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The algebraic structure of chiral charges and the mixing operator; a prediction forf K/f π

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Lettere al Nuovo Cimento (1971-1985)

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References

  1. F. Buccella, C. A. Savoy andE. Celeghini:Nuovo Cimento,7 A, 281 (1972).

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  2. F. Buccella, F. Nicolò andC. A. Savoy:Lett. Nuovo Cimento,6, 173 (1973).

    Article  MATH  Google Scholar 

  3. M. Gell-Mann: inHadrons and Their Interactions, edited byA. Zichichi (New York, 1968);F. Buccella, H. Kleinert, C. A. Savoy, E. Celeghini andE. Sorace:Nuovo Cimento,69 A, 133 (1970);H. J. Melosh IV:On the relation between the SU 6,W of currents and the SU 6,W of the strong interactions (preliminary version).

  4. F. J. Gilman andM. Kugler:Chiral SU 2 ⊗SU 2 mixing and the quark model of hadrons, SLAC preprint.

  5. A similar result has been independently obtained byC. A. Savoy: private communication ofF. Buccella.

  6. In the formalism of the Melosh work, we are in the «W-representation».

  7. H. J. Lipkin andS. Meshkov:Phys. Rev. Lett.,14, 670 (1965).

    Article  MathSciNet  ADS  Google Scholar 

  8. These commutation rules follow to satisfy the Weinberg equation [Q +5 , [Q +5 ,M 2]]=0 for mesons to second order inZ.

  9. The 10 generators of the algebra ofO 5:A αβ=−A βα (α,β=1,…5) satisfy the commutation rules\(^{\alpha \beta } ,A^{\gamma \delta } ] = i(\delta ^{\alpha \delta } A^{\beta \gamma } + \delta ^{\beta \gamma } A^{\alpha \delta } - \delta ^{\alpha \gamma } A^{\beta \delta } - \delta ^{\beta \delta } A^{\alpha \gamma } )\). We have therefore.

  10. The ratio\(g_{B\omega }^2 /g_{A_2 \rho }^2 |_{h = 1} - 2\) cannot be obtained without all the hypothesesa),b),c) andd).

  11. F. Buccella, F. Nicolò, A. Pugliese andE. Sorace:Nuovo Cimento,9 A, 120 (1972).

    Article  ADS  Google Scholar 

  12. A similar expression can be given for the axial and vector charges for the baryon case, but this would imply the existence of representations (56) and (70) with anyL. F. Buccella, F. Nicolò andA. Pugliese:Nuovo Cimento,12 A, 640 (1972). There is now an experimental evidence for the existence of a (70)L=2 baryon multiplet.D. Faiman, J. L. Rosner andJ. Weyers: CERN preprint th. 1622.

    Article  ADS  Google Scholar 

  13. C. Callan:Review of Kl,3 theory, inTopical Conference on Weak Interactions, CERN, Geneve, 14–17 January 1969.

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  1. F. Nicoló

    Present address: Istituto di Fisica dell’Università, L'Aquila

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  1. Istituto di Fisica dell’Università, Roma

    F. Nicoló

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  1. F. Nicoló
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Nicoló, F. The algebraic structure of chiral charges and the mixing operator; a prediction forf K/f π . Lett. Nuovo Cimento 7, 789–792 (1973). https://doi.org/10.1007/BF02725387

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