R

The spectrum described by Eq. 4.6.67 may be presented in the power form n(RR~y with the variable exponent y=- dlnniR) = -R )R _ 1. (4.6.68)

d ln R 2u TiRiR1

It can be seen from Eq. 4.6.67 that the described spectrum exhibits a peak maximum (when y = 0) at

16 c4

(2) The case R >> R1, Ri >> R1. In this case we obtain from Eq. 4.6.62:

whence it follows for the accelerated particle spectrum in the source taking account of Eq. 4.2.7 and Eq. 4.6.4 at 3= 0 (in this case T = Ti) that n(R)<* R~Y, where

2u T

(3) The case R >> R1, Ri << R1. In this case, the particles are accelerated from non-relativistic up to ultra-relativistic energies. Here we obtain from Eq. 4.6.62:

In the case examined it follows from Eq. 4.6.4 at 3= 0 that

whence we obtain for the accelerated particle spectrum in the source taking account of Eq. 4.2.7 that n(R)~ R~Y, where

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