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The nonleptonic ΔI=1/2 rule in the chiral current-mixing gauge theories

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Lettere al Nuovo Cimento (1971-1985)

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References

  1. B. W. Lee andS. B. Treiman: NAL-THY-90, September 1972.

  2. J. D. Bjorken: unpublished;J. D. Bjorken andC. H. Llewellyn Smith: SLAC-PUB-1107, September 1972.

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  7. J. Prentki andB. Zumino: to be published inNucl. Phys.

  8. I thank Dr.C. H. Poon for a discussion on this point.

  9. L. P. Yu: UCSD-10P10-114, October 1972.

  10. L. P. Yu: UCSD-10P10-117, November 1972.

  11. Thus the relations\(S\left( {\Lambda _ - ^0 } \right) + \sqrt 2 S\left( {\Lambda _0^0 } \right) = 0, S\left( {\Xi _ - ^ - } \right) + \sqrt 2 S\left( {\Xi _0^0 } \right) = 0 and S\left( {\Xi _ - ^ - } \right) + \sqrt 2 S\left( {\Xi _0^ + } \right) + S\left( {\Xi _ + ^ + } \right) = 0\) which depend only on theSU1/2 symmetry will be true in the present realization of the ΔI=1/2 rule; however, the relation\(2S\left( {\Xi _ - ^ - } \right) + SC = \sqrt 3 S\left( {\Sigma _0^ + } \right) + \sqrt {\frac{3}{2}} S\left( {\Sigma _ + ^ + } \right)\) depending on theSU 3 symmetry will be violated. And it is interesting to observe that this violation is proportional to [Q i,J 8]=if iukJk, thus it is proportional to the strange-nonstrange mass splittings, which is a sort of «fifth-interaction» effect.

  12. This assumption is quite arbitrary. What is essential here is that one can adjust the parametersg B,m B (or β) to let the scalar exchange dominate over the vector exchange.

  13. B. W. Lee, J. R. Primack andS. B. Treiman: NAL-THY-74, August 1972.

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  1. Department of Physics, University of California- San Diego, La Jolla, Cal.

    Loh-Ping Yu

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  1. Loh-Ping Yu
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Work supported in part by the U.S. Atomic Energy Commission.

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Yu, LP. The nonleptonic ΔI=1/2 rule in the chiral current-mixing gauge theories. Lett. Nuovo Cimento 7, 779–783 (1973). https://doi.org/10.1007/BF02728146

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