Hard-Meson Calculation of <span class="aps-inline-formula"><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><mrow><msub><mrow><mi>K</mi></mrow><mrow><mi>π</mi></mrow></msub></mrow></math></span> Scattering

Paul Pond

doi:10.1103/PhysRevD.3.2210

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Hard-Meson Calculation of $K_{π}$ Scattering

Paul Pond^*

Department of Physics, Northeastern University, Boston, Massachusetts 02115

^*Present address: Department of Physics, Westfield College, University of London, London, N. W. 3, England.

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Phys. Rev. D 3, 2210 – Published 1 May, 1971

DOI: https://doi.org/10.1103/PhysRevD.3.2210

Abstract

The hard-meson $SU (3) \times SU (3)$ current-algebra four-point functions are applied to $K π$ scattering, using pole dominance of the $σ$ commutators. The $S$ - and $P$ -wave scattering lengths and effective ranges are extracted. The hard-meson $S$ -wave scattering lengths differ from the soft-pion Weinberg scattering lengths by only a few percent. Energy-dependent fits up to 1 GeV and above are made. All the available experimental data on the elastic and charge-exchange cross sections and phase shifts can be fitted using the parameter $\frac{F_{K}}{F_{π}}$ .

References (24)

Proceedings of the Conference on $π π$ and $K π$ Interaction (Argonne National Laboratory, Argonne, 1969)
R. Arnowitt, M. H. Friedman, and P. Nath, Phys. Rev. Letters 19, 1085 (1967) Phys. Rev. 174, 1999 (1968) R. Arnowitt, M. H. Friedman, P. Nath, and R. Suitor, ibid. 175, 1802 (1968)
[2] H. Schnitzer and S. Weinberg, Phys. Rev. 164, 1828 (1967) I. S. Gerstein and H. J. Schnitzer, ibid. 170, 1638 (1968) S. G. Brown and G. B. West, Phys. Rev. Letters 19, 812 (1967) Phys. Rev. 168, 1605 (1968) J. Schwinger, Phys. Letters 24B, 473 (1967) J. J. Wess and B. Zumino, Phys. Rev. 163, 1727 (1967) B. Lee and H. T. Nieh, ibid. 166, 1507 (1968) T. Das, V. S. Mathur, and S. Okubo, Phys. Rev. Letters 19, 859 (1967)
R. Arnowitt, M. H. Friedman, P. Nath, and R. Suitor, Phys. Rev. Letters 20, 475 (1968) Phys. Rev. 175, 1820 (1968)
R. Arnowitt, M. H. Friedman, and P. Nath, Nucl. Phys. B10, 578 (1969) Northeastern University report, 1968 (unpublished)
L. N. Chang and Y. C. Leung, Phys. Rev. Letters 21, 122 (1968) I. S. Gerstein and H. J. Schnitzer, Phys. Rev. 175, 1876 (1968) L. K. Pande, Phys. Rev. Letters 23, 353 (1969) P. Auvil and N. Deshpande, Phys. Rev. 183, 1463 (1969)
R. Arnowitt, M. H. Friedman, P. Nath, and R. Suitor, Phys. Rev. D 3, 594 (1971)
M. Gell-Mann, Physics 1, 63 (1964)
Omitted endnote
S. Weinberg, Phys. Rev. Letters 18, 507 (1967)
L. K. Pande, Phys. Rev. 184, 1683 (1969)
([13]) ([13]) L. K. Pande, Phys. Rev. Letters 23, 353 (1969)
S. Glashow and S. Weinberg, Phys. Rev. Letters 20, 224 (1968)
T. G. Trippe, C.-Y. Chien, E. Mellema, P. E. Schlein, W. E. Slater, D. H. Stork, and H. K. Ticho, Phys. Rev. Letters 28B, 203 (1968)
N. Breene (unpublished)
D. J. Crennell, Uri Karshon, K. W. Lai, J. S. O'Neall, and J. M. Scarr, Phys. Rev. Letters 22, 487 (1969)
L. K. Pande (private communication)
S. Weinberg, Phys. Rev. Letters 17, 616 (1966)
C. Lovelace, in [1]
R. Mercer, P. Antich, A. Callahan, C.-Y. Chien, B. Cox, R. Carson, D. Denegri, L. Ettlinger, D. Feiock, G. Goodman, J. Haynes, A. Pevsner, R. Sekulin, V. Sreendhar, and R. Zdanis, The Johns Hopkins University report (unpublished)
[20] ([14,1])
[20]
[14]
CERN, private communication C. Lovelace, in [1]

