Neutral-current cross sections for double-pion production by neutrinos

S. N. Biswas; S. R. Choudhury; A. K. Goyal; J. N. Passi

doi:10.1103/PhysRevD.18.3187

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Neutral-current cross sections for double-pion production by neutrinos

S. N. Biswas, S. R. Choudhury, A. K. Goyal, and J. N. Passi

Department of Physics, University of Delhi, Delhi-110007, India

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Phys. Rev. D 18, 3187 – Published 1 November, 1978

DOI: https://doi.org/10.1103/PhysRevD.18.3187

Abstract

We have derived expressions for the differential cross sections for two-pion production by the neutral current in a neutrino-induced hadron reaction. We assume a general $V$ , $A$ form of the neutral current with arbitrary admixture of isotopic scalar and vector parts and utilize the algebra of currents and the PCAC (partial conservation of the axial-vector current) hypothesis to obtain the amplitude for $ν + N \to ν + N + π + π$ . Two different cases have been studied: (i) Both the outgoing pions are at threshold. (ii) They are produced via the formation of $N^{*}$ . The results are useful to examine the structure of the neutral current.

References (15)

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[c1] S. Weinberg, Phys. Rev. Lett. 19, 1264 (1967) A. Salam, in Elementary Particle Theory: Relativistic Groups and Analycity (Nobel Symposium No. 8) edited by N. Savartholm (Almqvist and Wiksell, Stockholm, 1969), p. 367

[c2] P. Q. Hung and J. J. Sakurai, Phys. Lett. 63B, 295 (1976)

[c3] J. Blietschau et al., Nucl. Phys. B118, 218 (1977)

[c4] F. S. Merritt et al., Caltech Report No. CALT-68-601 (unpublished)

[c5] L. Wolfenstein and D. Wyler, Phys. Rev. D 15, 670 (1977) C. H. Berrand- Corremans et al., Phys. Lett. 61B, 207 (1976)

[c6] H. S. Gurr et al., Phys. Rev. Lett. 33, 179 (1974)

[c7] S. L. Adler et al., Phys. Rev. D 11, 3309 (1975) S. L. Adler ibid. 12, 2644 (1975)

[c8] Ref. 89 in J. D. Bjorken, SLAC Report No. SLAC-PUB 1866 (unpublished)

[c9] B. Coremans et al., Phys. Lett. B61, 207 (1976)

[c10] Ref. 91 in J. D. Bjorken, SLAC Report No. SLAC-PUB 1866 (unpublished)

[c11] Refs. 92 and 66 in J. D. Bjorken, SLAC Report No. SLAC-PUB 1866 (unpublished)

[c12] A. Ali, Phys. Lett. B62, 177 (1976)

[c13] S. L. Adler and R. F. Dashen, Current Algebras (Benjamin, New York, 1968)

[c14] S. L. Adler and W. I. Weisberger, Phys. Rev. 169, 1392 (1968)

[c15] S. L. Adler, Ann. Phys. (N.Y.) 50, 189 (1968)

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Neutral-current cross sections for double-pion production by neutrinos

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