Pole Extrapolation of the Reactions <span class="aps-inline-formula"><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><mrow><msup><mrow><mi>π</mi></mrow><mrow><mo>−</mo></mrow></msup></mrow><mi>p</mi><mo>→</mo><mrow><msup><mrow><mi>π</mi></mrow><mrow><mo>−</mo></mrow></msup></mrow><mrow><msup><mrow><mi>π</mi></mrow><mrow><mo>+</mo></mrow></msup></mrow><mi>n</mi></math></span> and <span class="aps-inline-formula"><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><mrow><msup><mrow><mi>π</mi></mrow><mrow><mo>+</mo></mrow></msup></mrow><mi>p</mi><mo>→</mo><mrow><msup><mrow><mi>π</mi></mrow><mrow><mo>+</mo></mrow></msup></mrow><mrow><msup><mrow><mi>π</mi></mrow><mrow><mo>−</mo></mrow></msup></mrow><mrow><msup><mrow><mi>Δ</mi></mrow><mrow><mo>+</mo><mo>+</mo></mrow></msup></mrow><mn></mn><mo>(</mo><mn>1238</mn><mo>)</mo><mn></mn></math></span>

Eugene Colton; Ernest Malamud

doi:10.1103/PhysRevD.3.2033

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Pole Extrapolation of the Reactions $π^{-} p \to π^{-} π^{+} n$ and $π^{+} p \to π^{+} π^{-} Δ^{+ +} (1238)$

Eugene Colton

Ernest Malamud

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

National Accelerator Laboratory, Batavia, Illinois 60510

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Phys. Rev. D 3, 2033 – Published 1 May, 1971

DOI: https://doi.org/10.1103/PhysRevD.3.2033

Abstract

Experimental differential cross sections from data on the reactions $π^{-} p \to π^{-} π^{+} n$ and $π^{+} p \to π^{+} π^{-} Δ^{+ +} (1238)$ have been extrapolated to the one-pion-exchange pole to obtain the $π^{+} π^{-}$ elastic scattering cross section from threshold to 1.4 GeV. Consistent results are obtained in three c.m. energy ranges for both reactions. The data have been fitted to several $t$ -dependent extrapolation functions, and the results of the fits are tabulated and plotted as a function of $π^{+} π^{-}$ effective mass. In particular, we find cross sections of approximately 25 and 125 mb, respectively, at the $K$ and central $ρ^{0} (765)$ mass positions.

References (19)

C. Goebel, Phys. Rev. Letters 1, 337 (1958) G. F. Chew and F. E. Low, Phys. Rev. 113, 1640 (1959)
G. L. Kane, in Experimental Meson Spectroscopy 1970, edited by C. Baltay and A. H. Rosenfeld (Columbia U. P., New York, 1971), p. 1
S. Marateck et al., Phys. Rev. Letters 21, 1613 (1968)
J. P. Baton et al., Phys. Letters 33B, 525 (1970)
Z. Ming Ma et al., Phys. Rev. Letters 23, 342 (1969) E. Colton and P. E. Schlein, in Proceedings of the Conference on $π π$ and $K π$ Interactions (Argonne National Laboratory, Argonne, Ill., 1969), p. 1
V. Hagopian et al., Phys. Rev. 145, 1128 (1966) Y. Pan. ibid. 152, 1183 (1966) D. H. Miller et al., ibid. 153, 1423 (1967) L. Jacobs, LRL Report No. UCRL-16877, 1966 (unpublished) D. R. Clear et al., Nuovo Cimento 49A, 399 (1967) A. W. Key et al., Phys. Rev. 166, 1430 (1968)
P. Slattery, H. Kraybill, B. Forman, and T. Ferbel, Nuovo Cimento 50A, 377 (1967) D. Brown et al., Phys. Rev. Letters 19, 664 (1969) , Phys. Rev. D 1, 3053 (1970) G. Goldhaber et al., Phys. Rev. Letters 12, 336 (1964) Maris Abolins et al., 11, 381 (1963) M. Rabin, R. Plano, C. Baltay, P. Franzini, L. Kirsch, H. Kung, and N. Yeh, Bull. Am. Phys. Soc. 12, 9 (1967)
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
E. Ferrari and F. Selleri, Nuovo Cimento Suppl. 24, 453 (1962)
H. P. Dürr and H. Pilkuhn, Nuovo Cimento 40, 899 (1965)
G. Goldhaber et al. Phys. Letters 6, 62 (1963)
G. Wolf, Phys. Rev. Letters 19, 925 (1967)
P. Schlein, in Proceedings of the Conference on $π π$ and $K π$ Interactions (Argonne National Laboratory, Argonne, Ill., 1969), pp. 1 and 446 in Meson Spectroscopy, edited by C. Baltay and A. H. Rosenfeld (Benjamin, New York, 1968), p. 161
Omitted endnote
[14]
D. Morgan and G. Shaw, Phys. Rev. D 2, 520 (1970)
A. Boyarski et al., Phys. Rev. Letters 20, 300 (1968) R. Diebold and J. Poirier, ibid. 20, 1552 (1968)
E. Colton et al., Phys. Rev. D 3, 2028 (1971)
[8] J. P. Baton et al., Phys. Letters 33B, 528 (1970)

