The predictions on the mode of decay of the odd-even and odd-odd isotopes of heavy and superheavy nuclei with Z = 99-129, in the range 228 \leg A \leg 336, have been done within the Coulomb and proximity potential model for deformed nuclei (CPPMDN). A comparison of our calculated alpha half lives with the values computed using other theoretical models shows good agreement with each other. An extensive study on the spontaneous fission half lives of all the isotopes under study has been performed to identify the long-lived isotopes in the mass region. The study reveals that the alpha decay half lives and the mode of decay of the isotopes with Z = 109, 111, 113, 115 and 117, evaluated using our formalisms, agrees well with the experimental observations. As our study on the odd-even and odd-odd isotopes of Z = 99-129 predicts that, the isotopes $^{238,240-254}$99, $^{244,246-258}$101, $^{248,250,252-260,262}$103, $^{254,256,258-262,264}$105, $^{258,260,262-264,266}$107, $^{262,264,266-274}$109, $^{266,268-279}$111, $^{270-284,286}$113, $^{272-289,291}$115, $^{274-299}$117, $^{276-307}$119, $^{281-314}$121, $^{287-320,322}$123, $^{295-325}$125, $^{302-327}$127 and $^{309-329}$129 survive fission and have alpha decay channel as the prominent mode of decay, these nuclei could possibly be synthesized in the laboratory and this could be of great interest to the experimentalists. The behaviour of these nuclei against the proton decay has also been studied to identify the probable proton emitters in this region of nuclei.
Constraining the equation of state of nuclear matter from competition of fusion and quasi-fission in the reactions leading to production of the superheavy elements
The effect of the coupling between the neutron multiplicity and the fission competition on the evaporation residue cross sections of the $^{48}$Ca$+^{244}$Pu reaction
New Uzbekistan University（新乌兹别克斯坦大学）；Institute of Nuclear Physics（核物理研究所）
Microscopic description of fission in superheavy nuclei with the parametrization D1M$^{*}$ of the Gogny energy density functional
基于Gogny能量密度泛函的最新参数化D1 M $^{*}$，用约束Hartree-Fock-Bogoliubov近似描述了435个超重核的裂变. Gogny-D1 M $^{*}$参数化是对现有的实验数据的基准内和第二势垒高度，激发能的裂变异构体和半衰期在一组选定的钚，Cm，Cf，Fm，没有，Rf，Sg，Hs和F1核。结果也与Gogny-D1 M能量密度泛函得到的结果进行了比较。详细研究了原子序数为100 $\le$ Z $\le$ 126的同位素链的最小能量裂变路径，其中包括来自双中子滴线的高达约4 MeV的非常富中子的扇区。还讨论了单粒子能量、基态变形、配对相关、两核子分离能和势垒高度。除了裂变路径外，受约束的哈特里-福克-博戈留博夫框架还提供了集体质量和零点量子转动能和振动能。这些量是用于评估自发裂变半衰期t $_\mathrm{SF}$的系统性的Wentzel-Kramer-Brillouin形式主义内的构建块。通过对Viola-Seaborg公式进行参数化，计算$α$衰变半衰期t $_\mathrmα$，研究了自发裂变与$α$衰变之间的竞争.通过与已有实验数据和其它理论方法的比较，得出结论：D1 M $^{*}$是描述重核和超重核裂变的一个合理的出发点。
$α$-decay half-lives of superheavy nuclei with $Z=122-125$
对于本工作中的$α$衰变半衰期计算，使用了库仑和邻近势模型以及在先前工作[Phys. Rev. C 100，024601（2019）]中开发的扩散参数的新半经验公式。在这项工作中，本模型与广义液滴模型（GLDM），通用衰减定律（UDL），和实验的半衰期在区域$Z=104-118$。其次，用本模型对51个超重核（SHN）与$Z=122-125$的半衰期进行了预测，并与GLDM和UDL的结果进行了比较。本模型显示，更准确地再现实验半衰期相比，GLDM和UDL。此外，它被发现，本模型和UDL的预测是高度一致的，而GLDM很大程度上偏离其他两个。对$α$衰变和自发裂变（SF）之间竞争的研究表明，$α$衰变是主要的衰变模式。在所研究的含$Z=122-125$的SHN中，${}^{295-307}122$和${}^{314-320}125$被确定为潜在候选物，其半衰期相对较长，足以在将来通过其$α$ -衰变链进行实验检测。所确定的候选人与其他最近的工作是一致的。
