应用原子核的宏观–微观模型研究远离稳定线核的性质

应用原子核的宏观－微观模型研究远离稳定线核的性质，得到了一些结果，例如质子和中子滴线，质子和中子密度分布及其均方根半径和中子皮厚度随同位素位移的变化．对一些奇异核性质的计算结果同相对论平均场方法计算的结果作了比较，对质子滴线附近核的质子放射性也作了简要讨论．     

应用原子核的宏观－微观模型研究远离稳定线核的性质

应用原子核的宏观－微观模型研究远离稳定线核的性质，得到了一些结果，例如质子和中子滴线，质子和中子密度分布及其均方根半径和中子皮厚度随同位素位移的变化．对一些奇异核性质的计算结果同相对论平均场方法计算的结果作了比较，对质子滴线附近核的质子放射性也作了简要讨论．     

中子及中子分布弥散度对核势的影响

用能量密度公式及小液滴模型给出的费米密度分布,并引入中子皮及中子分布弥散度随中子过剩自由度增加而增加这一因素,计算了重离子反应相互作用势及熔合位垒.熔合位垒的计算值和实验值符合很好,特别是在中重核区域,改善了以前的计算结果.详细研究了亲近势标度,发现用中子皮及中子分布弥散度的变化能较好地解释中子过剩自由度对亲近势标度偏离的影响.     

中能重离子周边反应产物的同位素分布与中子皮、激发能的关系

对中能重离子周边反应产物的同位素分布与中子皮、激发能的关系进行了研究.在同位素分布计算中考虑了小液滴模型预言的中子皮厚度的影响,并加入了中能区经验的耗散计算方法,拟合了中能⁴⁰Ar和⁸⁶Kr炮弹产生的同位素分布.     

基于原子核密度的核电荷半径新关系

从核质量出发系统地研究核电荷半径,进而得到核电荷半径的计算值和预言值.运用AME2020数据库结合CR2013数据库得到已知质量且已知半径的原子核(Z,N≥8) 884个,计算得到884个原子核密度.研究原子核密度得到常参数经验公式,利用此经验公式结合AME2020数据库得到核电荷半径的计算值与实验值之间的均方根误差σ=0.093 fm.考虑到中子数对原子核密度的影响,添加了中子因子1/N进行修正,均方根误差减少为0.047 fm.再添加中子壳层效应进行修正,均方根误差减小至0.034 fm.基于修正后的经验公式结合AME2020数据库得到Z,N≥8的1573个核电荷半径预言值,其中一些预言值与近些年测得实验值的对比结果说明利用此关系得到的预言值具有一定的意义.此外,剔除一些特殊的壳层后,剩余791个核电荷半径常参数经验公式计算值的均方根误差为σ=0.063 fm,修正后降至σ=0.032 fm.研究结果表明本文提出的核电荷半径关系具有一定的简便性和可靠性,可以与A^1/3律和Z^1/3律修正后的全局核电荷半径关系相媲美.最后,本文又引入Leve...     

单粒子势模型下价核子的密度分布

依据实验事实，利用单粒子势模型，计算了一些核态外层价核子的密度分布.计算给出了价核子在核外部分布的概率和贡献，以此作为晕核态的判断标准.通过研究均方根半径随结合能变化的规律，指出了晕核态存在的条件，尤其是质子晕核态存在的条件.这些对判断和寻找晕核态有现实的指导意义. 关键词： 单粒子势模型 价核子 密度分布 中子晕核态 质子晕核态     

丰中子奇异核17B的实验研究

在兰州重离子加速器国家实验室(HIRFL)放射性次级束流线(RIBLL)上,用束流透射法测量了丰中子奇异核¹⁷B与C靶反应的总截面.假定¹⁷B具有¹⁵B(核芯)＋2n结构,采用Gauss＋HO形式的密度分布和零力程Glauber模型进行计算的结果可以很好地拟合实验数据,并得出¹⁷B的密度分布有一个很大的弥散,表明¹⁷B是双中子晕核. 关键词： 丰中子奇异核 反应总截面 Glauber模型 密度分布     

中能重离子周边反应产物的同位素分布与中子皮、激发能的关系

对中能重离子周边反应产物的同位素分布与中子皮、激发能的关系进行了研究。在同位素分布计算中考虑了小液滴模型预言的中子皮厚度的影响,并加入了中能区经验的耗散计算方法,拟合了中能~(40)Ar和~(86)Kr炮弹产生的同位素分布。     

利用BUU模型研究11Li的核反应总截面和双中子剥去截面

发展了BUU模型,能够同时研究双中子晕结构核¹¹Li引起反应的核反应总截面和双中子剥去截面,计算中使用软的核物质状态方程和0.8倍的核子–核子碰撞截面,同时还用相对论平均场模型计算的中子和质子密度代替通常使用的方密度分布,计算结果可以很好地拟合不同反应系统的实验数据,假定对于晕核及其核芯核,彼此的核反应总截面与相互作用截面之间的差别相同,那么¹¹Li的双中子剥去截面可以表示成”Li及其核芯核⁹Li引起反应的核反应总截面之差,研究结果表明这一假定可以适用于高能,对于中能核反应需要更多的实验数据来检验.     

