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1、Theoretical studies on properties of some superheavy nuclei,Zhongzhou REN Department of Physics, Nanjing University, Nanjing, China Center of Theoretical Nuclear Physics, National Laboratory of Heavy-Ion Accelerator, Lanzhou, China,Outline,Introduction Nuclear structure calculations on superheavy nu
2、clei (RMF, SHF, MM, ) Half-lives of alpha decay: density-dependent cluster model (DDCM) Summary,1. introduction: experiments,Z=110 (Ds), 111(Rg), 112 were produced at GSI, Hofmann, Muenzenberg, Ackermann. Z. Phys. A, 1995-1996, . Z=114-116, 118, at Dubna, by Oganessian et al. Nature, 1999; PRL, 1999
3、;PRC, 2000-2007. Z=110-111, new results, at Berkeley, PRL 2004. Z=113, RIKEN, Morita, J. P. S. J., 2004. 270Hs, Duellman, Turler, , Nature 2003, PRL 2007. 265Bh, Lanzhou, Gan, Qin, , EPJA 2004.,1. introduction: theory.,J. A. Wheeler, 1950s: Superheavy nuclei Werner and Wheeler, Phys. Rev., 109 (1958
4、) 126. 1960s-2000s, macroscopic-microscopic model (MM): Nilsson et al, Z=114 and N=184. 1970s-2000s: Skyrme-Hartree-Fock (SHF) Model; Z=126? N=184? 1990s-2000s: Relativistic Mean-Field model : Z=120 ? N=184? Spherical or deformed for superheavy nuclei ?,Werner and Wheeler, PR, 1958: superheavy nucle
5、i,2. Nuclear structure calculations,2.1. RMF calculations on superheavy nuclei Z=90-120：binding energies, deformations, Compare RMF with experimental data RMF predictions on experiments Ren et al. , PRC (2002-2005) ; NPA(2003-2005) 2. 2 New idea: shape coexistence and superdeformation Ren and Toki,
6、2001, NPA, Ren et al, 2.3. Shape coexistence from other models SHF model and MM model Cwiok et al, Nature 433, 2005. Goriely et al., Ato. Dat. Nucl. Dat. Tab. 77 (2001) 311 .,2.1 RMF results and discussion,Nuclei: Z =94120; N=130190. Comparison of theoretical binding energy with exprimental data. Co
7、mparison of theoretical alpha decay energy with exprimental data. Comparison of theoretical quadrupole deformation with exprimental data.,Table 1, RMF results for Pu. (TMA and NLZ2). Experimental Beta2=0.29 for 238-244Pu.,Table 2, RMF results for Cm. (TMA and NLZ2),Experimental deformation Beta2=0.3
8、0 for 244-248Cm,Table 5, RMF results for No. (TMA and NLZ2),Experimental deformation Beta2=0.27 for 254No,Experimental B/A (MeV) is between two sets of RMF results (Z=98-108).,Fig. 3 Binding energy of the Z=112, A=277 alpha-decay chain from the RMF and Moller et al.,Fig. 4 Theoretical and experiment
9、al alpha decay energies for GSI Data: Z=110, 111, 112 ( +2, +1, 0 shift).,Tab. 10, results for Dubna data 292116. (TMA) (Beta2=0.46, 0.45,0.44 for SHF model.),Tab. 11, results for Dubna data 292116. (NLZ2). (Beta2=0.46, 0.45,0.44 for SHF model).,Fig. 9 Energy surface of Z=114, A=288.,2.2 Shape coexi
10、stence, superdeformation,Z. Ren, Shape coexistence in even-even superheavy nuclei, Phys. Rev. C65, 051304 (2002) Z. Ren et al., Phys. Rev. C66, 064306 (2002) Z. Ren et al., Phys. Rev. C67, 064302 (2003) Sharma, ,Munzenberg, PRC, 2005; ,Stevenson, Gupta, Greiner, JPG, 2006. Goriely, Tondeur, Pearson,
11、 SHF Model Ato. Dat. Nucl. Dat. Tab. 77 (2001) 311. Superdeformation for some superheavy nuclei,15. Ren, Z. Shape coexistence in even-even superheavy nuclei. Phys. Rev. C65, 051304 (2002),Cited: shape coexistence, Ref. 15,Nature, 433 (2005) 705,64. Z. Ren, Phys. Rev. C65, (2002) 051304(R) 65. Z. Ren
12、 et al., Phys. Rev. C66, (2002) 064306,Exp. Def. : 0.28, RMF Def.: 0.26-0.32,cited.,Theoretical prediction: 265107 Qa and Ta Z. Ren et al, PRC 67 (2003) 064302; JNRS 3 (2002) 195.,Expt: Gan et al, EPJA 2004, Qa=9.38 , Ta=0.94 s. Good agreement between theory and data.,RMF prediction for 278113 : Qa
13、and Ta Z. Ren, Prog. Theor. Phys. Supplement, No. 146 (2002) 498 (YKIS01, Japan).,Morita et al, JPSJ 2004, Qa=11.68, Ta=0.34 ms. Good agreement between theory and data.,南京大学,Predictions of SHF and RMF compare well with MM results 12,13,Oganessian et al, PRC72 2005,南京大学,SHF 12，49-51 and RMF 13，52-57
14、compare well with the experimental results,Oganessian et al, PRC72 2005,Siemens and Bethe: nuclei with Z104 are prolate,Siemens and Bethe: nuclei with Z104 are prolate,Conclusion :,Conclusion :,Sharma, Stevenson, Gupta, Greiner agree with us: shape coexistence and superdeformation,Geng, Toki, Zhao:
15、similar results with us.,Geng, Toki, Zhao JPG 32 (2006) 573: shape coexistence and superdeformation.,Other RMF calculations agree with ours: superdeformation in superheavy nuclei,Macro-E,Micro-E,Total,Micro-E,Shell-corr.,Macroscopic-microscopic (MM) model,Pairing-E,Liquid-drop model,Macroscopic-E:,M
16、icroscopic-E:,Nilsson potential as a single particle, parameters for Nilsson potentials（T. Bengtsson, NPA,1985),To minimize the total energy for different deformation and to obtain the ground state energy and deformation parameters,BCS for pairing,Strutinsky shell-correction:,Even-even and odd-even nuclei：,1、Standard parameters in Nilsson model 2、BCS scheme for pairing . pairing strength:， for neutrons and protons , res
