Calculations of α-Decay Half-Lives by the Generalized Viola-Seaborg Formula

DONG Tie-Kuang; REN Zhong-Zhou

Chinese Physics C> 2006, Vol. 30> Issue(2) : 113-117

Calculations of α-Decay Half-Lives by the Generalized Viola-Seaborg Formula

DONG Tie-Kuang ,
REN Zhong-Zhou ^,

Department of Physics, Nanjing University, Nanjing 210008, China2 Center of Theoretical Nuclear Physics, National Laboratory of Heavy-Ion Accelerator, Lanzhou 730000, China

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Abstract：
The Viola-Seaborg formula is a well-known formula for α decay half-life of heavy nuclei. In this work we obtain a set of new parameters for this formula through a least-square fit to even-even nuclei between Z= 84 and Z=110 with N greater than 126. On average, the formula can reproduce the half-lives of heavy even-even nuclei with a factor of 1.3. In order to improve the calculated results for odd-A nuclei and for odd-odd nuclei, we obtain a generalized form of the Viola-Seaborg formula by including the influence of orbital angular momentum of α particle on half-lives of odd-A nuclei and odd-odd nuclei. On average, half-lives of odd-A and odd-odd nuclei can be reproduced with a factor of 2.5 by the generalized Viola-Seaborg formula.

References

[1]

. Viola V E, Seaborg G T. J. Inorg. Nucl. Chem., 1966, 28:7412. Mller P, Nix J R, Kratz K L. At. Data and Nucl. DataTables, 1997, 66: 1313. Hofmann S, Münzenberg G. Rev. Mod. Phys., 2000, 72:7334. Wilk P A, Gregorich K E, Türler A et al. Phys. Rev. Lett.,2000, 85: 26975. Oganessian Yu Ts, Utyonkov V K, Lobanov Yu V et al.Phys. Rev., 2004, C70: 0646096. GAN Zai-Guo et al. HEP NP, 2004, 28(4): 332 7. Audi G, Bersillon O, Blachot J et al. Nucl. Phys., 2003,A729: 38. Rasmussen J O. Alpha-Decay. In: Siegbahn K.α·β·γ·Ray Spectroscopy(Volume I).Netherlands: North-Holland Publishing Company Amsterdam, 1965. 7019. REN Zhong-Zhou, XU Chang, WANG Zai-Jun. Phys. Rev.,2004, C70: 03430410. REN Zhong-Zhou, XU Chang, WANG Zai-Jun. HEP NP, 2004, 28(12): 124511. Gallagher C J, Rasmussen J O. J. Inorg. Nucl. Chem., 1957,3: 33312. Preston M A, Bhaduri R K. Strcture of the Nucleus.USA: Addison-Wesley Publishing Company, INC., 1975.509

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DONG Tie-Kuang and REN Zhong-Zhou. Calculations of α-Decay Half-Lives by the Generalized Viola-Seaborg Formula[J]. Chinese Physics C, 2006, 30(2): 113-117.

DONG Tie-Kuang and REN Zhong-Zhou. Calculations of α-Decay Half-Lives by the Generalized Viola-Seaborg Formula[J]. Chinese Physics C, 2006, 30(2): 113-117. shu

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Received: 2005-04-30
Revised: 1900-01-01

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沈阳化工大学材料科学与工程学院沈阳 110142

Calculations of α-Decay Half-Lives by the Generalized Viola-Seaborg Formula

DONG Tie-Kuang
REN Zhong-Zhou ^,

Corresponding author: REN Zhong-Zhou,

Department of Physics, Nanjing University, Nanjing 210008, China2 Center of Theoretical Nuclear Physics, National Laboratory of Heavy-Ion Accelerator, Lanzhou 730000, China

Received Date: 2005-04-30
Accepted Date: 1900-01-01
Available Online: 2006-02-05

Abstract: The Viola-Seaborg formula is a well-known formula for α decay half-life of heavy nuclei. In this work we obtain a set of new parameters for this formula through a least-square fit to even-even nuclei between Z= 84 and Z=110 with N greater than 126. On average, the formula can reproduce the half-lives of heavy even-even nuclei with a factor of 1.3. In order to improve the calculated results for odd-A nuclei and for odd-odd nuclei, we obtain a generalized form of the Viola-Seaborg formula by including the influence of orbital angular momentum of α particle on half-lives of odd-A nuclei and odd-odd nuclei. On average, half-lives of odd-A and odd-odd nuclei can be reproduced with a factor of 2.5 by the generalized Viola-Seaborg formula.