Chiral bag models and the <span class="aps-inline-formula"><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><mi>π</mi><mi>N</mi><mo>→</mo><mi>π</mi><mi>π</mi><mi>N</mi></math></span> reaction

G. Kälbermann; J. M. Eisenberg

doi:10.1103/PhysRevD.28.66

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Chiral bag models and the $π N \to π π N$ reaction

G. Kälbermann and J. M. Eisenberg

Department of Physics and Astronomy, Tel Aviv University, Tel Aviv 69978, Israel

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Phys. Rev. D 28, 66 – Published 1 July, 1983

DOI: https://doi.org/10.1103/PhysRevD.28.66

Abstract

We explore alternative formulations of bag models preserving chiral symmetry, in which the pion is treated as a separate local field that is allowed to penetrate into the bag interior. Particular emphasis is placed on the cubic terms in the pion field. These are essential for a description of the process $π N \to π π N$ . We find that the phenomenology of that reaction indicates a clear preference amongst various possible formulations of chiral bag models with pion penetration of the bag.

References (16)

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[c1] A. Chodos, R. L. Jaffe, K. Johnson, C. B. Thorn, and V. F. Weisskopf, Phys. Rev. D 9, 3471 (1974)

[c2] T. A. De Grand, R. L. Jaffe, K. Johnson, and I. Kiskis, Phys. Rev. D 12, 2060 (1975)

[c3] A. Chodos and C. B. Thorn, Phys. Rev. D 12, 2733 (1975)

[c4] R. L. Jaffe, in Pointlike Structure Inside and Outside Hadrons, proceedings of the Seventeenth International School of Subnuclear Physics, Erice, Italy, edited by A. Zichichi (Plenum, New York, 1982)

[c5] S. Théberge, A. W. Thomas, and G. A. Miller, Phys. Rev. D 22, 2838 (1980) ibid.23, 2106(E) (1981)

[c6] C. E. De Tar, Phys. Rev. D 24, 752 (1981) ibid.24, 762(E) (1981)

[c7] V. M. Vento, M. Rho, E. M. Nyman, J. H. Jun, and G. E. Brown, Nucl. Phys. A345, 413 (1980)

[c8] A. W. Thomas, J. Phys. G 7, L283 (1981) Adv. Nucl. Phys. (unpublished)

[c9] S. Adler and R. Dashen, Current Algebra (Benjamin, New York, 1968)

[c10] M. Gell-Mann and M. Levy, Nuovo Cimento 16, 705 (1960)

[c11] S. Weinberg, Phys. Rev. Lett. 18, 188 (1967)

[c12] V. Vento, G. Baym, and A. D. Jackson, Phys. Lett. 102B, 97 (1981)

[c13] M. G. Olsson and L. Turner, Phys. Rev. Lett. 20, 1127 (1968)

[c14] C. W. Bjork et al., Phys. Rev. Lett. 44, 62 (1980)

[c15] R. Aaron et al., Phys. Rev. Lett. 44, 66 (1980)

[c16] L. R. Dodd, A. W. Thomas, and R. F. Alvarez-Estrada, Phys. Rev. D 24, 1961 (1981)

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Chiral bag models and the $π N \to π π N$ reaction

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Chiral bag models and the πN→ππN reaction

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References (16)

Chiral bag models and the $π N \to π π N$ reaction