Forward hard scattering in hadron-hadron collisions in the energy region ∼ <span class="aps-inline-formula"><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><mrow><msup><mrow><mn>10</mn></mrow><mrow><mn>14</mn></mrow></msup></mrow></math></span> eV

Toru Shibata

doi:10.1103/PhysRevD.22.100

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Forward hard scattering in hadron-hadron collisions in the energy region ∼ $10^{14}$ eV

Toru Shibata

Department of Physics, Aoyama Gakuin University, 6-16-1, Chitosedai, Setagaya-ku, Tokyo 157, Japan

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Phys. Rev. D 22, 100 – Published 1 July, 1980

DOI: https://doi.org/10.1103/PhysRevD.22.100

Abstract

On the basis of the quark-parton picture, we derive analytically the cross sections for production of hadrons and $γ$ rays through forward hard scattering in hadron-hadron collisions in the energy region ∼ $10^{14}$ eV. We take account of transverse motions both of partons inside proton ${({\vec{p}}_{T})}_{p \to q}$ , and of hadrons fragmented from quark (gluon) ${({\vec{k}}_{T})}_{q \to h}$ . In addition, we take the effects of scale violation into account. We compared the numerical results thus obtained with cosmic-ray data in the energy region ∼ $10^{14}$ eV, observed at Mt. Chacaltaya by Japan-Brazil emulsion-chamber collaboration. After eliminating carefully the bias effect inherent there, we found the theoretical calculations reproduced surprisingly well the cosmic-ray data on large $p_{T γ}$ not only in the shape, but also in the absolute value. We obtain also the production cross sections of $π^{+}$ and $K^{+}$ expected from the forthcoming $\bar{p} - p$ colliding beams with $\sqrt{s} = 540$ GeV at Fermilab and CERN in the early 1980's, with use of the formula derived in the present paper.

References (35)

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[c1] M. Oda and Y. Tanaka, J. Phys. Soc. Jpn. 17, Suppl. A-III, 282 (1962) S. Miyake, K. Hinotani, and T. Kaneko, 18, 592 (1963) T. Matano et al., in Proceedings of the 9th International Conference on Cosmic Rays, Calgary, 1967 [Can. J. Phys. 46, S56 (1968)] Japan-Brazil Collaboration, 46, 660 (1968)

[c2] Japan-Brazil Collaboration, in Proceedings of the Thirteenth International Conference on Cosmic Rays, Denver, 1973 (Colorado Associated University Press, Boulder, 1973), Vol. 3, p. 222

[c3] F. W. Busser et al., Phys. Lett. 46B, 471 (1973)

[c4] J. D. Bjorken and E. A. Paschos, Phys. Rev. 185, 1975 (1969) R. P. Feynman, in High Energy Collisions, edited by C. N. Yang (Gordon and Breach, New York, 1969)

[c5] R. D. Field and R. P. Feynman, Phys. Rev. D 15, 2590 (1977)

[c6] S. J. Brodsky and G. Farrar, Phys. Rev. Lett. 31, 1153 (1973) R. Blankenbecler and S. J. Brodsky, Phys. Rev. D 10, 2973 (1974) J. Gunion, ibid. 10, 242 (1974)

[c7] R. P. Feynman, R. D. Field, and G. C. Fox, Phys. Rev. D 18, 3320 (1978)

[c8] R. E. Taylor, in Proceedings of the International Conference on High Energy Physics, Tokyo, 1978, edited by S. Homma, M. Kawaguchi, and H. Miyazawa (Phys. Soc. of Japan, Tokyo, 1979), p. 285 R. Wilson, Proceedings of the International Conference on High Energy Physics, Tokyo, 1978Phys. Soc. of Japan, Tokyo1979, p. 306

[c9] E. M. Riordan et al., Report No. SLAC-Pub-1634, 1975 (unpublished)

[c10] D. P. Barber et al., Phys. Rev. Lett. 43, 830 (1979) TASSO Collaboration, Report No.DESY 79/61, 1979 (unpublished)

[c11] Japan-Brazil Collaboration, in Sixteenth International Cosmic Ray Conference, Kyoto, 1979, Conference Papers (Institute of Cosmic Ray Research, Univ. of Tokyo, Tokyo, 1979), Vol. 3, p. 362

[c12] Brazil-Japan Collaboration, Prog. Theor. Phys. Suppl. 47, 1 (1971)

