Flavor-mixing structure functions in the Nambu-Jona-Lasinio model

C. L. Korpa; Ulf -G. Meissner

doi:10.1103/PhysRevD.41.1679

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Flavor-mixing structure functions in the Nambu-Jona-Lasinio model

C. L. Korpa

Ulf -G. Meissner

Istituto Nazionale di Fisica Nucleare Sezione di Roma, I-00185 Roma, Italy
Physics Department, Oregon State University, Corvallis, Oregon 97331

Center for Theoretical Physics, Laboratory for Nuclear Science and Department of Physics, Massachusetts Institute of Technology, Cambridge, Massachusetts 02139

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Phys. Rev. D 41, 1679 – Published 1 March, 1990

DOI: https://doi.org/10.1103/PhysRevD.41.1679

Abstract

The distribution of the strange quarks in the constituent light (up or down) quark, as seen in deep-inelastic scattering, is calculated for first nonvanishing order in the generalized Nambu-Jona-Lasinio model. Using a previous fit to determine the parameters of the model, the result is compared to experimental bounds on the momentum carried by strange quarks and antiquarks in the nucleon. No violation of experimental bounds is obtained.

References (25)

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R. L. Jaffe and C. L. Korpa, Comments Nucl. Part. Phys. 17, 163 (1987)
V. Bernard, R. L. Jaffe, and U.-G. Meissner, Phys. Lett. B 198, 92 (1987)
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J. A. M. McGovern and M. C. Birse, Phys. Lett. B 209, 163 (1988)
T. Hatsuda, Phys. Lett. B 213, 361 (1988)
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Riazuddin and Fayyazuddin, Phys. Rev. D 38, 944 (1988)
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M. A. Nowak, J. J. M. Verbaarschot, and I. Zahed, Phys. Lett. B 217, 157 (1988)
H. Yabu, Phys. Lett. B 218, 125 (1989)
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[c1] J. F. Donoghue and C. R. Nappi, Phys. Lett. 168B, 105 (1986)

[c2] R. L. Jaffe and C. L. Korpa, Comments Nucl. Part. Phys. 17, 163 (1987)

[c3] V. Bernard, R. L. Jaffe, and U.-G. Meissner, Phys. Lett. B 198, 92 (1987)

[c4] J.-P. Blaizot, M. Rho, and N. N. Scoccola, Phys. Lett. B 209, 27 (1988)

[c5] J. A. M. McGovern and M. C. Birse, Phys. Lett. B 209, 163 (1988)

[c6] T. Hatsuda, Phys. Lett. B 213, 361 (1988)

[c7] D. B. Kaplan and A. Manohar, Nucl. Phys. B310, 527 (1988)

[c8] Riazuddin and Fayyazuddin, Phys. Rev. D 38, 944 (1988)

[c9] V. Bernard and U.-G. Meissner, Phys. Lett. B 216, 392 (1988)

[c10] M. A. Nowak, J. J. M. Verbaarschot, and I. Zahed, Phys. Lett. B 217, 157 (1988)

[c11] H. Yabu, Phys. Lett. B 218, 125 (1989)

[c12] R. L. Jaffe, Phys. Rev. D 21, 3215 (1980) J. Gasser, Ann. Phys. (N.Y.) 136, 62 (1981)

[c13] D. B. Kaplan and A. E. Nelson, Phys. Lett. B 175, 57 (1986)

[c14] G. E. Brown, K. Kubodera, and M. Rho, Phys. Lett. B 192, 273 (1987)

[c15] R. L. Jaffe, Nucl. Phys. A478, 3c (1988)

[c16] H. Pagels, Phys. Rep. C16, 219 (1975) R. Koch, Z. Phys. C 15, 161 (1982) J. Gasser, H. Leutwyler, M. Sainio, and A. Svarc, Phys. Lett. B 213, 85 (1988)

[c17] Y. Nambu and G. Jona-Lasinio, Phys. Rev. 122, 345 (1961) ibid.124, 246 (1961)

[c18] V. Bernard, R. L. Jaffe, and U.-G. Meissner, Nucl. Phys. B308, 753 (1988)

[c19] P. V. Landshoff, J. C. Polkinghorne, and R. D. Short, Nucl. Phys. B28, 225 (1971)

[c20] J. Schwinger, Phys. Rev. 82, 664 (1951)

[c21] R. E. Cutkosky, J. Math. Phys. 1, 429 (1960)

[c22] V. Bernard (private communication) (in preparation)

[c23] E. Witten, Nucl. Phys. B104, 445 (1976) F. Sciulli, in Proceedings of the 1985 International Symposium on Lepton and Photon Interactions at High Energies, Kyoto, Japan, 1985, edited by M. Konuma and K. Takahashi (RIFP, Kyoto University, Kyoto, 1986)

[c24] G. Altarelli and G. Parisi, Nucl. Phys. B126, 298 (1977)

[c25] S. J. Brodsky and G. P. Lepage, Phys. Rev. D 22, 2157 (1980)

Physical Review D

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Flavor-mixing structure functions in the Nambu-Jona-Lasinio model

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