Electromagnetic <span class="aps-inline-formula"><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><mi>N</mi><mo>→</mo><mrow><msup><mrow><mi>N</mi></mrow><mrow><mo>*</mo></mrow></msup></mrow><mn></mn><mo>(</mo><mn>1535</mn><mo>)</mo><mn></mn></math></span> transition in the relativistic constituent-quark model

W. Konen; H. J. Weber

doi:10.1103/PhysRevD.41.2201

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Electromagnetic $N \to N^{*} (1535)$ transition in the relativistic constituent-quark model

W. Konen

H. J. Weber

Institut für Kernphysik, Johannes Gutenberg-Universität Mainz, 6500 Mainz, Federal Republic of Germany

Institute of Nuclear and Particle Physics, University of Virginia, Charlottesville, Virginia 22901

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Phys. Rev. D 41, 2201 – Published 1 April, 1990

DOI: https://doi.org/10.1103/PhysRevD.41.2201

Abstract

We study a light-cone model of the nucleon and the $S_{11} (1535)$ resonance which provides a relativistic generalization of the constituent-quark model in the nonperturbative low- $Q^{2}$ regime. The two parameters of the model, namely, the size parameter $α$ and the constituent-quark mass $m_{q} \approx 300$ MeV, are fixed by the axial form factor. We find good agreement for the electromagnetic form factors of the nucleon up to $Q^{2} \approx 1 - 2$ Ge $V^{2}$ . All static properties of the nucleon, except for the neutron charge radius, are reproduced within 10%. In addition, we show that the electromagnetic current of the nucleon is conserved. The $S_{11} (1535)$ transition amplitudes, where gauge invariance is achieved by including a three-body current, are calculated from a constraint-free form-factor set. They are in reasonable agreement with the available photo- and electroproduction data.

References (43)

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[35], p. 109

[c1] M. A. Shifman, A. I. Vainstein, and V. I. Zakharov, Nucl. Phys. B147, 385 (1979) ibid.B147, 448 (1979) ibid.B147, 519 (1979) E. V. Skuryak, Phys. Rep. 115, 152 (1984) B. L. Ioffe, Nucl. Phys. B188, 317 (1981)

[c2] C. D. Roberts, R. T. Cahill, and J. Praschifka, Ann. Phys. (N.Y.) 188, 20 (1988)

[c3] A. De Rújula, H. Georgi, and S. L. Glashow, Phys. Rev. D 12, 147 (1975)

[c4] V. L. Chernyak and A. R. Zhitnitsky, Nucl. Phys. B201, 492 (1982) Phys. Rep. 112, 173 (1984) V. L. Chernyak, A. R. Zhitnitsky, and I. R. Zhitnitsky, Nucl. Phys. B204, 477 (1982) ibid.B246, 52 (1984)

[c5] R. A. Krajcik and L. L. Foldy, Phys. Rev. D 12, 1700 (1975)

[c6] M. Warns, H. Schröder, W. Pfeil, and H. Rollnik, University of Bonn Report No. BONN-ME-89-03-04, 1989 (unpublished)

[c7] P. A. M. Dirac, Rev. Mod. Phys. 21, 392 (1949)

[c8] L. Frankfurt and M. Strikman, Phys. Rep. 76, 215 (1981) G. P. Lepage and S. J. Brodsky, Phys. Rev. D 22, 2157 (1980)

[c9] J. M. Namyslowski, Prog. Part. Nucl. Phys. 14, 49 (1984)

[c10] H. Leutwyler and A. Stern, Ann. Phys. (N.Y.) 112, 94 (1978)

[c11] Z. Dziembowski, Phys. Rev. D 37, 778 (1988)

[c12] Z. Dziembowski, H. J. Weber, L. Mankiewicz, and A. Szczepaniak, Phys. Rev. D 39, 3257 (1989)

[c13] J. D. Bjorken and S. D. Drell, Relativistic Quantum Mechanics (McGraw-Hill, New York, 1964)

