Research objects: 3 steps O Heavy and superheavy nuclei Woods-Saxon shape potential ()Medium mass nuclei and N=126 closed-shell region nuclei(spherical generalized density-dependent cluster model) () Systematic deformed calculations (deformed generalized density- dependent cluster model 16
16 Research objects: 3 steps • (I) Heavy and superheavy nuclei (Woods-Saxon shape potential) • (II) Medium mass nuclei and N=126 closed-shell region nuclei (spherical generalized density-dependent cluster model) • (III) Systematic deformed calculations (deformed generalized densitydependent cluster model)
Heavy and superheavy nuclei NPA825145-158(2009) Available online at www sciencedirect, com scⅰ enceDirect A ELSEVIER Nuclear Physics A 825(2009)145-158 www.elseviercom/locate/nuclphysa Microscopic calculation of a-decay half-lives within the cluster mode Dongdong ni, * Zhongzhou Ren.b a Department of Physics, Nanjing University, Nanjing 210093, China Center of Theoretical Nuclear Physics, National Laboratory of Heavy-Ion Accelerator, Lanzhou 730000, China e Kavli Institute for Theoretical Physics China, Beijing 100190, China Received 20 February 2009: received in revised form 21 April 2009: accepted 21 April 2009 Available online 23 April 2009 Abstract The a-decay half-lives of heavy and superheavy nuclei are systematically calculated using a radial wave function within the cluster model. The decaying state is considered as an isolated quasi-bound state, and 17
17 Heavy and superheavy nuclei NPA 825 145-158 (2009)
Potential Woods-Saxon shape nuclear potentials R=8.5 fm R =42.3fm VN(r= 0 0 1/3 120 1+ exp 0L log, lv(r)l R Vo is determined by the characteristic of the alpha- cluster quasibound state △Ad 01020304050607080 r (tm 18
18 V0 is determined by the characteristic of the alphacluster quasibound state. Woods-Saxon shape nuclear potentials
The number of internal nodes is determined by the Wildermuth condition G=2n+L ∑ 05 0.4 00 E205 R,E 0.0 -1.0 R 1.5 -2.0 -04 02468 4050607080 (m) Behaving like the irreqular Coulomb wave function G(r) 19
19 Behaving like the irregular Coulomb wave function The number of internal nodes is determined by the Wildermuth condition 4 1 2 i i G n L g = = + = G r( )