~(12)C+~(13)C熔合截面测量中统计模型引入的系统误差研究（英文）

在本工作中,我们分别采用薄靶和厚靶实验技术,测量了~(12)C+~(13)C反应在质心系能量4～6 MeV的熔合截面。实验得到了~(12)C+~(13)C反应的在线γ产额和离线的24Na活度,利用TALYS统计模型给出的反应道分支比,导出了熔合反应的总截面。通过对比不同实验得到的总截面,定量研究了统计模型修正所带来的系统误差:在线γ分支比修正引入的系统误差为14%;由离线24Na活度测量得到总截面时,~(24)Na分支比修正带来的系统误差也为14%。     

12C+13C在库仑位垒以下能区的熔合截面测量

深垒下能区的12C+13C熔合截面测量对检验天体中熔合反应外推模型具有很重要的意义。目前在库仑位垒以下能区存在的各种测量结果,都利用了统计模型来修正得到熔合截面,但对于这些方法间的系统误差仍没有很好地研究。实验采用离线活度测量的方法,在E_c.m.=4.4～5.8 MeV能区内对12C+13C熔合截面进行测量。经Hauser-Feshbach统计模型对分支比的修正后,熔合总截面由24Na活度推导出。通过本实验数据与其它实验方法获得的数据进行比较,确定了统计模型的系统误差为14%。The study of fusion reactions of 12C+13C at the deep sub-barrier energies is very important for the test of predictive power of the extrapolation models for nuclear reactions for astrophysics. Until now, all the measurements below Coulomb barrier energies have to use the statistical model calculations to estimate the branching ratios to deduce the total fusion cross sections. However, the systematic uncertainty induced by the calculated corrections has not been studied well. In this experiment, the fusion cross sections of 12C+13C have been measured using an offline activity measurement in the range of E_c.m.=4.4 to 5.8 MeV. The total fusion cross sections have been deduced from the 24Na activities after correcting the branching ratios estimated with the Hauser-Feshbach statistical model. Through the comparison between our result and other data obtained with other methods, the systematic uncertainty of statistical model has been determined to be 14%.     

￣16O ￣12C熔合截面粗共振现象的研究

应用核分子轨道理论（ＬＣＮＯ）和宇称相关势的折叠模型，研究了１６Ｏ＋１２Ｃ全熔合截面中所呈现的粗共振结构，该系统的全熔合截面和弹性散射激发函数及角分布的实验数据都得到了较好地解释。     

~(12)C+~(159)Tb,~(12)C+~(165)Ho熔合截面的测量

我们测量了库仑位垒附近~(12)C+~(159)Tb、~(12)C+~(165)Ho反应的熔合截面.实验中用Si(Li)X射线谱仪离线测量了蒸发余核的特征K-x射线能谱,从而得到了蒸发余核的半寿命及其蒸发余核生成分支比.最后获得了熔合截面,并与理论计算值进行了比较.     

16O+12C熔合截面粗共振现象的研究

应用核分子轨道理论(LCNO)和宇称相关势的折叠模型,研究了¹⁶O+¹²C全熔合截面中所呈现的粗共振结构,该系统的全熔合截面和弹性散射激发函数及角分布的实验数据都得到了较好地解释.     

五参数哑铃模型中核熔合反应的新奇不稳定度

在原子核熔合反应或裂变反应的动力学过程中,颈部变量都起着非常重要的作用。通常情况下,模型中变量的定义根据各种描述宏观形变的参数的不同而不同。为了进一步研究颈部增长在核熔合反应中的作用,通过引入弹核和靶核的形变参量来拓展哑铃模型。在此框架下,计算了从两个接触核到生成一个复合核过程的核熔合反应系统在不同形变下的势能曲面,同时又对核熔合反应体系的惯性张量和粘滞张量进行了计算,这些物理量的计算都为以后的朗之万动力学研究打下了基础。计算结果表明,在改进后的五参数哑铃模型之中,颈部变量是不稳定度并在核反应中起重要作用。     

基于双核模型的粒子交换势能面与熔合几率的研究(英文)

