Dispersion Sum Rules, Interference Model, Duality, and the <span class="aps-inline-formula"><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><mi>p</mi><mo>−</mo><mi>n</mi></math></span> Mass Difference

J. P. Hsu; R. N. Mohapatra; S. Okubo

doi:10.1103/PhysRev.181.2011

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Dispersion Sum Rules, Interference Model, Duality, and the $p - n$ Mass Difference

J. P. Hsu, R. N. Mohapatra, and S. Okubo

Department of Physics and Astronomy, University of Rochester, Rochester, New York 14627

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Phys. Rev. 181, 2011 – Published 25 May, 1969

DOI: https://doi.org/10.1103/PhysRev.181.2011

Abstract

On the basis of new dispersion relations, an attempt has been made to derive an interference model together with the duality principle for the $π^{-} p \to π^{0} n$ reaction. Also, the same technique has been applied to the calculation of the $p - n$ mass difference with some success.

References (25)

Y. C. Liu and S. Okubo, Phys. Rev. Letters 19, 190 (1967) Phys. Rev. 168, 1712 (1968)
M. G. Olsson, Phys. Letters 26B, 319 (1967) ibid.19, 550 (1967)
K. V. Vasavada and K. Raman, Phys. Rev. Letters 21, 577 (1968) P. D. Vecchia, F. Drago, C. Ferro-Fontain, R. Odorico, and M. L. Paciello, Phys. Letters 27B, 296 (1968)
V. Barger and M. Olsson, Phys. Rev. 151, 1123 (1966) V. Barger and D. Cline, 155, 1792 (1967)
R. Dolen, D. Horn, and C. Schmid, Phys. Rev. Letters 19, 402 (1967) Phys. Rev. 166, 1768 (1968) C. Schmid, Phys. Rev. Letters 20, 689 (1968)
C. B. Chiu and A. V. Stirling, Nuovo Cimento 57A, 805 (1968)
Y. Kosaka, O. Miyamura, F. Takagi, and K. Itabashi, Tohoku University Report, 1968 (unpublished)
K. Igi and S. Matsuda, Phys. Rev. Letters 18, 625 (1967) ibid.19, 928 (1967)
G. Veneziano, Nuovo Cimento 57A, 190 (1968)
K. Igi, Phys. Letters 28B, 330 (1968)
H. Harari, Phys. Rev. Letters 17, 1303 (1966)
K. Nishijima, Fundamental Particles (W. A. Benjamin, Inc., New York, 1963)
R. Jacob and R. G. Sachs, Phys. Rev. 121, 350 (1961)
V. A. Alessandrini, D. Amati, and E. J. Squires, Phys. Letters 27B, 463 (1968)
N. Barash-Schmidt, A. Barbaro-Galtieri, L. R. Price, A. H. Rosenfeld, P. Söding, G. Wohl, and M. Roos, CERN Report, 1968 (unpublished)
W. N. Cottingham, Ann. Phys. (N. Y.) 25, 424 (1963) M. Cini, E. Ferrari, and R. Gatto, Phys. Rev. Letters 2, 7 (1959)
S. Okubo, Phys. Rev. Letters 18, 256 (1967) Y. C. Liu and S. Okubo, Nuovo Cimento 52A, 1186 (1967) G. Segrè, Phys. Rev. Letters 20, 29 (1968) Y. Srivastava, 20, 232 (1968)
K. Miura and T. Watanabe, Tokyo University of Education Report, 1968 (unpublished) R. Rockmore (private communication)
Y. Hara, Tokyo University of Education Report, 1968 (unpublished)
S. Gasiorowicz, Elementary Particle Physics (Wiley-Interscience, Inc., New York, 1966)
J. R. Dunning, Jr., K. W. Chen, A. A. Cone, G. Hartwig, N. F. Ramsey, J. K. Walker, and R. Wilson, Phys. Rev. 141, 1286 (1966) W. K. H. Panofsky, in Proceedings of the Heidelberg Conference (North-Holland Publishing Co., Amsterdam, 1968)
T. Muta, University of Sussex Report, 1968 (unpublished) R. Rockmore, Rutgers University Report, 1968 (unpublished)
M. Suzuki, Phys. Rev. 173, 1473 (1968)
J. S. Ball and F. Zachariasen, Phys. Rev. 177, 2264 (1969)
G. Höhler, G. Ebel, and J. Giesecke, Z. Physik. 180, 430 (1964) K. J. Foley et al., Phys. Rev. Letters 19, 193 (1967) ibid.19, 330 (1967)

