Phys.Rev. C 93, 044301 (2016)

B.Sahu, S.Bhoi

Viola-Seaborg relation for α-decay half-lives: Update and microscopic determination of parameters

RADIOACTIVITY ^106,108Te, ¹¹²Xe, ¹¹⁴Ba, ¹⁴⁴Nd, ^146,148Sm, ^148,150,152Gd, ^150,152,154Dy, ^152,154Er, ^154,156,158Yb, ^{156,158,160,162,174}Hf, ^{160,162,164,166,180}W, ^{162,166,168,170,172,174,186}Os, ^{168,170,174,176,178,180,188,190}Pt, ^{174,176,180,182,184,186,188}Hg, ^{178,180,182,184,186,188,190,192,194,196,198,200,202,204,206,208,210}Pb, ^{190,192,194,196,198,200,202,204,206,210,212,214,216,218}Po, ^{198,204,206,208,210,212,214,216,218,220,222}Rn, ^{210,212,214,216,218,220,222,224,226}Ra, ^{216,218,220,222,224,226,228,230,232}Th, ^{226,228,230,232,234,236,238}U, ^{232,234,236,238,240,242,244}Pu, ^{238,240,242,244,246,248}Cm, ^{240,246,248,250,252,254}Cf, ^{246,248,250,252,254,256}Fm, ^252,254,256No, ^260,266Sg(α); calculated ground-state to ground-state (l=0) half-lives and compared with experimental values; deduced analytic closed formula, as possible replacement of empirical Viola-Seaborg rule.

RADIOACTIVITY ^144,145Nd, ^{145,146,147,148}Pm, ^{146,147,148,149,150}Sm, ^{130,131,132,133,134,135,136,137,138,139,140,141,148,151}Eu, ^{135,136,137,138,139,140,141,142,143,148,149,150,151,152,153}Gd, ^{136,137,138,139,140,141,142,144,145,149,150,151,152,154}Tb, ^{138,139,140,141,142,143,144,145,146,147,149,150,151,152,153,154,155,156}Dy, ^{140,141,142,143,144,145,147,148,149,150,151,152,153,154,155,156,157}Ho, ^{145,146,147,148,149,150,151,152,153,154,155,156,157,158,159,160,161,162,164}Er, ^{153,154,155,156,157,158,159,160,161,162,163,164,165}Tm, ^{154,155,156,157,158,159,160,161,162,163,164,165,166,167,168,170}Yb, ^{155,156,157,158,159,160,161,162,163,164,165,167,168,169,170,171,172,173,174}Lu, ^{156,157,159,160,161,162,163,164,165,166,167,168,169,170,171,172,173,174,175,176,177,178}Hf, ^{157,158,159,160,161,162,163,164,165,166,167,168,169,170,171,172,173,174,175,179}Ta, ^{158,159,160,161,162,163,164,165,166,167,168,169,170,171,172,173,174,175,176,177,178,179,180,181}W, ^{160,161,162,163,164,165,166,167,168,169,170,171,172,173,174,175,176,177,178,179,180,181,183,184,185,186}Re, ^{162,163,164,165,166,167,168,169,170,171,172,173,174,175,176,177,178,179,180,181,182,183,184,185,186,187,188,189}Os, ^{164,165,166,167,168,169,170,171,172,173,174,175,176,177,178,179,180,181,182,183,184,185,186,187,188,189,190,191}Ir, ^{166,167,168,169,170,171,172,173,174,175,176,177,178,179,180,181,182,183,184,185,186,187,188,189,190,191,192,193}Pt(α); calculated α-decay half-lives using analytical formula and parameters deduced in the present work. Comparison with available experimental results.

doi: 10.1103/PhysRevC.93.044301