Measurement of <span class="aps-inline-formula"><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><mi>T</mi><mo>=</mo><mn>2</mn><mn></mn></math></span> Elastic <span class="aps-inline-formula"><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><mi>π</mi><mi>π</mi></math></span> Cross Sections

Experimental differential cross sections from data on the reaction $π^{-} p \to (π^{-} π^{-}) Δ^{+ +}$ at beam momenta of 2.7, 3.0, 3.2, 3.9, and 4.2 $\frac{GeV}{c}$ have been extrapolated to the one-pion-exchange pole to obtain the $π^{-} π^{-}$ elastic scattering cross section. An attempt is made to correct for background due to kinematic overlap with the competing one-pion-exchange process $π^{-} p \to ρ^{0} (π^{-} p)$ . Analyses done independently on the data in two beam-momentum groupings at ∼3.0 and ∼4.0 $\frac{GeV}{c}$ give consistent results of a roughly constant 7-11-mb cross section for $π^{-} π^{-} \to π^{-} π^{-}$ over the dipion mass range 440-750 MeV. Our results are compared with available results from other analyses and with several theoretical predictions for the $T = 2$ $s$ -wave phase shift ${δ_{0}}^{2}$ .

References (27)

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[c1] G. F. Chew and F. E. Low. Phys. Rev. 113, 1640 (1959)

[c2] Z. Ming Ma et al., Phys. Rev. Letters 23, 342 (1969)

[c3] P. R. Klein et al., Phys. Rev. 150, 1123 (1966)

[c4] A. W. Key et al., Phys. Rev. 166, 1430 (1968)

[c5] S. U. Chung, LRL Report No. UCRL-16881-Rev., 1967 (unpublished) S. U. Chung, O. I. Dahl, J. Kirz, and D. H. Miller, Phys. Rev. 165, 1491 (1968)

[c6] K. Abe et al., Phys. Rev. Letters 22, 251 (1969)

[c7] E. Ferrari and F. Selleri, Nuovo Cimento Suppl. 24, 453 (1962)

[c8] H. P. Dürr and H. Pilkuhn, Nuovo Cimento 40, 899 (1965)

[c9] J. Benecke and H. P. Dürr, Nuovo Cimento 56, 269 (1968)

[c10] G. Wolf, Phys. Rev. Letters 19, 925 (1967)

[c11] P. Schlein, in Meson Spectroscopy, edited by C. Baltay and A. H. Rosenfeld (Benjamin, New York, 1968), p. 161 Proceedings of the Conference on $π π$ and $K π$ Interactions (Argonne National Laboratory, Argonne, Ill., 1969), pp. 1 and 446

[c12] G. Wolf, Phys. Rev. 182, 1538 (1969)

[c13] C. Lovelace, in Proceedings of the Conference on $π π$ and $K π$ Interactions (Argonne National Laboratory, Argonne, Ill., 1969), p. 562; p. 18

[c14] J. P. Baton and G. Laurens, in Proceedings of the Conference on $π π$ and $K π$ Interactions (Argonne National Laboratory, Argonne, Ill., 1969), p. 131

[c15] P. G. Wohlmut et al., Nucl. Phys. B18, 505 (1970) [6]

[c16] E. Malamud and P. E. Schlein, in Proceedings of the Conference on $π π$ and $K π$ Interactions (Argonne National Laboratory, Argonne, Ill., 1969), p. 93

[c17] J. P. Baton, G. Laurens, and J. Reignier, Nucl. Phys. B3, 349 (1967)

[c18] W. M. Katz, T. Ferbel, P. F. Slattery, and H. Yuta, in Proceedings of the Conference on $π π$ and $K π$ Interactions (Argonne National Laboratory, Argonne, Ill., 1969), p. 300

[c19] G. V. Beketov et al., Institute for Theoretical and Experimental Physics Report No. ITEP-767, 1970 (unpublished)

[c20] W. D. Walker et al., Phys. Rev. Letters 18, 630 (1967)

[c21] R. Arnowitt, in Proceedings of the Conference on $π π$ and $K π$ Interactions (Argonne National Laboratory, Argonne, Ill., 1969), p. 619

[c22] F. Wagner, Nuovo Cimento 64A, 189 (1969)

[c23] J. H. Friedman, J. Computational Phys. (to be published)

[c24] ([27]) E. Colton and P. Schlein, in Proceedings of the Conference on $π π$ and $K π$ Interactions (Argonne National Laboratory, Argonne, Ill., 1969), p. 1

[c25] A. Donnachie, R. G. Kirsopp, and C. Lovelace, CERN Report No. CERN-TH 838, Addendum, 1967 (unpublished)

[c26] [16]

[c27] E. Colton, P. E. Schlein, E. Gellert, and G. A. Smith, Phys. Rev. D 3, 1063 (1971)

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Measurement of $T = 2$ Elastic $π π$ Cross Sections

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Measurement of T=2 Elastic ππ Cross Sections

Abstract

References (27)

Measurement of $T = 2$ Elastic $π π$ Cross Sections