Nucleon form factors and static properties of baryons in a quark model

N. Barik; S. N. Jena; D. P. Rath

doi:10.1103/PhysRevD.41.1568

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Nucleon form factors and static properties of baryons in a quark model

N. Barik

S. N. Jena

D. P. Rath

Department of Physics, Utkal University, Bhubaneswar 751004, Orissa, India

Department of Physics, Berhampur University, Berhampur 760007, Orissa, India

Department of Physics, Aska Science College, Aska 761110, Orissa, India

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Phys. Rev. D 41, 1568 – Published 1 March, 1990

DOI: https://doi.org/10.1103/PhysRevD.41.1568

Abstract

The nucleon electromagnetic form factors $G_{E}^{p} (q^{2})$ , $G_{M}^{p} (q^{2})$ , $G_{M}^{n} (q^{2})$ , and the axial-vector form factor $G_{A} (q^{2})$ are calculated in a simple independent-quark model based on the Dirac equation with a logarithmic confining potential of the form $V^{'} (r) = (1 + γ^{0}) a \ln (\frac{r}{b})$ . The respective rms radii associated with $G_{E}^{p} (q^{2})$ and $G_{A} (q^{2})$ come out as ${({〈 r^{2} 〉}_{E}^{P})}^{\frac{1}{2}} = 0.938$ fm and ${〈 r_{A}^{2} 〉}^{\frac{1}{2}} = 0.953$ fm. The magnetic moments, charge radii, and axial-vector coupling-constant ratios for octet baryons are also calculated with the appropriate center-of-mass correction. The results so obtained are quite comparable to experimental data.

References (21)

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[c1] A. W. Thomas, S. Théberge, and G. A. Miller, Phys. Rev. D 24, 216 (1981) S. Théberge and A. W. Thomas, ibid. 25, 284 (1982) A. W. Thomas, Adv. Nucl. Phys. 13, 1 (1983) G. A. Miller, in International Review of Nuclear Physics, edited by W. Weise (World Scientific, Singapore, 1984), Vol. 1

[c2] R. Tegen, R. Brockmann, and W. Weise, Z. Phys. A 307, 339 (1982) R. Tegen and W. Weise, ibid. 314, 357 (1983) E. Oset, R. Tegen, and W. Weise, Nucl. Phys. A426, 456 (1984)

[c3] P. Leal Ferreira, Lett. Nuovo Cimento 20, 157 (1977) A. P. Kobuskin, Report No. ITP-76-58E, Kiev (unpublished)

[c4] P. Leal Ferreira and N. Zagury, Lett. Nuovo Cimento 20, 511 (1977) P. Leal Ferreira, J. A. Helayel, and N. Zagury, Nuovo Cimento A55, 215 (1980) N. Barik, B. K. Dash, and M. Das, Phys. Rev. D 31, 1652 (1985) N. Barik and B. K. Dash, ibid. 33, 1925 (1986)

[c5] E. Magyari, Phys. Lett. 95B, 295 (1980) C. Quigg and J. L. Rosner, ibid. 71B, 153 (1977) Phys. Rep. 56, 167 (1979)

[c6] S. N. Jena and D. P. Rath, Phys. Rev. D 34, 196 (1986) Pramana 32, 753 (1989)

[c7] A. Martin, Phys. Lett. 93B, 338 (1980) ibid.100B, 511 (1981) N. Barik and S. N. Jena, ibid. 97B, 265 (1980) ibid.97B, 761 (1980) Phys. Rev. D 26, 618 (1982) N. Barik and M. Das, Phys. Lett. 120B, 403 (1983) Phys. Rev. D 28, 2823 (1983)

[c8] S. N. Jena and D. P. Rath, Pramana 32, 753 (1989)

[c9] E. J. Ernst, R. G. Sachs, and K. C. Wali, Phys. Rev. 119, 1105 (1960)

[c10] J. Bartelski, A. Szymacha, L. Mankiewicz, and S. Tatur, Phys. Rev. D 29, 1035 (1984)

[c11] E. Eich, D. Rein, and R. Rodenberg, Z. Phys. C 28, 225 (1985)

[c12] H. G. Dosch and V. F. Miller, Nucl. Phys. B116, 470 (1976)

[c13] N. Barik and S. N. Jena, Phys. Rev. D 26, 2420 (1982)

[c14] G. Hohler et al., Nucl. Phys. B114, 505 (1976)

[c15] E. Golowich, Phys. Rev. D 12, 2108 (1975)

[c16] R. Tegen et al., Z. Phys. A 307, 339 (1982)

[c17] E. Amaldi, S. Fubini, and G. Furlan, in Electroproduction at Low Energy and Hadron Form Factors, edited by G. Hohler (Springer Tracts in Modern Physics, Vol. 83) (Springer, Berlin, 1979)

[c18] A. Chodos et al., Phys. Rev. D 9, 3471 (1974) ibid.10, 2599 (1974) T. A. DeGrand et al., ibid. 12, 2060 (1975) J. F. Donoghue and K. Johnson, ibid. 21, 1975 (1980)

[c19] J. J. J. Kokkedee, The Quark Model (Benjamin, New York, 1969), p. 53

[c20] N. Barik and B. K. Dash, Phys. Rev. D 33, 1925 (1986)

[c21] Particle Data Group, Phys. Lett. 170B, 11 (1986)

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Nucleon form factors and static properties of baryons in a quark model

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