Models for Meson-Deuteron Scattering in the Resonant Region

Rubin H. Landau

doi:10.1103/PhysRevD.3.81

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Models for Meson-Deuteron Scattering in the Resonant Region

Rubin H. Landau^*

Department of Physics, University of Illinois, Urbana, Illinois 61801

^*Union Carbide Corporation Fellow. Present address: Department of Physics, University of Pittsburgh, Pittsburgh, Pa. 15213.

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Phys. Rev. D 3, 81 – Published 1 January, 1971

DOI: https://doi.org/10.1103/PhysRevD.3.81

Abstract

A model is presented which extends the Glauber-theory description of meson scattering from deuterons to regions in which the meson-nucleon cross section varies rapidly or resonates. A Watson form of multiple-scattering theory is employed to derive a model which includes effects caused by the nucleons' Fermi momenta, nonforward intermediate scattering, and off-energy-shell scattering. It is concluded, after a numerical analysis, that the Glauber theory itself could generate the large oscillations in ${〈 r^{- 2} 〉}_{d}$ reported in the analysis of $π^{+} d$ data around 1 $\frac{GeV}{c}$ and could introduce small peaks into the deduced $I = 0$ channel of the $K^{+} n$ cross section. Nevertheless, conclusions drawn by following the usual folding procedures are not altered significantly by this model, for the $K^{+} d$ data of Cool et al.

References (32)

R. J. Glauber, Phys. Rev. 99, 630 (1955) ibid.100, 242 (1955) R. J. GlauberLectures in Theoretical Physics, edited by W. Brittin and L. Dunham (Interscience, New York, 1959)
R. L. Cool, G. Giacomelli, T. F. Kycia, B. A. Leontic, K. K. Li, A. Lundby, and J. Teiger, Phys. Rev. Letters 17, 102 (1966)
R. J. Abrams, R. L. Cool, G. Giacomelli, T. F. Kycia, K. K. Liand, and D. N. Michael, Phys. Letters 30B, 564 (1969)
D. V. Bugg, R. S. Gilmore, K. M. Knight, D. C. Salter, G. H. Stafford, E. J. N. Wilson, J. D. Davies, J. D. Dowell, P. M. Hattersley, R. J. Homer, A. W. O'Dell, A. A. Carter, R. J. Tapper, and K. F. Riley, Phys. Rev. 168, 1466 (1968)
A. A. Carter, K. F. Riley, R. J. Tapper, D. V. Bugg, R. S. Gilmore, K. M. Knight, D. C. Salter, G. H. Stafford, E. J. N. Wilson, J. D. Davies, J. D. Dowell, P. M. Hattersley, R. J. Homer, and A. W. O'Dell, Phys. Rev. 168, 1457 (1968)
R. D. Tripp, in Proceedings of the Fourteenth International Conference on High-Energy Physics, Vienna 1968, edited by J. Prentki and J. Steinberger (CERN, Geneva, 1968), p. 174 M. Krammer and E. L. Lomon, Phys. Rev. Letters 20, 71 (1968)
S. Kato, P. Koehler, T. Novey, A. Yokosawa, and G. Burleson, Phys. Rev. Letters 24, 615 (1970)
L. R. Price, N. Barash-Schmidt, O. Benary, R. W. Bland, A. H. Rosenfeld, and C. G. Wohl, LRL Report No. UCRL-20000 $K^{+} N$ 1969 (unpublished)
J. Pumplin, Phys. Rev. 173, 1651 (1968)
G. Fäldt and T. E. O. Ericson, Nucl. Phys. B8, 1 (1968)
G. Alberi and L. Bertocchi, Phys. Letters 28B, 186 (1968) Nuovo Cimento 63A, 285 (1969)
D. V. Bugg, D. C. Salter, G. H. Stafford, R. F. George, K. F. Riley, and R. J. Tapper, Phys. Rev. 146, 980 (1966)
A. K. Kerman, H. McManus, and R. M. Thaler, Ann. Phys. (N. Y.) 8, 551 (1959) G. Chew and M. Goldberger, Phys. Rev. 87, 778 (1952) M. Goldberger and K. Watson, Collision Theory (Wiley, New York, 1964)
R. J. Glauber, in Proceedings of the Third International Conference on High-Energy Physics and Nuclear Structure, New York, 1961, edited by S. Devons (Plenum, New York, 1970)
J. H. Hetherington and L. H. Schick, Phys. Rev. 138, B1411 (1965)
G. C. Fox and C. Quigg, LRL Report No. UCRL-20001, 1970 (unpublished)
R. Levi-Setti and E. Predazzi, in Proceedings of the Thirteenth International Conference on High-Energy Physics, Berkeley, 1966 (University of California Press, Berkeley, 1967)
J. D. Jackson, Nuovo Cimento 34, 1644 (1964)
V. Franco and R. J. Glauber, Phys. Rev. 142, 1195 (1966)
M. Moravcski, Nucl. Phys. 7, 113 (1958)
C. Wilkin, Phys. Rev. Letters 17, 501 (1966)
R. H. Landau (unpublished)
D. R. Harrington, Phys. Rev. 184, 1745 (1969)
Omitted endnote
D. Hywel White, BNL Report No. BNL 50212, C-58 (unpublished)
[3]
A. A. Carter, HEP Report No. HEP68-10, 1968 (unpublished)
E. S. Abers, H. Burkhardt, V. L. Teplitz, and C. Wilkin, Nuovo Cimento 42, 365 (1966) L. Bertocchi and A. Capella, ibid. 51A, 369 (1967)
G. Alberi and L. Bertocchi, Nuovo Cimento 61A, 203 (1969) J. Pumplin and M. Ross, Phys. Rev. Letters 21, 1778 (1968)
E. A. Remler, Phys. Rev. 176, 2108 (1968)
A. K. Kerman and L. S. Kisslinger, Phys. Rev. 180, 1483 (1969)
D. R. Harrington and A. Pagnamenta, Phys. Rev. 173, 1599 (1968)

