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
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
摘要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.
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.
TIAN Yuan;MA Zhong-Yu;Ring Peter. Relativistic Quasiparticle Random Phase Approximation with a Separable Pairing Force[J]. 中国物理快报, 2009, 26(5): 52103-052103.
TIAN Yuan, MA Zhong-Yu, Ring Peter. Relativistic Quasiparticle Random Phase Approximation with a Separable Pairing Force. Chin. Phys. Lett., 2009, 26(5): 52103-052103.
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2009, Vol. 26 
