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Volume 26 Issue S1
May  2020
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MA Zhong-yu, YANG Ding, TIAN Yuan, CAO Li-gang. Random Phase Approximation in Relativistic Approach[J]. Nuclear Physics Review, 2009, 26(5): 49-54. doi: 10.11804/NuclPhysRev.26.S1.049
Citation: MA Zhong-yu, YANG Ding, TIAN Yuan, CAO Li-gang. Random Phase Approximation in Relativistic Approach[J]. Nuclear Physics Review, 2009, 26(5): 49-54. doi: 10.11804/NuclPhysRev.26.S1.049

Random Phase Approximation in Relativistic Approach

doi: 10.11804/NuclPhysRev.26.S1.049
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  • Corresponding author: MA Zhong-yu
  • Received Date: 1900-01-01
  • Rev Recd Date: 1900-01-01
  • Publish Date: 2020-05-11
  • Some special issues of the random phase approximation(RPA) in the relativistic approach are reviewed. A full consistency and proper treatment of coupling to the continuum are responsible for the successful application of the RPA in the description of dynamical properties of finite nuclei. The fully consistent relativistic RPA(RRPA) requires that the relativistic mean filed (RMF) wave function of the nucleus and the RRPA correlations are calculated in a same effective Lagrangian and the consistent treatment of the Dirac sea of negative energy states. The proper treatment of the single particle continuum with scattering asymptotic conditions in the RMF and RRPA is discussed. The full continuum spectrum can be described by the single particle Green’s function and the relativistic continuum RPA is established. A separable form of the paring force is introduced in the relativistic quasiparticle RPA.
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Random Phase Approximation in Relativistic Approach

doi: 10.11804/NuclPhysRev.26.S1.049
    Corresponding author: MA Zhong-yu

Abstract: Some special issues of the random phase approximation(RPA) in the relativistic approach are reviewed. A full consistency and proper treatment of coupling to the continuum are responsible for the successful application of the RPA in the description of dynamical properties of finite nuclei. The fully consistent relativistic RPA(RRPA) requires that the relativistic mean filed (RMF) wave function of the nucleus and the RRPA correlations are calculated in a same effective Lagrangian and the consistent treatment of the Dirac sea of negative energy states. The proper treatment of the single particle continuum with scattering asymptotic conditions in the RMF and RRPA is discussed. The full continuum spectrum can be described by the single particle Green’s function and the relativistic continuum RPA is established. A separable form of the paring force is introduced in the relativistic quasiparticle RPA.

MA Zhong-yu, YANG Ding, TIAN Yuan, CAO Li-gang. Random Phase Approximation in Relativistic Approach[J]. Nuclear Physics Review, 2009, 26(5): 49-54. doi: 10.11804/NuclPhysRev.26.S1.049
Citation: MA Zhong-yu, YANG Ding, TIAN Yuan, CAO Li-gang. Random Phase Approximation in Relativistic Approach[J]. Nuclear Physics Review, 2009, 26(5): 49-54. doi: 10.11804/NuclPhysRev.26.S1.049

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