Double-Peripheral-Model Analysis of the Reaction <span class="aps-inline-formula"><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><mrow><msup><mrow><mi>K</mi></mrow><mrow><mo>+</mo></mrow></msup></mrow><mi>p</mi><mo>→</mo><mrow><msup><mrow><mi>K</mi></mrow><mrow><mo>+</mo></mrow></msup></mrow><mrow><msup><mrow><mi>π</mi></mrow><mrow><mo>−</mo></mrow></msup></mrow><mrow><msub><mrow><mrow><msup><mrow><mi>Δ</mi></mrow><mrow><mo>+</mo><mo>+</mo></mrow></msup></mrow></mrow><mrow><mn>1236</mn></mrow></msub></mrow></math></span> at 9 <span class="aps-inline-formula"><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><mfrac><mrow><mi mathvariant="normal">GeV</mi></mrow><mrow><mi>c</mi></mrow></mfrac></math></span>

Chumin Fu

doi:10.1103/PhysRevD.3.92

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Double-Peripheral-Model Analysis of the Reaction $K^{+} p \to K^{+} π^{-} {Δ^{+ +}}_{1236}$ at 9 $\frac{GeV}{c}$

Chumin Fu^*

Lawrence Radiation Laboratory, University of California, Berkeley, California 94720

^*Present address: Department of Physics, Illinois Institute of Technology, Chicago, Ill. 60616.

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Phys. Rev. D 3, 92 – Published 1 January, 1971

DOI: https://doi.org/10.1103/PhysRevD.3.92

Abstract

Using a double-Regge-pole-exchange model, we study the low - $Δ^{+ +} π^{-}$ -mass enhancement in the reaction $K^{+} p \to K^{+} π^{-} {Δ^{+ +}}_{1236}$ at 9 $\frac{GeV}{c}$ . We find that $P$ and $π$ double exchange dominate the process. In general the model agrees with the data in the region where $M (K^{+} π^{-}) >~ 1.54$ GeV, - $t_{KK}$ <0.5 ${(\frac{GeV}{c})}^{2}$ , and - $t_{p Δ}$ <0.5 ${(\frac{GeV}{c})}^{2}$ . The possibility of extending the model into the large- $t$ region and problems involved in the extrapolation of the model to the $K π$ threshold are investigated. The importance of the contribution from the double-peripheral process in the low- $M (K^{+} π^{-})$ region and its implications for the analysis of the $K π$ system are discussed.

References (12)

C. Fu, A. Firestone, G. Goldhaber, and G. H. Trilling, Nucl. Phys. B18, 93 (1970)
(a) R. Dolen, D. Horn, and C. Schmid, Phys. Rev. 166, 1768 (1968) (b) G. F. Chew and A. Pignotti, Phys. Rev. Letters 20, 1078 (1968)
(a) N. F. Bali, G. F. Chew, and A. Pignotti, Phys. Rev. Letters 19, 614 (1967) Phys. Rev. 163, 1572 (1967) (b) Chan Hong-Mo, K. Kajantie, and G. Ranft, Nuovo Cimento 49, 157 (1967) E. Flamino, ibid. 51, 696 (1967) (c) Chan Hong-Mo and S. Ratti, in Proceedings of the Topical Conference on High-Energy Collisions of Hadrons, CERN, 1968 (Scientific Information Service, Geneva, 1968) (d) Chan Hong-Mo and O. Czyzewski, in Proceedings of the Fourteenth International Conference on High-Energy Physics, Vienna, 1968, edited by J. Prentki and J. Steinberger (CERN, Geneva, 1968) (e) J. D. Jackson, in Proceedings of the Lund International Conference on Elementary Particles, Lund, Sweden, 1969, edited by G. von Dardel (Berlingska Boktryckeriet, Lund, Sweden, 1969) (f) G. Ranft, Fortschr. Physik 18, 1 (1970) (g) E. L. Berger, Phys. Rev. 178, 1567 (1969)
(a) G. Bassompierre et al., Nucl. Phys. B14, 143 (1969) (b) J. Andrews, J. Lach, T. Ludlam, J. Sandweiss, H. D. Taft, and E. L. Berger, Phys. Rev. Letters 22, 731 (1969) [3]
J. M. Kosterlitz, Nucl. Phys. B9, 273 (1969)
J. D. Jackson, Nuovo Cimento 36, 1644 (1964)
Omitted endnote
Particle Data Group, Rev. Mod. Phys. 42, 87 (1970)
S. B. Treiman and C. N. Yang, Phys. Rev. Letters 8, 140 (1962)
H. Harari, Phys. Rev. Letters 20, 1395 (1968)
(a) C. Fu, A. Firestone, G. Goldhaber, and G. H. Trilling, Bull. Am. Phys. Soc. 14, 560 (1969) [1] (b) C. Fu, A. Firestone, G. Goldhaber, G. H. Trilling, and B. C. Shen, LRL Report No. UCRL-18201, 1968 (unpublished)
Huan Lee, J. Math. Phys. 10, 779 (1969)