[c13] Japan-Brazil Collaboration, Can. J. Phys. 46, S660 (1968)

[c14] Brazil-Japan Collaboration, CKJ Report No. 13, 1975 from Cosmic Ray Laboratory, Univ. of Tokyo (unpublished) [2]

[c15] D. R. O. Morrison, Report No. CERN/D.Ph. II/Phys 73-11, 1973 (unpublished)

[c16] V. V. Guseva et al., J. Phys. Soc. Jpn. 17, Suppl. A-111 (1959) 375

[c17] Japan-Brazil Collaboration, in Proceedings of the Thirteenth International Conference on Cosmic Rays, Denver, 1973 (Colorado Associated University Press, Boulder, 1973), Vol. 3, p. 2219

[c18] R. W. Ellsworth, G. B. Yodh, and T. K. Gaisser, in Cosmic Rays and Particle Physics—1978, proceedings of the Bartol Conference, edited by T. K. Gaisser (AIP, New York, 1979) N. Arata, in Sixteenth International Cosmic Ray Conference, Kyoto, 1979, Conference Papers ([11]), Vol. 6, p. 283

[c19] N. Arata, Nuovo Cimento 43A, 455 (1978)

[c20] T. Shibata, CRL Report No. 53, 1977 (unpublished)

[c21] D. H. Perkins and P. H. Fowler, Proc. R. Soc. London A218, 401 (1964)

[c22] G. Neuhofer et al., Phys. Lett. 38B, 51 (1972)

[c23] E. Konishi, E. H. Shibuya, T. Shibata, and N. Tateyama, Prog. Theor. Phys. 56,(No. 6) (1976)

[c24] B. L. Combridge, J. Kripfganz, and J. Ranft, Phys. Lett. 70B, 234 (1977)

[c25] R. Cutler and D. Sivers, Phys. Rev. D 16, 679 (1977)

[c26] H. Georgi and H. D. Politzer, Phys. Rev. D 14, 1829 (1976) G. C. Fox, Nucl. Phys. B131, 107 (1977)

[c27] V. Barger and R. J. N. Phillips, Nucl. Phys. B73, 269 (1974)

[c28] [7]

[c29] C. Rubbia et al., Reports Nos. CERN/SPSC/78-06, 1978 and SPSC/P92, 1978 (unpublished)

[c30] J. Kempa, J. Wdowczyk, and E. Zujewska, in Proceedings of the Thirteenth International Conference on Cosmic Rays, Denver, 1973 (Colorado Associated University Press, Boulder, 1973), Vol. 3, p. 2145 R. A. Nam et al., in Proceedings of the Fifteenth International Conference on Cosmic Rays, Plovdiv, 1977, edited by B. Betev (Bulgarian Academy of Sciences, Sofia, 1977), Vol. 8, p. 104 G. B. Yodh, Y. Pal and J. S. Trefil, Phys. Rev. Lett. 28, 1005 (1972)

[c31] U. Amaldi et al., Phys. Lett. 66B, 390 (1977) T. Yoshida, in Sixteenth International Cosmic Ray Conference, Kyoto, 1979, Conference Papers ([11]), Vol. 7, p. 311

[c32] W. Busza, in Proceedings of the Seventh International Colloquium on Multiparticle Production, Tutzing, Germany, 1976, edited by J. Benecke (Max-Planck-Institute, Munich, Germany, 1976)

[c33] T. Shibata, in Sixteenth International Cosmic Ray Conference, Kyoto, 1979, Conference Papers ([11]), Vol. 7, p. 346

[c34] G. B. Khristiansen, Rapporteur Talk at 14th International Cosmic Ray Conference, Munchen (1975) J. Wdowczyk, Rapporteur Talk at 14th International Cosmic Ray Conference, Munchen (1975) p. 4012

[c35] M. Dardo, S. Alessio, and K. Sitte, in Sixteenth International Cosmic Ray Conference, Kyoto, 1979, Conference Papers ([11]), Vol. 7, p. 81

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Forward hard scattering in hadron-hadron collisions in the energy region ∼ $10^{14}$ eV

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Forward hard scattering in hadron-hadron collisions in the energy region ∼ 1014 eV

Abstract

References (35)

Forward hard scattering in hadron-hadron collisions in the energy region ∼ $10^{14}$ eV