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Relativistic Quasiparticle Random Phase Approximation with a Separable Pairing Force |
| TIAN Yuan1,2, MA Zhong-Yu1,3, Ring Peter2 |
| 1China Institute of Atomic Energy, Beijing 1024132Physikdepartment, Technische Universität München, D-85748, Garching, Germany3Center of Theoretical Nuclear Physics, National Laboratory of Heavy Collision, Lanzhou 730000 |
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| Cite this article: |
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TIAN Yuan, MA Zhong-Yu, Ring Peter 2009 Chin. Phys. Lett. 26 052103 |
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Abstract In our previous work [Phys. Lett. (to be published), Chin. Phys. Lett. 23(2006)3226], we introduced a separable pairing force for relativistic Hartree-Bogoliubov calculations. This force was adjusted to reproduce the pairing properties of the Gogny force in nuclear matter. By using the well known techniques of Talmi and Moshinsky it can be expanded in a series of separable terms and converges quickly after a few terms. It was found that the pairing properties can be depicted on almost the same footing as the original pairing interaction, not only in nuclear matter, but also in finite nuclei. In this study, we construct a relativistic quasiparticle random phase approximation (RQRPA) with this separable pairing interaction and calculate the excitation energies of the first excited 2+ states and reduced B(E2;0+→2+) transition rates for a chain of Sn isotopes in RQRPA. Compared with the results of the full Gogny force, we find that this simple separable pairing interaction can describe the pairing properties of the excited vibrational states as well as the original pairing interaction.
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| Keywords:
21.30.Fe
21.60.Jz
24.30.Cz
24.30.Gd
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Received: 09 February 2009
Published: 23 April 2009
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| PACS: |
21.30.Fe
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(Forces in hadronic systems and effective interactions)
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21.60.Jz
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(Nuclear Density Functional Theory and extensions (includes Hartree-Fock and random-phase approximations))
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24.30.Cz
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(Giant resonances)
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24.30.Gd
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(Other resonances)
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[1] Tian Y, Ma Z Y and Ring P 2009 Phys. Lett. B
[2] Tian Y and Ma Z Y 2006 Chin. Phys. Lett. 233226
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[7] Berger J F, Girod M and Gogny D 1991 Comput. Phys.Commun. 61 365
[8] Ansari A 2005 Phys. Lett. B 623 37
[9] Decharg\'{e J and Gogny D 1980 Phys. Rev. C 21 1568
[10] Talmi I 1952 Helv. Phys. Acta 25 185
[11] Moshinsky M 1959 Nucl. Phys. 13 104
[12] Brody T A, Jacob G and Moshinsky M 1960 Nucl.Phys. 17 16
[13] Baranger M and Davies K T R 1966 Nucl. Phys. 79 403
[14] Lalazissis G A, K{\"onig J and Ring P 1997 Phys.Rev. C 55 540 |
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