[c1] Proceedings of the Conference on $π π$ and $K π$ Interaction (Argonne National Laboratory, Argonne, 1969)

[c2] R. Arnowitt, M. H. Friedman, and P. Nath, Phys. Rev. Letters 19, 1085 (1967) Phys. Rev. 174, 1999 (1968) R. Arnowitt, M. H. Friedman, P. Nath, and R. Suitor, ibid. 175, 1802 (1968)

[c3] [2] H. Schnitzer and S. Weinberg, Phys. Rev. 164, 1828 (1967) I. S. Gerstein and H. J. Schnitzer, ibid. 170, 1638 (1968) S. G. Brown and G. B. West, Phys. Rev. Letters 19, 812 (1967) Phys. Rev. 168, 1605 (1968) J. Schwinger, Phys. Letters 24B, 473 (1967) J. J. Wess and B. Zumino, Phys. Rev. 163, 1727 (1967) B. Lee and H. T. Nieh, ibid. 166, 1507 (1968) T. Das, V. S. Mathur, and S. Okubo, Phys. Rev. Letters 19, 859 (1967)

[c4] R. Arnowitt, M. H. Friedman, P. Nath, and R. Suitor, Phys. Rev. Letters 20, 475 (1968) Phys. Rev. 175, 1820 (1968)

[c5] R. Arnowitt, M. H. Friedman, and P. Nath, Nucl. Phys. B10, 578 (1969) Northeastern University report, 1968 (unpublished)

[c6] L. N. Chang and Y. C. Leung, Phys. Rev. Letters 21, 122 (1968) I. S. Gerstein and H. J. Schnitzer, Phys. Rev. 175, 1876 (1968) L. K. Pande, Phys. Rev. Letters 23, 353 (1969) P. Auvil and N. Deshpande, Phys. Rev. 183, 1463 (1969)

[c7] R. Arnowitt, M. H. Friedman, P. Nath, and R. Suitor, Phys. Rev. D 3, 594 (1971)

[c8] M. Gell-Mann, Physics 1, 63 (1964)

[c9] Omitted endnote

[c10] S. Weinberg, Phys. Rev. Letters 18, 507 (1967)

[c11] L. K. Pande, Phys. Rev. 184, 1683 (1969)

[c12] ([13]) ([13]) L. K. Pande, Phys. Rev. Letters 23, 353 (1969)

[c13] S. Glashow and S. Weinberg, Phys. Rev. Letters 20, 224 (1968)

[c14] T. G. Trippe, C.-Y. Chien, E. Mellema, P. E. Schlein, W. E. Slater, D. H. Stork, and H. K. Ticho, Phys. Rev. Letters 28B, 203 (1968)

[c15] N. Breene (unpublished)

[c16] D. J. Crennell, Uri Karshon, K. W. Lai, J. S. O'Neall, and J. M. Scarr, Phys. Rev. Letters 22, 487 (1969)

[c17] L. K. Pande (private communication)

[c18] S. Weinberg, Phys. Rev. Letters 17, 616 (1966)

[c19] C. Lovelace, in [1]

[c20] R. Mercer, P. Antich, A. Callahan, C.-Y. Chien, B. Cox, R. Carson, D. Denegri, L. Ettlinger, D. Feiock, G. Goodman, J. Haynes, A. Pevsner, R. Sekulin, V. Sreendhar, and R. Zdanis, The Johns Hopkins University report (unpublished)

[c21] [20] ([14,1])

[c22] [20]

[c23] [14]

[c24] CERN, private communication C. Lovelace, in [1]

Physical Review D

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Hard-Meson Calculation of $K_{π}$ Scattering

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Hard-Meson Calculation of Kπ Scattering

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References (24)

Hard-Meson Calculation of $K_{π}$ Scattering