Half-Lives of Proton Emitters With a Deformed Density-Dependent Model
QIAN Yi-Bin1**, REN Zhong-Zhou1,2,3, NI Dong-Dong1, SHENG Zong-Qiang1
1Department of Physcis, Nanjing University, Nanjing 210093 2Center of Theoretical Nuclear Physics, National Laboratory of Heavy-Ion Accelerator, Lanzhou 730000 3Kavli Institute for Theoretical Physics China, Beijing 100190
Half-Lives of Proton Emitters With a Deformed Density-Dependent Model
QIAN Yi-Bin1**, REN Zhong-Zhou1,2,3, NI Dong-Dong1, SHENG Zong-Qiang1
1Department of Physcis, Nanjing University, Nanjing 210093 2Center of Theoretical Nuclear Physics, National Laboratory of Heavy-Ion Accelerator, Lanzhou 730000 3Kavli Institute for Theoretical Physics China, Beijing 100190
摘要Half-lives of proton radioactivity are investigated with a deformed density-dependent model. The single folding potential which is dependent on deformation and orientation is employed to calculate the proton decay width through the deformed potential barrier. In addition, the spectroscopic factor is taken into account in the calculation, which is obtained in the relativistic mean field theory with NL3. The calculated results of semi-spherical nuclei are found to be in good agreement with the experimental data, and the results of well-deformed nuclei are also satisfactory. Moreover, a formula for the spherical proton emission half-life based on the Gamow quantum tunneling theory is presented.
Abstract：Half-lives of proton radioactivity are investigated with a deformed density-dependent model. The single folding potential which is dependent on deformation and orientation is employed to calculate the proton decay width through the deformed potential barrier. In addition, the spectroscopic factor is taken into account in the calculation, which is obtained in the relativistic mean field theory with NL3. The calculated results of semi-spherical nuclei are found to be in good agreement with the experimental data, and the results of well-deformed nuclei are also satisfactory. Moreover, a formula for the spherical proton emission half-life based on the Gamow quantum tunneling theory is presented.
[1] Buck B and Merchant A C 1992 Phys. Rev. C 45 1688
[2] Åberg S, Semmes P B and Nazarewicz W 1997 Phys. Rev. C 56 1762
[3] Bhattacharya M and Gangopadhyay G 2007 Phys. Lett. B651 263
[4] Balasubramaniam M and Arunachalam N 2005 Phys. Rev. C 71 014603
[5] Jiang J G and Ren Z Z 2006 Chin. Phys. Lett. 23 812
[6] Zhang H F et al 2009 Chin. Phys. Lett. 26 072301
[7] Dong J M, Zhang H F and Royer G 2009 Phys. Rev. C 79 054330
[8] Qian Y B, Ren Z Z and Ni D D 2010 Chin. Phys. Lett. 27 072301
[9] Xu C and Ren Z Z 2006 Phys. Rev. C 73 041301(R)
[10] Bertsch G F, Borysowicz J, Mcmanus H and Love W G 1977 Nucl. Phys. A 284 399
[11] Satchler G R and Love W G 1979 Phys. Rep. 55 183
[12] Todd-Rutel B G and J Piekarewicz 2005 Phys. Rev. Lett. 95 122501
[13] Lalazissis G A, König J and Ring P 1997 Phys. Rev. C 55 540
[14] Sonzogni A A 2002 Nuclear Data Sheets 95 1
[15] Woods P J et al 2004 Phys. Revs. C 69 051302(R)
[16] Robinson A P et al 2005 Phys. Rev. Lett. 95 032502
[17] Page R D et al 2007 Phys. Rev. C 75 061302(R)
[18] Joss D T et al 2006 Phys. Lett. B641 34
[19] Möller P, Nix J R, Myers W D and Swiatecki W J 1995 At. Data Nucl. Data Tables 59 185
[20] S Raman et al 1987 At. Data Nucl. Data Tables 36 1
2010, Vol. 27 