研究了基于双核模型的粒子交换势能面.原子核的形变效应对于势能面的形状有较大的影响.在反应过程中,作为反应时间函数的动态形变的变化是显著的.通过求解主方程,对一些基于冷熔合机制的反应道的全熔合几率也进行了讨论. The Potential Energy Surface (PES) for particle exchange in Di nuclear system is studied in detail. It is found that the nuclear deformation effect can change the shape of PES significantly. The dynamical deformation as a function of the reaction time in the reaction process is investigated in a simple model and we found that its variation with time is dramatic. The fusion probabilities P-CN of some reaction channels based on the mechanism of cold fusion are also calculated.     

~(16)O+~(12)C反应全熔合激发函数的测量

我们用位置灵敏的ΔE-E望远镜系统测量了入射能量为50—90MeV范围内的~(16)O+~(12)C反应全熔合截面,发现全熔合激发函数是不平滑的,存在着一些结构,其峰位约在26.0,31.0和36.4MeV。对实验结果进行了分析和讨论,并与前人的工作进行了比较。     

近垒及垒下12C+93Nb的蒸发剩余核截面

使用离线γ测量技术在实验室系28.3MeV至45.7MeV的能区首次测量了¹²C+⁹³Nb反应产生的8个核素及同质异能态的激发函数.使用包括非弹性激发和α转移道的简单耦合道模型,结合统计蒸发程序对实验结果进行拟合.计算结果能较好地重现强截面的中子蒸发道(xn)的激发函数.而对于弱的质子(xpyn)特别是α粒子(xαyn)蒸发道的截面,实验测量明显高于模型计算结果.α转移道与入射道耦合作为熔合反应的门庭态使垒下能区重离子熔合截面有很大的加强,实验测量与理论计算的比较表明对于¹²C+⁹³Nb反应系统在垒下能区可能存在着很强的α转移截面.     

Fusion cross-section measurements for the 13C+13C reaction

Absolute γ-ray yields from characteristic low-lying levels in nuclei produced in the ¹³C+ ¹³C reaction have been measured from E_c.m. = 4.0 to 15.8 MeV using an intrinsic germanium detector. Statistical-model calculations of the decay modes of the compound nucleus have been used to deduce absolute cross sections for the production of the observed residual nuclei and to determine the fusion cross section. Consistency checks on the adopted procedure lead to an estimated absolute uncertainty of ± 15 % on the deduced cross sections. Over the energy range covered, no striking evidence has been found for either broad single-particle resonances or for narrow non-statistical resonances in the cross sections for individual channels. Comparisons are made with optical-model calculations of the reaction cross section and with different expressions for the fusion cross section.     

Fusion cross section for 13C + 13C at low energies

The energy dependence of the fusion cross section has been measured over the range E_c.m. = 3.05–6.88 MeV by detecting the γ-rays from residual nuclei in a 4π geometry. Analyzing the 1.37 MeV photopeak, originating from ${}^{24}\text{Mg}\text{1.37}\text{MeV}\text{→}\text{g.s. transition}$, the cross sections for ²⁴Mg+2n channel were also deduced. The measured fusion cross sections have been compared with those for ¹²C + ¹²C and ¹²C + ¹³C systems and found to be significantly different. For ¹³C+¹³C the fusion cross sections agree with the standard optical-model prediction down to the lowest measured energies, while for ¹²C + ¹²C and ¹²C + ¹³C they are, at the lowest energies, too low. It is suggested that the unpaired valence nucleons facilitate fusion at energies well below the Coulomb barrier.     

Formation of covalent nuclear molecules in the 13C + 12C system

Angular distribution's of the elastic scattering of ¹³C on ¹²C and the inelastic scattering leading to the lowest-lying $\text{1}\text{2}{}^{\mathrm{+}}$ and $\text{5}\text{2}{}^{\mathrm{+}}$ states in ¹³C have been measured at energies close to the Coulomb barrier. Analyses carried out in the framework of a complete coupled-reaction-channel theory show that extremely polarized single-particle molecular orbits (hybridization) are formed during the scattering process which give rise to a multiple-step interaction of the valence nucleon, i.e. the formation of a covalent nuclear molecule.     

