Model Calculation of n 6Li Reactions Below 20 MeV

Based on the unified Hauser-Feshbach and exciton model for light nuclei, the calculations of reaction cross sections and the double-differential cross sections for n 6Li are performed. Since all of the first-particle emissions are from the compound nucleus to the discrete levels, the angular momentum coupling effect in pre-equilibrium mechanism must be taken into account. The fitting of the measured data indicates that the three-body break-up process needs to be involved, and the pre-equilibrium reaction mechanism dominates the reaction processes. In light nucleus reactions the recoil effect must be taken into account.``     

Calculation of Double—Differential Cross Sections of n＋^7Li Reactions Below 20 MeV

A new reaction model for light nuclei is proposed to analyze the measured data,especially for analysis of the double-differential cross sections of the outgoing particles.Many channels arc opened in the n + 7Li reaction below En＜ 20 MeV.The reaction mechanism is very complex,beside the sequential emissions there are also three-body breakup processes.Because of a strong recoil effect of light nucleus reactions,the energy balance is strictly taken into account.The comparisons of the calculated results with the double-differential measurements indicate that the model calculations are successful for the total outgoing neutrons.     

Analysis of Neutron Double-Differential Cross Sections for n ＋ ^12 C Reaction Below 30 MeV

Based on the light nucleus reaction model （Nucl. Sci. Eng. 133 （1999） 218）, four aspects （neutron incident energy region, reaction channel analysis, the renewed level schemes and the optical model parameters） of n＋ ^12 C reaction are improved to calculate total outgoing neutron double-dilferential cross sections with modified LUNF code below 30 MeV. The calculated results agree fairly well with the experimental data at En = 14.1 MeV and 18 MeV. The analysis shows that the pre-equilibrium mechanism, which is exactly considered the conservation of energy, momentum and parity, dominates the whole reaction process. The contribution of the neutron emission from 5He to total energy- angular spectra is also considered properly. This modified LUNF code will be a useful tool to set up the file of neutron double-differential crass sections below 30 Me V in the neutron evaluation nuclear data library.     

Analysis of Neutron Double-Differential Cross Sections for n + 12C Reaction Below 30 MeV

Based on the light nucleus reaction model (Nucl. Sci. Eng. l33 (1999) 218), four aspects (neutron incident energy region, reaction channel analysis, the renewed level schemes and the optical model parameters) of n 12 C reaction are improved to calculate total outgoing neutron double-differential cross sections with modified LUNF code below 30 MeV. The calculated results agree fairly well with the experimental data at En = 14.1 MeV and 18 MeV. The analysis shows that the pre-equilibrium mechanism, which is exactly considered the conservation of energy, momentum and parity, dominates the whole reaction process. The contribution of the neutron emission from 5He to total energyangular spectra is also considered properly. This modified LUNF code will be a useful tool to set up the file of neutron double-differential cross sections below 30 MeV in the neutron evaluation nuclear data library.     

n+11B反应的理论计算和分析

在统一的豪泽–费许巴赫理论和激子模型的基础上,利用光学模型来处理中子诱发轻核核反应的一种新理论已经产生.利用这一新理论,对当入射中子En≤20MeV时n+¹¹B反应的所有反应截面,出射中子和α粒子的双微分截面进行了计算.通过比较理论计算的各种截面,出射中子总的双微分截面与实验数据,可以认为这一理论模型处理轻核核反应是很成功的.     

20 MeV以下n+6Li反应的理论计算

核反应R矩阵理论是研究轻核反应以及中重和重核共振能区核反应的重要理论方法。包含能级矩阵非对角元贡献的完全R矩阵理论在理论上比较严格。根据不同的假定和近似得到不同的R矩阵计算方法。新编的R矩阵程序FDRR包含了4种计算方法,包括约化道多能级Breit-Wigner 方法、完全约化R矩阵方法、非对角化能级位移约化R矩阵方法及对角化能级位移约化R矩阵方法。可计算轻核各种两体反应道的截面、角分布。利用FDRR程序对n+6Li 反应20 MeV以下能区进行理论分析和计算,理论计算结果与实验数据进行了比较分析,理论计算得到的截面和角分布与实验数据符合得很好。R-matrix theory is an important theory of light, medium and heavy mass nuclide nuclear reaction in the resonance energy range. Full R-matrix formalism contains the un-diagonal element of energy levels matrix and it is rigorous in theory. Because of different assumptions and approximations, many kinds of R-matrix methods are obtained. The new R-matrix code FDRR is presented and includes 4 kinds of R-matrix methods, reduced multi-level Breit-Wigner R-matrix method, full reduced R-matrix method, un-diagonal energy shift reduced Rmatrixn method, and diagonal energy shift reduced R-matrix method. It can be used for calculating integral cross sections and angular distributions of 2-bodies reactions. The cross sections and angular distributions of n+6Li reaction are calculated and analyzed by FDRR code below 20 MeV. The calculation results are compared with the experimental data, and the cross sections and angular distributions are in good agreement with experimental data.     

