Il Nuovo Cimento (1955-1965)

, Volume 37, Issue 1, pp 137–141 | Cite as

Cabibbo’s theory and neutrino-induced reactions

  • A. Sirlin


The differential cross-sections for the reactions Open image in new window are discussed in the framework of Cabibbo’s theory, under the assumption that the ΔS=0 axial vector current is of the first class underG conjugation. It is pointed out that detailed studies of the differential cross-sections would permit, in principle, a test of the theory over a wide range of momentum transfers. Estimates for the probabilities of these reactions are given.


Si discutono, entro lo schema della teoria di Cabibbo, le sezioni d’urto differenziali delle reazioni Open image in new window , nell’ipotesi che la corrente vettoriale assiale ΔS=0 sia della prima classe rispetto alla coniugazioneG. Si mette in rilievo che studi dettagliati della sezione d’urto differenziale permetterebbero, in linea di principio, una verifica della teoria in un grande intervallo di momenti trasferiti. Si dànno le stime delle probabilità di queste reazioni.


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  1. (1).
    N. Cabibbo:Phys. Rev. Lett.,10, 531 (1963).ADSCrossRefGoogle Scholar
  2. (2).
    Several aspects of neutrino-induced reactions have been already discussed in the framework of Cabibbo’s theory byM. M. Block:Phys. Rev. Lett.,12, 262 (1964).ADSCrossRefGoogle Scholar
  3. (4).
    Identical relations have been derived in the literature: SeeN. Cabibbo andR. Gatto:Nuovo Cimento,21, 873 (1961). For the Wigner-Eckart theorem forSU 3 see, for example,J. J. de Swart:Rev. Mod. Phys.,35, 916 (1963).MathSciNetCrossRefGoogle Scholar
  4. (5).
    S. Weinberg:Phys. Rev.,112, 1375 (1958). Alternatively, one can postulateT-invariance and the ΔI=1 rule.ADSCrossRefMATHGoogle Scholar
  5. (6).
    L. Wolfenstein: (preprint).Google Scholar
  6. (7).
    S. L. Adler:Nuovo Cimento,30, 1020 (1963).CrossRefGoogle Scholar
  7. (8).
    In eq. (5) we have assumed the validity ofT-invariance for the leptonic processes so that all the structure functions may be taken to be real.T-invariance is actually implied if one assumes that i) the complete vector currents belong to the same octet as the electromagnetic current and are, therefore, conserved in the limit of exact unitary symmetry and ii) the basic « unrenormalized » current of the strongly interacting particles is of theV — A type.ADSCrossRefMATHGoogle Scholar
  8. (9).
    C. N. Yang:Proceedings of the International Conference on Fundamental Aspects of Weak Interactions, Brookhaven National Laboratory (1963), p. 249.Google Scholar
  9. (10).
    T. D. Lee andC. N. Yang:Phys. Rev.,126, 2239 (1962).MathSciNetADSCrossRefMATHGoogle Scholar
  10. (12).
    The estimates for dσ(0)/dq 2 andσ tot, based on eqs. (6), differ somewhat from the values indicated in Table Ib of ref. (2).ADSCrossRefGoogle Scholar
  11. (13).
    This reaction is allowed in theories in which the vector currents are assumed to be conserved under the symmetry groupG 2. See, for example,R. E. Behrends andA. Sirlin:Phys. Rev. Lett.,5, 476 (1960).ADSCrossRefMATHGoogle Scholar

Copyright information

© Società Italiana di Fisica 1965

Authors and Affiliations

  • A. Sirlin
    • 1
  1. 1.Department of PhysicsNew York UniversityNew York

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