Abstract
The baryon number one soliton of the NJL model is investigated. The Euclidian effective action is regularized using Schwinger’s proper time method. Numerical results for the static soliton energy are presented for the cases without and with vector and axialvector fields. It is found that the baryon number is carried by the polarized Dirac sea of the quarks if the a l meson is included in contrast to the case without a l where the baryon number resides on valence quarks. Thus the model strongly supports the picture of the baryon as a topological soliton of the meson fields. Including the ω vector meson leads to a non-vanishing imaginary part of the Euclidian effective action even for static solitons. Finally, the self-consistent two-flavor chiral soliton is embedded in the SU(3) flavor group and collectively quantized. The predicted mass splittings for the low-lying baryons with different hypercharge are in excellent agreement with the experimental data if the physical value for the kaon decay constant is substituted.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
References
G. ‘t Hooft, Nucl. Phys. B72 (1974) 461;
E. Witten, Nucl. Phys. B160 (1979) 57.
Y. Nambu and G. Jona-Lasinio, Phys. Rev. 122 (1961) 345; 124 (1961) 246.
D. Ebert and H. Reinhardt,Nucl. Phys. B271 (1986) 188.
M. Schaden, H. Reinhardt, P. A. Amundsen and M. J. Lavelle, Nucl. Phys. B339 (1990) 595; R. Alkofer and H. R.inhardt, Z. Phys. A343 (1992) 79.
H. Reinhardt and R. Alkofer, Phys. Lett. 207B (1988) 482; R. Alkofer and H. Reinhardt, Z. Phys. C45 (1989) 245.
V. Bernard, R. L. Jaffe and Ulf-G. Meißner, Nucl. Phys. B308 (1988) 753. V. Bernard, Ulf-G. Meißner, A. H. Blin and B. Hiller, Phys. Lett. B253 (1991) 443.
S. Klimt, M. Lutz, U. Vogl and W. Weise, Nucl. Phys. A516 (1990) 429.
I. Aitchinson, C. Frazer, E. Tador and J. Zuk,Phys. Lett. B165 (1985) 163.
H. Reinhardt and D. Ebert, Phys. Lett. B215 (1986) 459.
H. Reinhardt and R. Wünsch, Phys. Lett. B215 (1988) 577.
T. Meissner, F. Grammer and K. Goeke, Phys. Lett. B227 (1989) 296.
R. Alkofer, Phys. Lett. B236 (1990) 310.
R. Alkofer and H. Reinhardt, Phys. Lett. B244 (1991) 461.
R. Alkofer, H. Reinhardt, H. Weigel and U. Zückert, Phys. Rev. Lett. 69 (1992) 1874.
C. Schüren, E. Ruiz-Arriola and K. Goeke, Phys. Lett. B287 (1992) 283.
R. Alkofer, H. Reinhardt, H. Weigel and U. Zuckert, “The isoscalar vector meson w in the Nambu-Jona-Lasinio soliton”, Tübingen preprint August 1992; Phys. Lett. B, in press.
H. Reinhardt, Nucl. Phys. A503 (1989) 825.
K. Goeke et al., Phys. Lett. B256 (1991) 321.
M. Wakamatsu and H. Yoshiki, Nucl. Phys. A524 (1991) 561.
H. Yabu and K. Ando, Nucl. Phys. B301 (1988) 601.
H. Weigel, R. Alkofer and H. Reinhardt, Phys. Lett. B284 (1992) 296.
A. Blotz et al., Phys. Lett. B287 (1992) 29.
H. Weigel, R. Alkofer and H. Reinhardt, “Strange Baryons as Chiral Solitons of the Nambu-Jona-Lasinio model”, Nucl. Phys. B, in press.
J. Schwinger, Phys. Rev. 82 (1951) 664.
Ulf.-G. Meißner, N. Kaiser and W. Weise, Nucl. Phys. A466 (1987) 685.
G. Eckart, A. Hayashi and G. Holzwarth, Nucl. Phys. A448 (1986) 732;
B. Schwesinger, H. Weigel, G. Holzwarth and A. Hayashi, Phys. Rep. 173 (1989) 173.
J. Schechter and H. Weigel, Phys. Lett. B261 (1991) 235; Phys. Rev. D44 (1991) 2916.
B. Schwesinger, H. Weigel, Phys. Lett. B267 (1991) 438; Nucl. Phys. A540 (1992) 461.
N. W. Park and H. Weigel, Phys. Lett. B268 (1991) 155; Nucl. Phys. A541 (1992) 453.
H. Weigel, J. Schechter N. W. Park and Ulf-G. Meißner, Phys. Rev. D43 (1991) 869.
G. Pari, B. Schwesinger and H. Walliser, Phys. Lett. B255 (1991) 1.
I. Zahed, A. Wirzba and Ulf-G. Meißner, Phys. Rev. D33 (1986) 830; A. Dobado and J. Terron, Phys. Lett. B247 (1990) 581.
B. Moussallam and D. Kalafatis, Phys. Lett. B272 (1991) 196.
G. Holzwarth, “Quantum corrections to Nucleon and Delta mass in the Skyrme model”, Siegen University preprint 1992.
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 1994 Springer Science+Business Media New York
About this chapter
Cite this chapter
Weigel, H. (1994). Highlights of the NJL Chiral Soliton. In: Goeke, K., Hwang, WY.P., Speth, J. (eds) Contemporary Topics in Medium Energy Physics. Springer, Boston, MA. https://doi.org/10.1007/978-1-4757-9835-7_8
Download citation
DOI: https://doi.org/10.1007/978-1-4757-9835-7_8
Publisher Name: Springer, Boston, MA
Print ISBN: 978-1-4757-9837-1
Online ISBN: 978-1-4757-9835-7
eBook Packages: Springer Book Archive