Abstract
Here we report the development of the relativistic Hartree-Bogoliubov theory in coordinate space. Pairing correlations are taken into account by both density dependent force of zero range and finite range Gogny force. As a primary application the relativistic HB theory is used to describe the chain of Lithium isotopes reaching from 6Li to 11Li. In contrast to earlier investigations within a relativistic mean field theory and a density dependent Hartree Fock theory, where the halo in 11Li could only be reproduced by an artificial shift of the 1p 1/2 level close to the continuum limit, the halo is now reproduced in a self-consistent way without further modifications using the scattering of Cooper pairs to the 2s 1/2 level in the continuum. Excellent agreement with recent experimental data is observed.
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References
J. Meng, and P. Ring, Phys. Rev. Lett. 77, 3963 (1996)
I. Tanihata et al, Phys. Rev. Lett. 55, 2676 (1985)
G.F. Bertsch, B.A. Brown, and H. Sagawa, Phys. Rev. C39, 1154 (1989)
W. Koepf, Y.K. Gambhir, P. Ring, and M.M. Sharma, Z. Phys. A340, 119 (1991)
H. Sagawa, Phys. Lett. 286B, 7 (1992)
Z.Y. Zhu, W.Q. Shen, Y.H. Cai, and Y.G. Ma, Phys. Lett. 328B, 1 (1994)
G.F. Bertsch and H. Esbensen; Ann. Phys. (N.Y.) 209, 327 (1991)
H. Kucharek and P. Ring; Z. Phys. A339, 23 (1991)
J. Boguta and A.R. Bodmer; Nucl. Phys. A292, 413 (1977)
L.P. Gorkov; Sov. Phys. JETP 7, 505 (1958)
S.J. Lee et al; Phys. Rev. Lett. 57, 2916 (1986)
J.F. Berger, M. Girod, and D. Gogny; Nucl. Phys. A428, 32c (1984)
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Communicated by D. Schwalm
Supported by the Alexander von Humboldt Foundation and by the Bundesministerium für Forschung und Technologie under the project 06 TM 743
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Meng, J., Pöschl, W. & Ring, P. Relativistic Hartree-Bogoliubov description of the lithium isotopes. Z. Phys. A 358, 123–124 (1997). https://doi.org/10.1007/s002180050285
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DOI: https://doi.org/10.1007/s002180050285