[c1] R. J. Glauber, Phys. Rev. 99, 630 (1955) ibid.100, 242 (1955) R. J. GlauberLectures in Theoretical Physics, edited by W. Brittin and L. Dunham (Interscience, New York, 1959)

[c2] R. L. Cool, G. Giacomelli, T. F. Kycia, B. A. Leontic, K. K. Li, A. Lundby, and J. Teiger, Phys. Rev. Letters 17, 102 (1966)

[c3] R. J. Abrams, R. L. Cool, G. Giacomelli, T. F. Kycia, K. K. Liand, and D. N. Michael, Phys. Letters 30B, 564 (1969)

[c4] D. V. Bugg, R. S. Gilmore, K. M. Knight, D. C. Salter, G. H. Stafford, E. J. N. Wilson, J. D. Davies, J. D. Dowell, P. M. Hattersley, R. J. Homer, A. W. O'Dell, A. A. Carter, R. J. Tapper, and K. F. Riley, Phys. Rev. 168, 1466 (1968)

[c5] A. A. Carter, K. F. Riley, R. J. Tapper, D. V. Bugg, R. S. Gilmore, K. M. Knight, D. C. Salter, G. H. Stafford, E. J. N. Wilson, J. D. Davies, J. D. Dowell, P. M. Hattersley, R. J. Homer, and A. W. O'Dell, Phys. Rev. 168, 1457 (1968)

[c6] R. D. Tripp, in Proceedings of the Fourteenth International Conference on High-Energy Physics, Vienna 1968, edited by J. Prentki and J. Steinberger (CERN, Geneva, 1968), p. 174 M. Krammer and E. L. Lomon, Phys. Rev. Letters 20, 71 (1968)

[c7] S. Kato, P. Koehler, T. Novey, A. Yokosawa, and G. Burleson, Phys. Rev. Letters 24, 615 (1970)

[c8] L. R. Price, N. Barash-Schmidt, O. Benary, R. W. Bland, A. H. Rosenfeld, and C. G. Wohl, LRL Report No. UCRL-20000 $K^{+} N$ 1969 (unpublished)

[c9] J. Pumplin, Phys. Rev. 173, 1651 (1968)

[c10] G. Fäldt and T. E. O. Ericson, Nucl. Phys. B8, 1 (1968)

[c11] G. Alberi and L. Bertocchi, Phys. Letters 28B, 186 (1968) Nuovo Cimento 63A, 285 (1969)

[c12] D. V. Bugg, D. C. Salter, G. H. Stafford, R. F. George, K. F. Riley, and R. J. Tapper, Phys. Rev. 146, 980 (1966)

[c13] A. K. Kerman, H. McManus, and R. M. Thaler, Ann. Phys. (N. Y.) 8, 551 (1959) G. Chew and M. Goldberger, Phys. Rev. 87, 778 (1952) M. Goldberger and K. Watson, Collision Theory (Wiley, New York, 1964)

[c14] R. J. Glauber, in Proceedings of the Third International Conference on High-Energy Physics and Nuclear Structure, New York, 1961, edited by S. Devons (Plenum, New York, 1970)

[c15] J. H. Hetherington and L. H. Schick, Phys. Rev. 138, B1411 (1965)

[c16] G. C. Fox and C. Quigg, LRL Report No. UCRL-20001, 1970 (unpublished)

[c17] R. Levi-Setti and E. Predazzi, in Proceedings of the Thirteenth International Conference on High-Energy Physics, Berkeley, 1966 (University of California Press, Berkeley, 1967)

[c18] J. D. Jackson, Nuovo Cimento 34, 1644 (1964)

[c19] V. Franco and R. J. Glauber, Phys. Rev. 142, 1195 (1966)

[c20] M. Moravcski, Nucl. Phys. 7, 113 (1958)

[c21] C. Wilkin, Phys. Rev. Letters 17, 501 (1966)

[c22] R. H. Landau (unpublished)

[c23] D. R. Harrington, Phys. Rev. 184, 1745 (1969)

[c24] Omitted endnote

[c25] D. Hywel White, BNL Report No. BNL 50212, C-58 (unpublished)

[c26] [3]

[c27] A. A. Carter, HEP Report No. HEP68-10, 1968 (unpublished)

[c28] E. S. Abers, H. Burkhardt, V. L. Teplitz, and C. Wilkin, Nuovo Cimento 42, 365 (1966) L. Bertocchi and A. Capella, ibid. 51A, 369 (1967)

[c29] G. Alberi and L. Bertocchi, Nuovo Cimento 61A, 203 (1969) J. Pumplin and M. Ross, Phys. Rev. Letters 21, 1778 (1968)

[c30] E. A. Remler, Phys. Rev. 176, 2108 (1968)

[c31] A. K. Kerman and L. S. Kisslinger, Phys. Rev. 180, 1483 (1969)

[c32] D. R. Harrington and A. Pagnamenta, Phys. Rev. 173, 1599 (1968)

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Models for Meson-Deuteron Scattering in the Resonant Region

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