Two-Body Weak Reactions of Hadrons at Very High Energies

Mark Dubovoy; Paul Langacker; Mahiko Suzuki

doi:10.1103/PhysRevD.4.1474

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Two-Body Weak Reactions of Hadrons at Very High Energies

Mark Dubovoy, Paul Langacker^*, and Mahiko Suzuki

Department of Physics and Lawrence Radiation Laboratory, University of California, Berkeley, California 94720

^*National Science Foundation Predoctoral Fellow.

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Phys. Rev. D 4, 1474 – Published 1 September, 1971

DOI: https://doi.org/10.1103/PhysRevD.4.1474

Abstract

Two-body hadronic scattering through weak interactions is investigated theoretically in the energy region accessible at the National Accelerator Laboratory. In the ordinary current ×current form of weak interactions, the following quantities are calculated for charge-exchange weak hadronic reactions: (i) the differential cross section, the polarization of a final baryon, and the asymmetry in the angular distribution of scattering from a polarized target for strangeness-changing processes, and (ii) the interference of weak-interaction amplitudes with strong-interaction amplitudes for processes to which both weak and strong interactions contribute. The interference with strong amplitudes is discussed by means of a straight ex-trapolation of existing Regge analysis at lower energies (less than 30 GeV). Differential cross sections near the forward direction are typically of the order of $10^{- 38}$ ${cm}^{2}$ in $\frac{d σ}{d cos θ}$ in the center-of-mass frame. The interference between weak and strong amplitudes is unfortunately only one part in $10^{4}$ - $10^{5}$ for the $π N$ charge-exchange scattering in spite of the different high-energy behavior. All calculations are supposed to be valid at high energies up to absorption corrections due to a Regge cut generated by the Pomeranchukon and a fixed pole at $J = 1$ from the weak amplitude. Inelastic scattering is also briefly mentioned. Charge-nonexchange processes are discussed in connection with a test for the existence of neutral weak currents.

References (22)

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[c1] N. Cabibbo, Phys. Rev. Letters 10, 531 (1963)

[c2] B. L. Ioffe and E. P. Shabalin, Yadern. Fiz. 6, 828 (1967) [Soviet J. Nucl. Phys. 6, 328 (1967)]

[c3] R. N. Mohapatra, J. Subba Rao, and R. E. Marshak, Phys. Rev. 171, 1502 (1968)

[c4] M. Gell-Mann, M. L. Goldberger, N. Kroll, and F. E. Low, Phys. Rev. 179, 1518 (1969)

[c5] A. Pais, in Proceedings of the International Conference on Expectations for Particle Reactions at the New Accelerators (Physics Department, University of Wisconsin, Madison, Wis., 1970)

[c6] Omitted endnote

[c7] V. M. De Laney, D. J. Gross, I. J. Muzinich, and V. L. Teplitz, Phys. Rev. Letters 18, 149 (1967)

[c8] M. M. Block et al., Phys. Letters 12, 281 (1964)

[c9] G. Bernardini et al., Phys. Letters 13, 86 (1964)

[c10] R. Burns et al., Phys. Rev. Letters 15, 42 (1965)

[c11] N. Brene, L. Veje, M. Roos, and C. Cronström, Phys. Rev. 149, 1288 (1966)

[c12] B. Sakita and K. C. Wali, Phys. Rev. 139, B1355 (1965)

[c13] P. S. J. McNamee and F. Chilton, Rev. Mod. Phys. 36, 1005 (1964)

[c14] Omitted endnote

[c15] Omitted endnote

[c16] Y. Nambu and M. Yoshimura, Phys. Rev. Letters 24, 25 (1970) Brene et al. in [14]

[c17] Omitted endnote

[c18] Omitted endnote

[c19] V. Singh, Phys. Rev. 129, 1889 (1963)

[c20] W. Rarita et al., Phys. Rev. 165, 1615 (1968)

[c21] Omitted endnote

[c22] Omitted endnote

Physical Review D

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Two-Body Weak Reactions of Hadrons at Very High Energies

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References (22)

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