Pre-equilibrium effects in (n, 2n) reactions at 14.2 MeV+

With a view to study the pre-equilibrium effects in neutron-induced reactions, the activation cross-sections for (n, 2n) reactions at 14.2±0.2 MeV in the heavy mass region have been measured using the versatile mixed powder technique and high resolution Ge(Li) detection. The experimental cross-sections are found to be consistently smaller than the predictions based on the statistical theory and this is attributed to the effect of pre-equilibrium decay in these reactions. The cross-sections due to pre-equilibrium decay were estimated using exciton, hybrid and unified models. When this cross-section was included in comparing the experimental cross-sections with theory, we obtained better agreement, within the limitations of the present-day preequilibrium theories. Preliminary results of this work were reported at the Nuclear Physics and Solid State Physics Symposium, Pune (1978).     

中子诱发12C反应的理论计算与分析

利用统一的Hauser–Feshbach理论和角动量相关的激子模型,以中子诱发¹²C反应为例,研究了轻核反应的反应机制和轻核反应的特点,并进行了理论计算,同时与实验数据进行了比较.     

Theoretical Analysis of Neutron Double-Differential Cross Section of n ＋^19F at 14.2 MeV

A new light nuclear reaction model has been developed and the double-differential measurements of lp shell nuclei have been analyzed successfully. Now, the application of this model is expanded to 19F of the 2s-ld shell nucleus. The double-differential cross section of total outgoing neutron for n ＋^19F reactions at En=14.2 MeV has been calculated and analyzed, which agrees fairly well with the experimental measurements. In this paper, the contributions from different reaction channels to the double-differential cross sections have been analyzed in detail. The calculations indicate that this light nudear reaction model is also able to be used for the 2s-ld shell nucleus so long as the related level scheme couM be provided sufficiently.     

Calculation and Analysis of Neutron-Induced Reactions on 58Ni Below 150MeV

Based on the experimental data of the total, the nonelastic and the elastic cross sections and the elastic scattering angular distributions for n+⁵⁸Ni reactions, a set of parameters for a neutron optical model potential is obtained in the incident neutron energy region from 0.8—150MeV. Then reaction cross sections, angular distributions, energy spectra, gamma-ray production cross sections and gamma-ray production energy spectra are calculated in terms of the optical model, the distorted wave Born approximation theory, the Hauser-Feshbach theory, the exciton model and the cascade mechanism inside nuclear. The results are analyzed and compared with the existing experimental data and other evaluated data from ENBF/B-6. They are in agreement with each other within error bars.     

Multibody final states of the 6Li + 6Li reaction AT 97 MeV

Absolute coincidence cross sections were measured for the reactions ⁶Li + ⁶Li → 3α, ⁶Li(⁶Li, 2α), and ⁶Li (⁶Li, 2d), where the latter two represent $\text{N-}\text{body}\text{(N ≧ 4)}$ final states. Broad peaks from the ⁶Li (⁶Li, 2α) reaction are well described by a double spectator pole (DSP) model utilizing a Hulthén wave function, whereas near 40 MeV the DSP peaks are much narrower than predicted. A broad peak in the 3α final-state spectrum, attributed to a single-spectator pole (SSP) process, is well described with the same wave function. The SSP is the principal mechanism for the 3α reaction, in contrast to data near 40 MeV which show that sequential decay from ⁸Be levels is dominant.     

