Sum Rule in a Consistent Relativistic Random-Phase Approximation |
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Authors: | MA ZhongYu |
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Affiliation: | Center of Nuclear TheoreticaPi hysics, National Laboratory of Heavy Ion Accelerator, Lanzhou 730000, China |
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Abstract: | A fully consistent relativistic random-phase approximation (RRPA) is studied in the sense that the relativistic mean-field (RMF) wavefunction of nucleus and the particlehole residual interactions in the RRPA are calculated from the same effective Lagrangian. A consistent treatment of RRPA within the RMF approximation, i.e., no sea approximation, has to include also the pairs formed from the Dirac states and occupied Fermi states, which is essential for satisfying the current conservation. The inverse energy-weighted sum rule for the isoscalar giant monopole mode is investigated in the constrained RMF. It is found that the sum rule is fulfilled only in the case where the Dirac state contributions are included. |
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Keywords: | relativistic random-phase approximation sum rule constrained relativistic mean-field theory Dirac states |
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