Nuclear Reactions Ii: Theory / Kernreaktionen Ii: Theorie (handbuch Der Physik Encyclopedia Of Physics) (volume 41)

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. Front Matter....Pages II-VII Theory of Resonance Reactions and Allied Topics....Pages 1-407 Coulomb Wave Functions....Pages 408-465 Polarization of Nucleons Scattered by Nuclei....Pages 466-495 Coulomb Excitation....Pages 496-560 Back Matter....Pages 561-580