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Nuclear Reactions II: Theory / Kernreaktionen II: Theorie (Paperback, Softcover reprint of the original 1st ed. 1959)
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Nuclear Reactions II: Theory / Kernreaktionen II: Theorie (Paperback, Softcover reprint of the original 1st ed. 1959)
Series: Kernphysik / Nuclear Physics, 8 / 41 / 1
Expected to ship within 10 - 15 working days
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449 one finds that for y = Fo (e) C= :n; V3 [Po (2'Yj) 3 -kjF(i) +
(2'Yj)! Fd (2'Yj) 3 -ijF (*m, } 1 ( 14.17) C2 = :n; [ - (2'Yj)! Fd
(2'Yj) 3 -ijF(i) + Fo (2'Yj) 3 -~;r(i)J, and if y is to be Go(e), C
and Chave the same form with Go (2'Yj) replacing Po (2'Yj) 1 2 and
G~(2'Yj) replacing Fd(2'Yj). The values of the functions at eo
=2'Yj may be ob- tained from (14.8). 1 J. K. TYSON has employed the
modified Hankel functions of order one- third 2 as solutions of
(13.4) to obtain expressions for the Coulomb functions for L =0
which converge near e =2'Yj. His results appear as linear
combinations of the real and imaginary parts of n ~(x) = (12)!e-;/6
[A;{- x) - iB;(-x)J, (14.18) and its derivatives multiplying power
series in x = (e - 2'Yj)j(2'Yj)1. For values 1 away from the
turning point for L =0, TYSON has obtained forms for Po{e) and
Go(e) which are similar to (13.1) to (13.3). The JWKB approximation
is again the leading term, and some higher order corrections are
given. Expressions similar to Eqs. (14.11) and (14.12) have been
obtained by T.D. 3 NEWTON employing the integral representation of
(4.4). His results give re- presentations of FL(e), Gde) in the
vicinity of e=2'Yj [whereas (14.11), (14.12) converge near e=eLJ
when L
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