From Eq. (4-187) we start with
&r 1 8,811|t=t, 3 [a, (p2)1 PIIIt=to
Qr [c -1] q 2 { + 3 [ to} (4-222)
2 3 4 Po
Then, following the same steps as taken for the case of Bt-term above, we obtain
B q2 F/2 (1 2f-1 2 )F3/2 3f-1 25/2
Br = + + (4-223)
S ( + /r2) 2(1 + J2/r2)3/2 2(1 + 2/r5/2
B6-term:.
Again, from Eq. (4-187) we take
Q 2 p 4 3. (4-224)
Then, similarly we can derive
B6-q 2 Fl/2 F3/2 3 F5/2 F3/2) (4-225)
S( + J2/ 2)1/2 (1 + J2/ 3/2
Bo-term:.
As Ao vanishes, so should Bo. By working out
Qo[C-1 q 2 21 o 3 [ 00 (2)] ii tt(4-226)
in the same manner as above, one finds that there is no term like ~ p 1: all terms
are either like ~ A2n/2 +1 or like ~ A2"-1 sin cos 4/p (n = 1,2), which
vanish in the limit A -+ 0 or through the "()" process. Thus
Be = 0. (4-227)
4.4.3 CQ-terms
We have mentioned before that CQ-terms, which originate from c term in
Eq. (4-159), alv--v- vanish. This can be proved by analyzing the structure of c