Spins of resonances in the 12C + 12C system

By measuring angular distributions we have assigned J^π = 6⁺ to a resonance at E_c.m. = 7.50 ±0.05 MeV in the ¹²C + ¹²C system.     

Microscopic investigation of the 12C + 12C interaction

The ¹²C + ¹²C system is studied in the framework of the generator coordinate method. Each ¹²C nucleus is described by a closed $\text{p}{}_{\mathrm{<mtext>3</mtext><mtext>2</mtext>}}$ subshell. Phase shifts and resonances are determined for several effective two-body interactions involving a spin-orbit term. The existence and properties of simple local equivalent potentials for the ¹²C + ¹²C collision are discussed. The ¹²C + ¹²C system is too light to be well described by potentials independent of the angular momentum or weakly dependent on it.     

The sub-Coulomb 12C + 12C resonances in a microscopic 12C+12C,α+20Ne, 8Be+16O cluster basis

The low-J resonances in the Coulomb barrier region of the ¹² C+¹²C system are investigated in the framework of a microscopic cluster model basis including ¹²C+¹²C, α+ ²⁰Ne, and su8 Be+ ¹⁶O fragment decompositions. Calculations are carried out in an orthogonality condition model approximation in which Pauli-forbidden components are properly excluded from the basis but in which the interaction among cluster fragments is approximated by a local potential, obtained from a gaussian NN interaction by a folding procedure leading to both spherical and Q · Q terms. Only minor adjustments of overall strength and fall-off parameters are introduced to gain a consistent picture of the low-energy spectrum in the separate rearrangement channels. The basis includes cluster relative motion excitations with oscillator quanta from 12 to 20 and is not quite rich enough to give a detailed quantitative comparison between theory and experiment. Predicted excitation energies are too high by ~ 3 MeV and predicted ¹²C partial widths are too small to indicate a well-developed surface-peaked molecular character; but it does appear possible to identify a 5 MeV region as the potential seat of the 0⁺, 2⁺, 4⁺ resonances. The number and approximate spacing of the resonance fine structure components are in agreement with experiment.     

Systematics of back angle 12C scattering — the 12C + 20Ne and 12C + 24Mg systems

The back angle scattering of ²⁰Ne and ²⁴Mg ions from ¹²C display structured excitation functions and oscillatory angular distributions. These measurements bridge the gap between the previously studied ¹²C + ¹⁶O and ¹²C + ²⁸Si systems.     

Fusion and neutron-transfer cross sections for 13C + 10B and 13C + 11B reactions at subbarrier energies

The cross sections for the ¹⁰B(¹³C, ¹²C)¹¹B neutron-transfer reaction, leading to the ¹¹B 4.45 and 6.74 MeV and ¹²C 4.44 MeV excited states, and for ¹³C + ¹⁰B fusion have been measured by the characteristic and total γ-ray yield methods, respectively, over the energy (c.m.) interval 2.4–5.8 MeV. For ¹³C + ¹¹B, with no transfer reactions present, the fusion cross sections have been measured between E_c.m. = 2.3 and 6.4 MeV. The fusion cross sections for ¹³C + ¹⁰B and ¹³C + ¹¹B are found to be almost equal and slightly enhanced with respect to those for ¹²C + ¹⁰B and ¹²C + ¹¹B.     

Intermediate resonance of inelastic 12C + 12C scattering

The intermediate resonances observed in the inelastic ¹²C + ¹²C cross sections to the single and mutual 2₁⁺(4.43 MeV) excitations and the single 3₁^? (9.64 MeV) excitation are studied by the coupled-channel method with the use of the coupling interaction derived by the folding procedure between ¹²C and ¹²C. It is shown that the model is successful in reproducing the gross structures of the inelastic cross sections and especially the correlated resonance energies of the inelastic channels. The inelastic resonances are shown to be due to the molecular resonances in an adiabatic potential between two ¹²C, which reproduces correctly the coupled channel resonances.