6Li break-up effect on elastic and inelastic scattering of6Li +6Li at 156 MeV

The elastic and inelastic scattering of 156 MeV⁶Li projectiles from⁶Li is studied experimentally and theoretically. The experimental differential cross sections are analyzed by the method of coupled discretized continuum channels in which resonant and non-resonant break-up states of⁶Li are taken into account explicitly. The measured cross sections are simultaneously reproduced quite well by the calculations. Coupling effects of the break-up states are found to play an important role for the scattering.     

Elastic scattering of6Li on12C at 20 MeV

The elastic scattering of lithium nuclei from carbon was measured atE _lab=20 MeV. The obtained angular distribution was fitted by an optical model calculation. Parameter sets and the corresponding transmission coefficients are given.     

Theoretical Analysis of Neutron Double-Differential Cross Sections of n+ 9Be Reactions

By using the nuclear reaction model for light nuclei, the calculations of the double-differential cross sections of outgoing neutrons from n+⁹Be reactions are performed. The total outgoing neutrons are only come from the (n, 2n)2α reaction channel. The (n,2n)2α reaction channel is achieved through sixdifferent reaction approach, which are illustrated in this paper. The calculated results agree very well with the measured data at E_n = 7.1, 8.09, 8.17, 9.09, 9.97 and 10.26 MeV, because the updated level schemes related to the n+⁹Be reactions have been employed in this calculations.     

Theoretical Model Calculation for d+8Li Reaction

Based on the theoretical models for light nuclei, the calculations of reaction cross sections and the angular distributions for d+⁸Li reaction are performed. Since all of the particle emissions are from the compound nucleus to the discrete levels, the angular momentum coupling effect in pre-equilibrium mechanism is taken into account. The three-body break-up process and the recoil effect are involved. The theoretical calculated results are compared to existing experimental data.     

Measurement of (p,n) and (n,p) reactions on 6Li and 7Li at 800 MeV

The measured ⁷Li(p,n), and ⁶Li(n,p) cross sections at 0° show a high-energy peak (≈25 MeV/c FWHM) which we attribute primarily to nuclear charge exchange leading to final states in ⁷Be, ⁶Be, and ⁶He, respectively. By contrast, the ⁷Li(n,p) cross section at O° shows a broad weak high-energy peak believed due mostly to break-up processes. At 16°, the ^6,7Li(n,p) cross sections are dominated by quasi-elastic scattering.     

Calculation of Structures and Deexcitation Process of H2Mu+ Molecules

Energy levels, interparticle distances and dipole transition rates of H₂Mu⁺ molecules were calculated with the coupled rearrangement channel method. The structure of the ground state of H₂Mu⁺ is an isosceles triangle, while that of H₃ ⁺ is an equilateral triangle. The calculated dipole transition rates are small compared with the muon decay rate. This revised version was published online in August 2006 with corrections to the Cover Date.     

同质异能靶核的中子核反应计算

基于光学模型和带宽度涨落修正的Hauser-Feshbach理论编写了程序OMHFISO, 该程序适用于计算靶核处于同质异能态并且入射粒子能量小于5MeV的核反应, 入射粒子和出射粒子均可以是n,p,d,t,³He和⁴He 6种.迄今还很少有人计算过同质异能靶核的全套核数据.利用程序UNF, OMHFISO以及DWUCK4计算了不稳定同位素⁹⁰Rb和^{91,93,96,97,98}Y的同质异能靶核在入射粒子能量低于20.0MeV的全套中子反应数据, 并且得到了合理的结果.     

Fusion cross section for the system6Li+28Si atE ∼ 36 MeV

The fusion cross section for the system⁶Li+²⁸Si has been measured atE∼36 MeV. Combining this with the data available at lower energies, the nucleus-nucleus real potentials have been determined for a range of interaction distances.     

中能中子与58Ni反应的理论计算

在中子与⁵⁸Ni反应的总截面、去弹性散射截面和弹性散射角分布的实验数据基础上, 获得了入射中子能量从0.825—150MeV的一组普适的中子与⁵⁸Ni反应的光学模型势参数. 利用光学模型、宽度涨落修正的Hauser-Feshbach理论、预平衡反应的激子模型和核内级联模型的中能核反应计算程序MEND, 计算了中子与⁵⁸Ni反应的所有截面、角分布和能谱, 并将理论计算结果与实验数据和评价数据进行了分析比较.