[c1] C. Goebel, Phys. Rev. Letters 1, 337 (1958) G. F. Chew and F. E. Low, Phys. Rev. 113, 1640 (1959)

[c2] G. L. Kane, in Experimental Meson Spectroscopy 1970, edited by C. Baltay and A. H. Rosenfeld (Columbia U. P., New York, 1971), p. 1

[c3] S. Marateck et al., Phys. Rev. Letters 21, 1613 (1968)

[c4] J. P. Baton et al., Phys. Letters 33B, 525 (1970)

[c5] Z. Ming Ma et al., Phys. Rev. Letters 23, 342 (1969) E. Colton and P. E. Schlein, in Proceedings of the Conference on $π π$ and $K π$ Interactions (Argonne National Laboratory, Argonne, Ill., 1969), p. 1

[c6] V. Hagopian et al., Phys. Rev. 145, 1128 (1966) Y. Pan. ibid. 152, 1183 (1966) D. H. Miller et al., ibid. 153, 1423 (1967) L. Jacobs, LRL Report No. UCRL-16877, 1966 (unpublished) D. R. Clear et al., Nuovo Cimento 49A, 399 (1967) A. W. Key et al., Phys. Rev. 166, 1430 (1968)

[c7] P. Slattery, H. Kraybill, B. Forman, and T. Ferbel, Nuovo Cimento 50A, 377 (1967) D. Brown et al., Phys. Rev. Letters 19, 664 (1969) , Phys. Rev. D 1, 3053 (1970) G. Goldhaber et al., Phys. Rev. Letters 12, 336 (1964) Maris Abolins et al., 11, 381 (1963) M. Rabin, R. Plano, C. Baltay, P. Franzini, L. Kirsch, H. Kung, and N. Yeh, Bull. Am. Phys. Soc. 12, 9 (1967)

[c8] 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

[c9] E. Ferrari and F. Selleri, Nuovo Cimento Suppl. 24, 453 (1962)

[c10] H. P. Dürr and H. Pilkuhn, Nuovo Cimento 40, 899 (1965)

[c11] G. Goldhaber et al. Phys. Letters 6, 62 (1963)

[c12] G. Wolf, Phys. Rev. Letters 19, 925 (1967)

[c13] P. Schlein, in Proceedings of the Conference on $π π$ and $K π$ Interactions (Argonne National Laboratory, Argonne, Ill., 1969), pp. 1 and 446 in Meson Spectroscopy, edited by C. Baltay and A. H. Rosenfeld (Benjamin, New York, 1968), p. 161

[c14] Omitted endnote

[c15] [14]

[c16] D. Morgan and G. Shaw, Phys. Rev. D 2, 520 (1970)

[c17] A. Boyarski et al., Phys. Rev. Letters 20, 300 (1968) R. Diebold and J. Poirier, ibid. 20, 1552 (1968)

[c18] E. Colton et al., Phys. Rev. D 3, 2028 (1971)

[c19] [8] J. P. Baton et al., Phys. Letters 33B, 528 (1970)

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Pole Extrapolation of the Reactions $π^{-} p \to π^{-} π^{+} n$ and $π^{+} p \to π^{+} π^{-} Δ^{+ +} (1238)$

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Pole Extrapolation of the Reactions π−p→π−π+n and π+p→π+π−Δ++(1238)

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References (19)

Pole Extrapolation of the Reactions $π^{-} p \to π^{-} π^{+} n$ and $π^{+} p \to π^{+} π^{-} Δ^{+ +} (1238)$