Lepton-Number and Chirality Nonconservation in Weak Processes

Lepton-Number and Chirality Nonconservation in Weak Processes

CONSISTENT SOLUTION TO THE K, s PROBLE M particular, for his suggestion to investigate the at Harvard. Finally, I am extremely grateful to effects of varying N. My gratitude is also ex- the Commonwealth Fund of New York for the award pressed to Professor R. V. Pound for hospitality of a Harkness Fellowship. *Harkness Fellow. 16, 153 (1966); M. Suzuki, ibid. 16, 312 (1966); V. S. ~For a review of the theoretical and experimental sit- Mathur, S. Okubo, and L. K. Pandit, ibid. 16, 371 (1966). uation, see M. K. Gaillard. and L. M. Chounet, CERN N. Brene, M. Roos, and A. Sirlin, Nucl. Phys, B6, Report No. CERN-TH-70-14 (unpublished); Phys. Letters 225 (1968). 32B, 505 (1970). ~3See, for example, S. L. Adler and R. F. Dashen, R. Olshansky and K. Kang, Phys. Rev. D 3, 2094 Current Algebras and Applications to Particle Physics (1971). (Benjamin, New York, 1968); B. Renner, Current Alge- 3F. C. P. Chan, Phys. Rev. D 4, 189 (1971). bras and Thei~ Applications (Pergamon, London, 1968). R. Arnowitt, M. A. Friedman, and P. Nath, Phys. Rev. 4S. L. Glashow and S. Weinberg, Phys. Rev. Letters Letters 26, 104 (1971);K. Schilcher, Phys. Rev. D 4, 20, 224 (1968). 257 (1971). ~5M. Gell-Mann, R. J. Oakes, and B. Renner, Phys. 5L. F. Li and H. Pagels, Phys. Rev. D 3, 2191 (1971). Rev. 175, 2195 (1968). 6S. Okubo, Phys. Rev. D 3, 2807 (1971);S. Okubo and 6See, for example, I. S. Gerstein, H. J. Schnitzer, and I-Fu Shih, ibid. 4, 2020 (1971). S. Weinberg, Phys. Rev. 175, 1873 (1968);I. S. Gerstein 7V. S. Mathur and T. C. Yang, Phys. Rev. D 5, 246 and H. J. Schnitzer, Phys. Rev. 175, 1876 (1968). (1972). These results were first obtained, respectively, by ~ M. Ademollo and R. Gatto, Phys. Rev. Letters 13, 264 Glashow and Weinberg, and Gerstein and Schnitzer. (1965}. The author is grateful to Professor S. L. Glashow for 9Particle Data Group, Rev. Mod. Phys. 43, S1 (1971). making this suggestion, and for pointing out the connec- C.-Y. Chien et al. , Phys. Letters 33B, 627 (1970). tion between N and A, +. ~~C. G. Callan and S. B. Treiman, Phys. Rev. Letters PHYSICAL REVIEW D VOLUME 6, NUM BER 7 1 OC TOBER 1972 Errata m' Single Electroproduction at m= 2 GeV and the (1): g& (x) should be replaced by g&+(x). Page 1792, Pion Form Factor, R. C. E. Devenish and D. H. item (5): The first sentence should read: The pair Lyth [Phys. Rev. D 5, 47 (1972)]. The B, ampli- of successive processes, tudes in Eels. (A7) of Appendix A are incorrectly v„-e + (a + p), m', ...—v, numbered. Only the six B, amplitudes chosen to be independent should appear, namely B„B„B3, [Eqs. (28) and (8)], The ob- B„B„andB,. correct equations are where the intermediate lepton-hadron states are tained by making the following replacement: B, virtual, provides a mechanism for Pontecorvo's for B~, B~ for B„and B8 f B6. "neutrino oscillations. "" [Transitions of the type v& —v&, v, are forbidden in vacuo by angular Lepton-Number and Chirality Nonconservation momentum conservation because v„has average in Weak Processes, H. Primakoff and S. P. Rosen helicity (-h) and v„, v, have average helicity [Phys. Rev. D 5, 1784 (1972)]. Page 1792, item (+h) where h= (1 —(q)')/(1+ (7i(').].

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