X0-η mixing and some radiative meson decay processes

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  • IL NUOVO CIMENTO VoL. XXXVI I I , N. 4 16 Agosto 1965

    X~ Mixing and Some Radiative Meson Decay Processes.

    1~. i . D~LITZ aRd D. G. SUTIIERLANI)

    The Clarendon Laboratory - Oxford

    (Nuovo Cimento, 37, 1777 (1965))

    In the phenomeaologicM theory of X~ mixing, the sign of the mi~ing parameter tg a is not determined, thus eq. (5) should read tg ~ = 0.19. With the convention specified by eqs. (4), the quark model requires the positive sign for r ~.

    Owing to the use-of inconsistent sign conventions, many of the results given ia Sect. 3 nee4 correction. The amplitudes for X~247 and for ~]s-->Os+? are - - A/~/-3 and + M/%/3, respectively. For the ~-O mixing angle sin 0 = 1/~/3. Expression (12a) should read ((A/3) cos a+(M/3)s ins ) , so that the last factor on the right of eq. (13) should be replaced by unity. Hence the ratio r(XO_> oa+.f)/F(XO___> po is not a]fected by Xo--~ mixing and is predicted to have the value 0.084 if the electric current operator does not include an SU 3 singlet term.

    The Os-~7 amplitude has value --~/~-~, and the amplitudes for o)-~T:~ 7 and o -+X~247 are - - ~/~M and -- ~-2A/3, respectively. Hence, the last bracket of eqs. (20) and (21) should be replaced by (1 (A/2M) tg ~)2, and the last bracket of eq. (22) should read (1--(A/M) tga) ~.

    Weak-Strong Coupling Complementarity in Renormalized Perturbation Theory.

    W. ~. FRANK

    The Weizmann Institute o] Science - t~ehovoth

    (Nq~ovo Cimento, 38, 1077 (1965))

    The solvable model of this paper was also considered by E. R. CAIANIELLO and A. CAMPOLA~TARO: NUOVO Cimento, 20, 422 (1961) for spinox~ theories in the Lorentz metric.

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