The half-lives against \ensuremath{\alpha} decay of transuranium nuclei including superheavies are calculated by three methods: a semiempirical formula taking into account the magic numbers of nucleons, the analytical superasymmetric fission model, and the universal curves. The calculations based on $Q$ values determined by using the recently published compilations of atomic masses are compared to the experimental results.

α-decay half-lives of superheavy nuclei

In this paper we predict atomic masses which are not experimentally accessible by using local mass relations which connect with the proton-neutron interactions with improved accuracy. Based on our predicted masses, we investigate one-proton and one-neutron drip lines for a few regions in the nuclide chart and α-decay half-lives times for some isotopes with proton number 102 Z 106. The impact of our predicted one-neutron separation energies on astrophysical r-process nucleosynthesis is discussed within the framework of a classical r-process model.

Predictions of unknown masses and their applications

A local formula of binding energy for heavy and superheavy nuclei has very recently been proposed [Dong and Ren, Phys. Rev. C 72, 064331 (2005)]. In this paper, the limit of the predictive ability of this local formula is investigated. It is found that the neutron-proton correlations should be considered when higher precision is required. On the one hand, we introduce a new term |N-Z-50|/A, and on the other hand we consider the different strengths of proton-proton, neutron-neutron, and neutron-proton pairing correlations. For the first time, the standard deviation {radical}({sigma}{sup 2}) of the binding energies for 117 nuclei with Z{>=}90 and N{>=}140 is reduced to 0.105 MeV. The {alpha} decay energies Q{sub {alpha}} and half-lives T{sub {alpha}} of nuclei with Z=102-118 are reproduced quite well. The proton drip line of superheavy elements from Md (Z=101) to Ds (Z=110) are predicted.

Improved version of a binding energy formula for heavy and superheavy nuclei with Z⩾90 and N⩾140

Binding energies, α-decay energies, and α-decay half-lives for heavy and superheavy nuclei

The one-proton emission, alpha decay and cluster decay using a Cubic Plus Proximity model with improved transfer-matrix method are executed for the first time for the study of decay properties of 3...

Study on particle and cluster decay of superheavy nuclei Z = 130–144 using Cubic plus Proximity potential with improved transfer matrix method

A new form of the binding energy formula of heavy nuclei with Z{>=}90 is proposed where new terms beyond the standard Bethe and Weizsaecker formula are introduced by analytical expressions. This can be considered an interesting development of the Bethe and Weizsaecker mass formula for heavy nuclei with Z{>=}90. Two versions of the formulae are presented. The first version of the formula can reproduce the 117 known binding energies of nuclei with Z{>=}90 and N{>=}140 with an average deviation 0.118 MeV. This is the first time that the binding energies of heavy nuclei with Z{>=}90 and N{>=}140 can be calculated very accurately by a formula with only seven parameters. The binding energies, {alpha}-decay energies, and {alpha}-decay half-lives of unknown superheavy nuclei are predicted. The second version of the formula is obtained by fitting the 181 data of nuclei with Z{>=}90 with nine parameters and good agreement with experimental binding energies is also reached for all nuclei with Z{>=}90.

Tiekuang Dong

Papers

New model of binding energies of heavy nuclei with Z{>=}90