[c1] Y. C. Liu and S. Okubo, Phys. Rev. Letters 19, 190 (1967) Phys. Rev. 168, 1712 (1968)

[c2] M. G. Olsson, Phys. Letters 26B, 319 (1967) ibid.19, 550 (1967)

[c3] K. V. Vasavada and K. Raman, Phys. Rev. Letters 21, 577 (1968) P. D. Vecchia, F. Drago, C. Ferro-Fontain, R. Odorico, and M. L. Paciello, Phys. Letters 27B, 296 (1968)

[c4] V. Barger and M. Olsson, Phys. Rev. 151, 1123 (1966) V. Barger and D. Cline, 155, 1792 (1967)

[c5] R. Dolen, D. Horn, and C. Schmid, Phys. Rev. Letters 19, 402 (1967) Phys. Rev. 166, 1768 (1968) C. Schmid, Phys. Rev. Letters 20, 689 (1968)

[c6] C. B. Chiu and A. V. Stirling, Nuovo Cimento 57A, 805 (1968)

[c7] Y. Kosaka, O. Miyamura, F. Takagi, and K. Itabashi, Tohoku University Report, 1968 (unpublished)

[c8] K. Igi and S. Matsuda, Phys. Rev. Letters 18, 625 (1967) ibid.19, 928 (1967)

[c9] G. Veneziano, Nuovo Cimento 57A, 190 (1968)

[c10] K. Igi, Phys. Letters 28B, 330 (1968)

[c11] H. Harari, Phys. Rev. Letters 17, 1303 (1966)

[c12] K. Nishijima, Fundamental Particles (W. A. Benjamin, Inc., New York, 1963)

[c13] R. Jacob and R. G. Sachs, Phys. Rev. 121, 350 (1961)

[c14] V. A. Alessandrini, D. Amati, and E. J. Squires, Phys. Letters 27B, 463 (1968)

[c15] N. Barash-Schmidt, A. Barbaro-Galtieri, L. R. Price, A. H. Rosenfeld, P. Söding, G. Wohl, and M. Roos, CERN Report, 1968 (unpublished)

[c16] W. N. Cottingham, Ann. Phys. (N. Y.) 25, 424 (1963) M. Cini, E. Ferrari, and R. Gatto, Phys. Rev. Letters 2, 7 (1959)

[c17] S. Okubo, Phys. Rev. Letters 18, 256 (1967) Y. C. Liu and S. Okubo, Nuovo Cimento 52A, 1186 (1967) G. Segrè, Phys. Rev. Letters 20, 29 (1968) Y. Srivastava, 20, 232 (1968)

[c18] K. Miura and T. Watanabe, Tokyo University of Education Report, 1968 (unpublished) R. Rockmore (private communication)

[c19] Y. Hara, Tokyo University of Education Report, 1968 (unpublished)

[c20] S. Gasiorowicz, Elementary Particle Physics (Wiley-Interscience, Inc., New York, 1966)

[c21] J. R. Dunning, Jr., K. W. Chen, A. A. Cone, G. Hartwig, N. F. Ramsey, J. K. Walker, and R. Wilson, Phys. Rev. 141, 1286 (1966) W. K. H. Panofsky, in Proceedings of the Heidelberg Conference (North-Holland Publishing Co., Amsterdam, 1968)

[c22] T. Muta, University of Sussex Report, 1968 (unpublished) R. Rockmore, Rutgers University Report, 1968 (unpublished)

[c23] M. Suzuki, Phys. Rev. 173, 1473 (1968)

[c24] J. S. Ball and F. Zachariasen, Phys. Rev. 177, 2264 (1969)

[c25] G. Höhler, G. Ebel, and J. Giesecke, Z. Physik. 180, 430 (1964) K. J. Foley et al., Phys. Rev. Letters 19, 193 (1967) ibid.19, 330 (1967)

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Dispersion Sum Rules, Interference Model, Duality, and the $p - n$ Mass Difference

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Dispersion Sum Rules, Interference Model, Duality, and the p−n Mass Difference

Abstract

References (25)

Dispersion Sum Rules, Interference Model, Duality, and the $p - n$ Mass Difference