The complete fusion of $^9$Be with $^{144}$Sm and $^{208}$Pb targets is calculated in the coupled-channels approach. The calculations include couplings between the 3/2$^-$, 5/2$^-$, and 7/2$^-$ states in the $K=3/2$ ground state rotational band of $^9$Be. It is shown that the $B(E2)$ values for the excitation of these states are accurately described in the rotor model. The interaction of the strongly deformed $^9$Be nucleus with a spherical target is calculated using the double-folding technique and the effective M3Y interaction, which is supplemented with a repulsive term that is adjusted to optimize the fit to the data for the $^{144}$Sm target. The complete fusion is described by in-going-wave boundary conditions. The decay of the unbound excited states in $^9$Be is considered explicitly in the calculations by using complex excitation energies. The model gives an excellent account of the complete fusion (CF) data for $^9$Be+$^{144}$Sm, and the cross sections for the decay of the excited states are in surprisingly good agreement with the incomplete fusion (ICF) data. Similar calculations for $^9$Be+$^{208}$Pb explain the total fusion data at high energies but fail to explain the CF data, which are suppressed by 20%, and the calculated cross section for the decay of excited states is a factor of three smaller than the ICF data at high energies. Possible reasons for these discrepancies are discussed.
Breakup of $^{9}$Be on $^{209}$Bi above and near the Coulomb barrier as a molecular single-particle effect: its influence on complete fusion and scattering
用绝热双中心壳模型方法研究了轰击能量在库仑势垒之上和附近时,$^{9}$ Be弹丸在$^{209}$ Bi靶上的破碎。研究了$^{9}$ Be $% \to $ n $+2α$破碎通道对完全熔合、弹性和非弹性截面的影响。结果表明,在碰撞核到达库仑势垒之前不久,抛射体$^{9}$ Be的分裂可能是由于分子单粒子效应。
Two center shell model with Woods-Saxon potentials: adiabatic and diabatic states in fusion
基于两个球形Woods-Saxon势和势可分离展开方法,提出了一种实用的聚变双中心壳模型。该模型描述了引信系统中的单粒子运动。本文提出了一种计算定常非绝热态的方法,它利用了这些态的形式定义,即,它们使绝热状态之间的径向非绝热耦合最小化。作为一个例子,系统$^{16}$ O + $^{40}$ Ca $\to$ $^{56}$ Ni进行了讨论。
Fusion and breakup in the reactions of 6,7Li and 9Be
发展了一种三体经典轨道蒙特卡罗(CTMC)方法,讨论了碎裂过程对弱束缚核引起的重离子熔合反应的影响。该方法遵循分裂发生后分裂碎片的经典轨迹,从而提供完全和不完全融合截面之间的明确分离。将该方法应用于聚变反应$^{6}$ Li + $^{209}$ Bi,我们发现,所有分裂碎片被靶核捕获的过程对总的完全聚变截面有显著贡献(即,分裂后完全融合)。
本文讨论了松约束弹的破碎过程在垒下聚变反应中的作用。通过对粒子连续态进行能量离散,对$^{11}$ Be + $^{208}$ Pb和$^{4,6}$ He + $^{238}$ U反应进行了耦合通道计算.计算结果表明,与分裂通道的耦合有两种效应,即通量损失和聚变势的动力学调制。它们的净效应因能源区域而异。在库仑势垒以上的能量,前者的效果占主导地位,后者和截面完全融合相比,没有耦合的情况下,受阻。另一方面,在势垒以下,后者的影响比前者大得多,从而增强了完全熔合截面。