Decuplet baryon magnetic moments in a QCD-based quark model beyond the quenched approximation

Phuoc Ha

doi:10.1103/PhysRevD.58.113003

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Decuplet baryon magnetic moments in a QCD-based quark model beyond the quenched approximation

Phuoc Ha^*

Department of Physics, University of Wisconsin-Madison, Madison, Wisconsin 53706

^*Electronic address: phuoc@theory1.physics.wisc.edu

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Phys. Rev. D 58, 113003 – Published 28 October, 1998

DOI: https://doi.org/10.1103/PhysRevD.58.113003

Abstract

We study the decuplet baryon magnetic moments in a QCD-based quark model beyond the quenched approximation. Our approach for unquenching the theory is based on heavy baryon perturbation theory in which the axial couplings for baryon-meson and the meson-meson-photon couplings from chiral perturbation theory are used together with the quark model moment couplings. It also involves the introduction of a form factor characterizing the structure of baryons considered as composite particles. Using the parameters obtained from fitting the octet baryon magnetic moments, we predict the decuplet baryon magnetic moments. The $Ω^{-}$ magnetic moment is found to be in good agreement with experiment: $μ_{Ω^{-}}$ is predicted to be $- 1.97 μ_{N}$ compared to the experimental result of $(-$ 2.02 $\pm$ 0.05) $μ_{N} .$

References (9)

L. Durand and P. Ha, Proceedings of the Como Conference on Quark Confinement and Hadron Spectrum II, edited by N. Brambilla and G.M. Prosperi (World Scientific, Singapore, 1996); hep-ph/9609495.
P. Ha and L. Durand, Phys. Rev. D (to be published), hep-ph/9804382.
E. Jenkins, M. Luke, A. V. Manohar, and M. J. Savage, Phys Lett. B 302, 482 (1993); ibid.388, 866(E) (1996).
J. Dai, R. Dashen, E. Jenkins, and A. V. Manohar, Phys. Rev. D 53, 273 (1996).
Ulf-G. Meißner and S. Steininger, Nucl. Phys. B499, 349 (1997).
J. W. Bos, D. Chang, S. C. Lee, Y. C. Lin, and H. H. Shih, Chin. J. Phys. (Taipei) 35, 150 (1997).
L. Durand and P. Ha, Phys. Rev. D 58, 013010 (1998).
H. Georgi, Phys. Lett. B 240, 447 (1990); ibid.E. Jenkins and A. V. Manohar, 255, 558 (1991); Report No. UCSD/PTH 91-30.
M. N. Butler, M. J. Savage, and R. P. Springer, Phys. Rev. D 49, 3459 (1994); ibid.B399, 69 (1993).

[c1] L. Durand and P. Ha, Proceedings of the Como Conference on Quark Confinement and Hadron Spectrum II, edited by N. Brambilla and G.M. Prosperi (World Scientific, Singapore, 1996); hep-ph/9609495.

[c2] P. Ha and L. Durand, Phys. Rev. D (to be published), hep-ph/9804382.

[c3] E. Jenkins, M. Luke, A. V. Manohar, and M. J. Savage, Phys Lett. B 302, 482 (1993); ibid.388, 866(E) (1996).

[c4] J. Dai, R. Dashen, E. Jenkins, and A. V. Manohar, Phys. Rev. D 53, 273 (1996).

[c5] Ulf-G. Meißner and S. Steininger, Nucl. Phys. B499, 349 (1997).

[c6] J. W. Bos, D. Chang, S. C. Lee, Y. C. Lin, and H. H. Shih, Chin. J. Phys. (Taipei) 35, 150 (1997).

[c7] L. Durand and P. Ha, Phys. Rev. D 58, 013010 (1998).

[c8] H. Georgi, Phys. Lett. B 240, 447 (1990); ibid.E. Jenkins and A. V. Manohar, 255, 558 (1991); Report No. UCSD/PTH 91-30.

[c9] M. N. Butler, M. J. Savage, and R. P. Springer, Phys. Rev. D 49, 3459 (1994); ibid.B399, 69 (1993).

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Decuplet baryon magnetic moments in a QCD-based quark model beyond the quenched approximation

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