Summary
It is suggested that the elastic scattering of electrons from electrons be used to verify the Lorentz law of mass variation with velocity. The kinematics of such a process yield angular dependences which are sensitive to the model used. An independent measurement of the velocity of the incident particle is necessary to complete the measurement in a logical fashion. It is shown that two other experiments reported in the literature are deficient in this respect.
Riassunto
Si suggerisce di usare per la verifica della legge di Lorentz sulla variazione della massa con la velocità lo scattering elastico degli elettroni su elettroni. La cinematica di tale processo fornisce dipendenze angolari soggette all’influenza del modello usato. È necessario eseguire indipendentemente la misura della velocità della particella incidente per completare la misura in modo logico. Si dimostra che a tale riguardo altri due esperimenti riportati in letteratura sono deficienti.
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References
P. S. Faragó andJánossy:Nuovo Cimento,5, 1411 (1957).
M. Abraham:Ann. der Phys.,10, 105 (1902). We have translated this article into English and reprints are available upon request.
F. C. Champion:Proc. Roy. Soc., A136, 630 (1932).
F. C. Champion:Nuovo Cimento,7, 122 (1958).
In Abraham’s expression for the rigid sphere with uniform surface charge, we have identified the coefficiente/6πac 2 with the rest mass wheree is the charge anda is the radius of the electron. This identification gives proper classical limits for the kinetic energy and momentum but the rest energy becomes (3/4) mc2. However, in the collision equations these coefficients drop out.
M. B. Scott, A. O. Hanson andE. M. Lyman:Phys. Rev.,84, 638 (1951).
G. W. Ford andC. J. Mullin:Phys. Rev.,110, 520 (1958), and private communication.
Calculations on the Abraham model have been made for 0.7 <β 1 < 0.99 and all permissible laboratory angles. These results are available upon request.
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Work performed under the auspices of the U. S. Atomic Energy Commission.
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Raboy, S., Trail, C.C. On the relation between velocity and mass of the electron. Nuovo Cim 10, 797–803 (1958). https://doi.org/10.1007/BF02859536
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DOI: https://doi.org/10.1007/BF02859536