[c14] Z. Dziembowski, Phys. Rev. D 37, 768 (1988)

[c15] S. Weinberg, Phys. Rev. 150, 1313 (1966) [9], p. 88

[c16] H. J. Weber, Ann. Phys. (N.Y.) 177, 38 (1987)

[c17] Z. Dziembowski and H. J. Weber, Phys. Rev. D 37, 1289 (1988)

[c18] A. B. Henriques, B. H. Kellett, and R. G. Moorhouse, Ann. Phys. (N.Y.) 93, 125 (1975)

[c19] J. Franklin, Phys. Rev. 172, 1807 (1968) W. B. Rolnick, Phys. Rev. D 25, 2439 (1982) ibid.26, 1804 (1982)

[c20] L. A. Kondratyuk and M. V. Terent'ev, Yad. Fiz. 31, 1087 (1980) [Sov. J. Nucl. Phys. 31, 561 (1980)] H. J. Melosh, Phys. Rev. D 9, 1095 (1974)

[c21] J. Bienkowska, Z. Dziembowski, and H. J. Weber, Phys. Rev. Lett. 59, 624 (1987)

[c22] S. J. Brodsky and S. D. Drell, Phys. Rev. D 22, 2236 (1980)

[c23] S. D. Drell and T. M. Yan, Phys. Rev. Lett. 24, 181 (1970)

[c24] R. C. E. Devenish, T. S. Eisenschitz, and J. G. Körner, Phys. Rev. D 14, 3063 (1976)

[c25] Particle Data Group, Rev. Mod. Phys. 52, 1 (1980)

[c26] J. Cohen and H. J. Weber, Phys. Lett. 165B, 229 (1985)

[c27] R. Tegen and W. Weise, Z. Phys. A 314, 357 (1983)

[c28] L. A. Ahrens et al., Phys. Lett. B 202, 284 (1988)

[c29] Particle Data Group, Phys. Lett. 111B, 1 (1982)

[c30] M. Betz and R. Goldflam, Phys. Rev. D 28, 2848 (1983)

[c31] G. G. Simon, F. Borkowski, Ch. Schmitt, and V. Walther, Z. Naturforsch. A 35, 1 (1980)

[c32] H. J. Weber, Z. Phys. A 297, 261 (1980)

[c33] D. Krupa et al., J. Phys. G 10, 455 (1984)

[c34] G. Höhler et al., Nucl. Phys. B114, 505 (1976)

[c35] F. E. Close, An Introduction to Quarks and Partons (Academic, New York, 1979)

[c36] I. Arai and H. Fujii, Nucl. Phys. B194, 251 (1982)

[c37] N. Awaji et al., in Lepton and Photon Interactions at High Energies, proceedings of the 10th International Symposium, Bonn, Germany, 1981, edited by W. Pfeil (Physics Institute, Bonn University, Bonn, 1981)

[c38] R. L. Crawford and W. T. Marton, Nucl. Phys. B211, 1 (1983)

[c39] F. Foster and G. Hughes, Rep. Prog. Phys. 46, 1445 (1983)

[c40] B. Boden and G. Krösen, in Proceeding of the Continuous Electron Beam Accelerator Facility (CEBAF) Summer Workshop, Newport News, Virgina, 1986, edited by V. Burkert (CEBAF, Newport News, 1987), Vol II

[c41] Ch. Gerhardt, Z. Phys. C 4, 311 (1980)

[c42] N. Isgur, G. Karl, and D. W. L. Sprung, Phys. Rev. D 23, 163 (1981)

[c43] [35], p. 109

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Electromagnetic $N \to N^{*} (1535)$ transition in the relativistic constituent-quark model

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Electromagnetic N→N*(1535) transition in the relativistic constituent-quark model

Abstract

References (43)

Electromagnetic $N \to N^{*} (1535)$ transition in the relativistic constituent-quark model