1586CONNORS, MILLER, AND WALDMAN energy are emitted within the same solid angle and are counted with equal efficiency. However, the method is applicable only to a source which has a simple decay scheme in which the beta spectrum has an allowed shape.The values which we obtained are aj£=0.025zfc:0.005 and (XL=0.012±0.002 in agreement with the results of other investigators. 1 Elastic and inelastic cross sections for electron-deuteron scattering with large momentum transfer have been investigated. The calculation has been performed in the first Born approximation. The neutronproton interaction has been described by a phenomenological potential, and the nucleons have been represented by point charges and point magnetic moments. Finite size of nucleons causes major correction to these results.
ELECTRON-DEUTERON
SCATTERINGCROSS SECTIONS 1587
The correction to the Bethe-Bloch formula for the stopping power of fast heavy particles, due to virtual photons and the emission of real photons, has been computed using the Born approximation for the extreme relativistic case. The fractional correction increases with increasing energy of the incident particle. It is approximately 1 percent when the kinetic energy of the particle is 100 times its rest energy. R ECENTLY Jauch 1 has given an estimate for the correction, due to radiation, to the energy loss of heavy particles passing through matter. This estimate was based upon Schwinger's 2 correction to the elastic cross section due to the emission and re-absorption of virtual photons and the emission of soft real photons.The purpose of this paper is to present a more complete calculation of the radiative correction which includes also the emission of real photons without restriction as to their energy. The results show that this is a positive correction which increases as the incident energy increases, in the relativistic region, and is quite small even at very high energy. Because of this, the more complicated low energy region is not treated here, and the calculation assumes from the start that we have heavy particles bombarding matter with a velocity v=fic very close to that of light.We shall find the collision loss per unit path length by taking the energy loss per collision, multiplying it by the probability of such a collision, and integrating over all possible collisions. The probability per unit path length of a collision is n %he angle between planes in which 6 0 and 0 lie. Then we can write the energy loss, A*-I[. k(E-pcosB)+-M 2 (-?)} (2)We can shorten our integration by splitting the energy loss into two parts: y y
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