Chin. Phys. Lett.  2009, Vol. 26 Issue (2): 022101    DOI: 10.1088/0256-307X/26/2/022101
NUCLEAR PHYSICS |
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
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YANG Ding, CAO Li-Gang, MA Zhong-Yu 2009 Chin. Phys. Lett. 26 022101
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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
Keywords: 21.60.Jz      24.30.Cz      21.65.-f     
Received: 24 September 2008      Published: 20 January 2009
PACS:  21.60.Jz (Nuclear Density Functional Theory and extensions (includes Hartree-Fock and random-phase approximations))  
  24.30.Cz (Giant resonances)  
  21.65.-f (Nuclear matter)  
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https://cpl.iphy.ac.cn/10.1088/0256-307X/26/2/022101       OR      https://cpl.iphy.ac.cn/Y2009/V26/I2/022101
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YANG Ding
CAO Li-Gang
MA Zhong-Yu
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[7] Colo G, Giai N V, Meyer J, Bennaceur K and Bonche P 2004 Phys. Rev. C 70 024307
[8] Piekarewicz J 2007 Phys. Rev. C 76 031301(R)
[9] Huillier M L and Giai N V 1989 Phys. Rev. C 392022
[10] Ma Z Y, Toki H and Giai N V 1997 Phys. Rev. C 55 2385
[11] Maruyama T and Suzuki T 1989 Phys. Lett. B 219 43
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