Abstract.
We show that the static properties of a nucleus could arise from a single quark moving in a mean field generated by all other constituents of this nucleus. The resulting model provides a way for determining the nuclear sizes characteristic of the liquid-drop model, and reasonably accurate values of magnetic moments of different nuclei with the aid of two parameters \( \alpha_s\) and \( \sigma\) appearing in the Cornell potential intended for use in quarkonium physics.
Similar content being viewed by others
References
K. Bleuler et al., Z. Naturforsch. 38a, 705 (1983)
H.R. Petry et al., Phys. Lett. B 159, 363 (1985)
A. Arima, K. Yazaki, H. Bohr, Phys. Lett. B 183, 131 (1987)
I. Talmi, Phys. Lett. B 205, 140 (1988)
F.E. Close, An Introduction to Quarks and Partons (Academic, New York, 1979)
K. Maltman, G.J. Stephenson jr., T. Goldman, Phys. Lett. B 324, 1 (1994)
B.P. Kosyakov, E.Yu. Popov, M.A. Vronskiı, Phys. Lett. B 744, 28 (2015)
J.D. Walecka, Theoretical Nuclear and Subnuclear Physics, 2nd edition (World Scientific, Singapore, 2004) chapt. 5
L.L. Foldy, S.A. Wouthuysen, Phys. Rev. 78, 29 (1950)
K.M. Case, Phys. Rev. 95, 1323 (1954)
R.P.M. Romero, M. Moreno, A. Zentella, Phys. Rev. D 43, 2036 (1991)
J.N. Ginocchio, Phys. Rep. 414, 165 (2005)
H. Liang, J. Meng, S.-G. Zhou, Phys. Rep. 570, 1 (2015) arXiv:1411.6774
E. Eichten et al., Phys. Rev. Lett. 34, 369 (1975)
P.R. Page, T. Goldman, J.N. Ginocchio, Phys. Rev. Lett. 86, 204 (2001) arXiv:hep-ph/0002094
E. Eichten et al., Phys. Rev. D 21, 203 (1980)
T. Barnes, S. Godfrey, E.S. Swanson, Phys. Rev. D 72, 054026 (2005) arXiv:hep-ph/0505002
Particle Data Group (K.A. Olive et al.), Chin. Phys. C 38, 090001 (2014)
J.N. Ginocchio, Phys. Rev. Lett. 78, 436 (1997) arXiv:nucl-th/9611044
J. Dittrich, P. Exner, J. Math. Phys. 26, 2000 (1985)
J.N. Ginocchio, Phys. Rev. C 59, 2487 (1999) arXiv:nucl-th/9812025
P. Bicudo, E. Ribeiro, R. Fernandes, Phys. Rev. C 59, 1107 (1999) arXiv:hep-ph/9806243
M. Mekhfi, Phys. Rev. D 72, 114014 (2005) arXiv:hep-ph/0510059
G.H. Fuller, J. Phys. Chem. Ref. Data 5, 835 (1976)
W. Park, A. Park, S.H. Lee, Phys. Rev. D 92, 014037 (2015) arXiv:1506.01123 [nucl-th]
Author information
Authors and Affiliations
Corresponding author
Additional information
Communicated by R. Alkofer
Rights and permissions
About this article
Cite this article
Kosyakov, B.P., Popov, E.Y. & Vronskiĭ, M.A. Could the static properties of nuclei be deduced from the dynamics of a single quark?. Eur. Phys. J. A 53, 82 (2017). https://doi.org/10.1140/epja/i2017-12275-8
Received:
Accepted:
Published:
DOI: https://doi.org/10.1140/epja/i2017-12275-8