Isoscalar Giant Monopole Resonance in Relativistic Continuum Random Phase Approximation
YANG Ding1,2, CAO Li-Gang3,4, MA Zhong-Yu1,3
1China Institute of Atomic Energy, PO Box 275(18), Beijing 1024132Communication University of China,Beijing 1000243Center of Theoretical Nuclear Physics, National Laboratory of Heavy Collision, Lanzhou 7300004Institute of Modern Physics, Chinese Academy of Sciences, Lanzhou 730000
Isoscalar Giant Monopole Resonance in Relativistic Continuum Random Phase Approximation
YANG Ding1,2, CAO Li-Gang3,4, MA Zhong-Yu1,3
1China Institute of Atomic Energy, PO Box 275(18), Beijing 1024132Communication University of China,Beijing 1000243Center of Theoretical Nuclear Physics, National Laboratory of Heavy Collision, Lanzhou 7300004Institute of Modern Physics, Chinese Academy of Sciences, Lanzhou 730000
摘要The isoscalar giant monopole resonance (ISGMR) in nuclei is studied in the framework of a fully consistent relativistic continuum random phase approximation (RCRPA). In this method the contribution of the continuum spectrum to nuclear excitations is treated exactly by the single particle Green's function technique. The negative energy states in the Dirac sea are also included in the single particle Green's function in the no-sea approximation. The single particle Green's function is calculated numerically by a proper product of the regular and irregular solutions of the Dirac equation. The strength distributions in the RCRPA calculations, the inverse energy-weighted sum rule m-1 and the centroid energy of the ISGMR in 120Sn and 208Pb are analysed. Numerical results of the RCRPA are checked with the constrained relativistic mean field model and relativistic random phase approximation with a discretized spectrum in the continuum. Good agreement between them is achieved
Abstract：The isoscalar giant monopole resonance (ISGMR) in nuclei is studied in the framework of a fully consistent relativistic continuum random phase approximation (RCRPA). In this method the contribution of the continuum spectrum to nuclear excitations is treated exactly by the single particle Green's function technique. The negative energy states in the Dirac sea are also included in the single particle Green's function in the no-sea approximation. The single particle Green's function is calculated numerically by a proper product of the regular and irregular solutions of the Dirac equation. The strength distributions in the RCRPA calculations, the inverse energy-weighted sum rule m-1 and the centroid energy of the ISGMR in 120Sn and 208Pb are analysed. Numerical results of the RCRPA are checked with the constrained relativistic mean field model and relativistic random phase approximation with a discretized spectrum in the continuum. Good agreement between them is achieved
YANG Ding;CAO Li-Gang;MA Zhong-Yu;. Isoscalar Giant Monopole Resonance in Relativistic Continuum Random Phase Approximation[J]. 中国物理快报, 2009, 26(2): 22101-022101.
YANG Ding, CAO Li-Gang, MA Zhong-Yu,. Isoscalar Giant Monopole Resonance in Relativistic Continuum Random Phase Approximation. Chin. Phys. Lett., 2009, 26(2): 22101-022101.
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2009, Vol. 26 
