of burst production as a function of burst size. For the mesotron of spin 1 and moment eℏ/2μc, we have used the previously calculated knock-on formulae, supplemented by our own calculations of the bremsstrahlung; for the latter, the cross section has terms, significant for our work, in E, ln2 E, and ln E. Up to energies close to 10^11 ev, only slight modifications are introduced by omitting altogether those processes which cannot be treated by the Born approximation, and the minimum cross sections we used differ little from those given directly by the Born approximation. Using these cross sections, the cascade theory of showers, and a modified form of the Furry model to take into account the fluctuations, the frequency of burst production was calculated. The sea-level data of Schein and Gill give for the number of bursts of size greater than S, NS∼S^-γ, with γ=1.8. Our calculations give for spin 1, γ∼1.5 and numerically too many by a factor of 20. Similar calculations for the mesotron of spin 0 give γ∼1.8 and the same in number as the observations within an uncertainty of about a factor 1.5. For spin ½ and moment eℏ/2μc, the bursts are approximately twice as numerous as for spin 0. This evidence thus favors spin 0, or possibly spin ½, but tends to exclude spin 1.


Item Type:Article
Additional Information:©1941 The American Physical Society Received 31 December 1940 In conclusion we wish to express our appreciation of the invaluable assistance of Professor J.R. Oppenheimer, with whom all parts of this work have been discussed.
Record Number:CaltechAUTHORS:CHRpr41a
Persistent URL:http://resolver.caltech.edu/CaltechAUTHORS:CHRpr41a
Alternative URL:http://dx.doi.org/10.1103/PhysRev.59.414
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:6562
Collection:CaltechAUTHORS
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Deposited On:13 Dec 2006
Last Modified:26 Dec 2012 09:22

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