[c1] C. Fu, A. Firestone, G. Goldhaber, and G. H. Trilling, Nucl. Phys. B18, 93 (1970)

[c2] (a) R. Dolen, D. Horn, and C. Schmid, Phys. Rev. 166, 1768 (1968) (b) G. F. Chew and A. Pignotti, Phys. Rev. Letters 20, 1078 (1968)

[c3] (a) N. F. Bali, G. F. Chew, and A. Pignotti, Phys. Rev. Letters 19, 614 (1967) Phys. Rev. 163, 1572 (1967) (b) Chan Hong-Mo, K. Kajantie, and G. Ranft, Nuovo Cimento 49, 157 (1967) E. Flamino, ibid. 51, 696 (1967) (c) Chan Hong-Mo and S. Ratti, in Proceedings of the Topical Conference on High-Energy Collisions of Hadrons, CERN, 1968 (Scientific Information Service, Geneva, 1968) (d) Chan Hong-Mo and O. Czyzewski, in Proceedings of the Fourteenth International Conference on High-Energy Physics, Vienna, 1968, edited by J. Prentki and J. Steinberger (CERN, Geneva, 1968) (e) J. D. Jackson, in Proceedings of the Lund International Conference on Elementary Particles, Lund, Sweden, 1969, edited by G. von Dardel (Berlingska Boktryckeriet, Lund, Sweden, 1969) (f) G. Ranft, Fortschr. Physik 18, 1 (1970) (g) E. L. Berger, Phys. Rev. 178, 1567 (1969)

[c4] (a) G. Bassompierre et al., Nucl. Phys. B14, 143 (1969) (b) J. Andrews, J. Lach, T. Ludlam, J. Sandweiss, H. D. Taft, and E. L. Berger, Phys. Rev. Letters 22, 731 (1969) [3]

[c5] J. M. Kosterlitz, Nucl. Phys. B9, 273 (1969)

[c6] J. D. Jackson, Nuovo Cimento 36, 1644 (1964)

[c7] Omitted endnote

[c8] Particle Data Group, Rev. Mod. Phys. 42, 87 (1970)

[c9] S. B. Treiman and C. N. Yang, Phys. Rev. Letters 8, 140 (1962)

[c10] H. Harari, Phys. Rev. Letters 20, 1395 (1968)

[c11] (a) C. Fu, A. Firestone, G. Goldhaber, and G. H. Trilling, Bull. Am. Phys. Soc. 14, 560 (1969) [1] (b) C. Fu, A. Firestone, G. Goldhaber, G. H. Trilling, and B. C. Shen, LRL Report No. UCRL-18201, 1968 (unpublished)

[c12] Huan Lee, J. Math. Phys. 10, 779 (1969)

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Double-Peripheral-Model Analysis of the Reaction $K^{+} p \to K^{+} π^{-} {Δ^{+ +}}_{1236}$ at 9 $\frac{GeV}{c}$

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Double-Peripheral-Model Analysis of the Reaction K+p→K+π−Δ++1236 at 9 GeVc

Abstract

References (12)

Double-Peripheral-Model Analysis of the Reaction $K^{+} p \to K^{+} π^{-} {Δ^{+ +}}_{1236}$ at 9 $\frac{GeV}{c}$