Abstract
The spin symmetry in the Dirac negative-energy spectrum and its origin are investigated for the first time within the density-dependent relativistic Hartree-Fock (DDRHF) theory. Taking the nucleus 16O as an example, the spin symmetry in the negative-energy spectrum is found to be a good approximation and the dominant components of the Dirac wave functions for the spin doublets are nearly identical. In comparison with the relativistic Hartree approximation where the origin of spin symmetry lies in the equality of the scalar and vector potentials, in DDRHF the cancellation between the Hartree and Fock terms is responsible for the better spin symmetry properties and determines the subtle spin-orbit splitting. These conclusions hold even in the case when significant deviations from the G -parity values of the meson-antinucleon couplings occur.
This is a preview of subscription content, log in via an institution to check access.
Similar content being viewed by others
References
B.D. Serot, J.D. Walecka, Adv. Nucl. Phys. 16, 1 (1986)
P. Ring, Prog. Part. Nucl. Phys. 37, 193 (1996)
D. Vretenar, A.V. Afanasjev, G.A. Lalazissis, P. Ring, Phys. Rep. 409, 101 (2005)
J. Meng, H. Toki, S.G. Zhou, S.Q. Zhang, W.H. Long, L.S. Geng, Prog. Part. Nucl. Phys. 57, 470 (2006)
A. Arima, M. Harvey, K. Shimizu, Phys. Lett. B 30, 517 (1969)
K. Hecht, A. Adler, Nucl. Phys. A 137, 129 (1969)
A. Bohr, I. Hamamoto, B.R. Mottelson, Phys. Scr. 26, 273 (1982)
C. Bahri, J.P. Draayer, S.A. Moszkowski, Phys. Rev. Lett. 68, 2133 (1992)
J.N. Ginocchio, Phys. Rep. 414, 165 (2005)
J. Meng, K. Sugawara-Tanabe, S. Yamaji, P. Ring, A. Arima, Phys. Rev. C 58, R628 (1998)
J. Meng, K. Sugawara-Tanabe, S. Yamaji, A. Arima, Phys. Rev. C 59, 154 (1999)
S. Marcos, L.N. Savushkin, M. López-Quelle, P. Ring, Phys. Rev. C 62, 054309 (2000)
S. Marcos, M. López-Quelle, R. Niembro, L.N. Savushkin, P. Bernardos, Phys. Lett. B 513, 30 (2001)
T.S. Chen, H.-F. Lü, J. Meng, S.Q. Zhang, S.-G. Zhou, Chin. Phys. Lett. 20, 358 (2003)
S.-G. Zhou, J. Meng, P. Ring, Phys. Rev. Lett. 91, 262501 (2003)
X.T. He, S.-G. Zhou, J. Meng, E.G. Zhao, W. Scheid, Eur. Phys. J. A 28, 265 (2006)
A. Bouyssy, S. Marcos, J.F. Mathiot, N. Van Giai, Phys. Rev. Lett. 55, 1731 (1985)
A. Bouyssy, J.F. Mathiot, N. Van Giai, S. Marcos, Phys. Rev. C 36, 380 (1987)
P. Bernardos et al., Phys. Rev. C 48, 2665 (1993)
S. Marcos, L.N. Savushkin, V.N. Fomenko, M. López-Quelle, R. Niembro, J. Phys. G: Nucl. Part. Phys. 30, 703 (2004)
W.H. Long, N. Van Giai, J. Meng, Phys. Lett. B 640, 150 (2006)
W.H. Long, H. Sagawa, J. Meng, N. Van Giai, EPL 82, 12001 (2008)
W.H. Long, H. Sagawa, N. Van Giai, J. Meng, Phys. Rev. C 76, 034314 (2007)
M. López-Quelle, L.N. Savushkin, S. Marcos, P. Bernardos, R. Niembro, Nucl. Phys. A 727, 269 (2003)
W.H. Long, H. Sagawa, J. Meng, N. Van Giai, Phys. Lett. B 639, 242 (2006)
A. Leviatan, J.N. Ginocchio, Phys. Lett. B 518, 214 (2001)
J. Meng, Nucl. Phys. A 635, 3 (1998)
I.N. Mishustin, L.M. Satarov, T.J. Bürvenich, H. Stöcker, W. Greiner, Phys. Rev. C 71, 035201 (2005)
E. Friedman, A. Gal, J. Mareš, Nucl. Phys. A 761, 283 (2005)
Author information
Authors and Affiliations
Corresponding author
Additional information
Communicated by W. Nazarewicz
Rights and permissions
About this article
Cite this article
Liang, H., Hui Long, W., Meng, J. et al. Spin symmetry in Dirac negative-energy spectrum in density-dependent relativistic Hartree-Fock theory. Eur. Phys. J. A 44, 119–124 (2010). https://doi.org/10.1140/epja/i2010-10938-6
Received:
Revised:
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.1140/epja/i2010-10938-6