核半径的弥散效应和形变效应

本文采用Yukawa折迭型密度分布函数, 在计及椭球形变和四面对称体形变的情况下给出了核电荷半径的计算公式. 对55种元素148个核素所作的计算表明, 计算值与实验值之间的总体偏差为0.034fm, 与参数较多的小液滴模型结果相近; 且可克服Z^1/3律在解释某些跨过大壳的同位素系列核半径变化时所遇到的困难. 本文还通过分析不同核素之间核表面宽度的涨落与中子壳层结构的关系, 解释了同位素核半径的精细结构.     

A possible experimental observable for the determination of neutron skin thickness

The dependence between neutron skin thickness and neutron abrasion cross section （σnabr） for neutron-rich nuclei is investigated within the framework of the statistical abrasion ablation model. Assuming that the density distributions for proton and neutron are of Fermi-type, and adjusting the diffuseness parameter of neutron density distribution in the droplet model, we find out the good linear correlation between the neutron skin thickness and the abrasion cross section σnabr for neutron-rich nuclei. The uncertainty of neutron skin thickness determined from σnabr is very small. It is suggested that σnabr can be used as a new experimental observable to extract the neutron skin thickness for neutronrich nucleus. The scaling behaviours between neutron skin thickness and σnabr, separately, for isotopes of ^26-35Na, ^44-56Ar, ^48-60Ca, ^67-78Ni are also investigated.     

A new probe of neutron skin thickness

The correlation between neutron-to-proton yield ratio (R<,n p>) and neutron skin thickness (δ<,n p>) in neutron-rich projectile induced reactions is investigated within the framework of the Isospin-Dependent Quantum Molecular Dynamics (IQMD) model. The density distribution of the Droplet model is embedded in the initialization of the neutron and proton densities in the present IQMD model. By adjusting the diffuseness parameter of neutron density in the Droplet model for the projectile, the relationship between the neutron skin thickness and the corresponding R<,n p> is obtained. The results show strong linear correlation between R<,n p> and δ<,n p> for neutron-rich Ca and Ni isotopes. It is suggested that R<,n p> may be used as an experimental observable to extract δ<,n p> for neutron-rich nuclei, which is very interesting in the study of the nuclear structure of exotic nuclei, the equation of state (EOS) of asymmetric nuclear matter and neutron-rich matter in astrophysics, etc.     

Skyrme–Hartree–Fock方法对Ca同位素基态性质的研究(Ⅱ)中子晕、中子皮与经典禁区内粒子

用Skyrme-Hartree-Fock模型研究了Ca同位素的纯中子物质的厚度和经典禁区内粒子数随同位旋的变化.定义了零粒子半径和单粒子半径,并用这两种半径定义方法研究纯中子物质厚度后发现:纯中子物质的厚度明显地受到壳结构的影响,零粒子半径和单粒子半径是探讨中子晕比较合适的物理量.经典禁区内质子数和中子数的差别可以作为定义中子晕或中子皮的指标.     

双中子集团结构研究进展

回顾了晕核发现以来双中子集团结构的研究进展,分析了可能的发展方向。系统的理论研究表明, 在原子核的表面和低密度核物质中, 空间紧密关联的2n集团的出现是一个普遍的现象。 但在较重原子核表面出现2n集团的机制与核物质或轻晕核中的机制很不一样, 前者是由有限核的平均场造成的尺度效应（size effect）,而后者主要是由低密度下对相互作用（或对能隙）的增强造成的。另外,在轻晕核或有限核表面,2n集团的均方根半径与它们到核芯的距离（或背景密度）有关,最小值普遍可以达到2～3 fm,然而在核物质中2n集团最小只能到～5 fm。 实验方面,在重靶上的库仑激发强度, 能够比较准确地给出2n系统到核芯的平均距离。 但到目前为止尚没有有效的实验方法给出基态中两个中子之间的间距, 主要原因是中子发射过程中末态相互作用（共振态或虚粒子态）造成的两步过程的干扰, 这个问题在库仑激发破碎（重靶）或核作用破碎（轻靶）中都出现。“拖出”反应和敲出核芯反应是下一步可以考虑的路径。 双中子的关联测量通常效率比较低,尤其是需要有效排除中子串扰(CT)事件。为此, 需要发展特殊设计的中子关联测量装置, 在提高探测效率的同时,能够通过运动学关系以及其他方法有效排除中子CT信号。 在数据处理阶段,通过反复迭代给出的双中子关联函数, 经验证明是比较有效的关联状态表达方式, 从中可以直接提取出双中子分布均方根半径。 This article outlines the progress in the study of the di neutron structure in various systems. Systematic theoretical investigations reveal that di neutron structure is a general phenomenon appeared at nucleus surface and in low density nuclear matter. But the underline mechanism of forming di neutron clusters at the surface of heavier nuclei is quite different to that for light halo nuclei or at the low density nuclear matter, with the former being basically due to the so called “size effect” and the latter due to the enhanced pairing interaction. It is also realized that the RMS radii of the di neutron cluster at the surface of light halo nuclei or heavier finite nuclei varies with the distance from the center of nuclei (or background density) and may attain a minimum of about 2～3 fm, whereas that in the low density nuclear matter may only attain about 5 fm. From experimental side, Coulomb excitation caused by heavy targets provides a good way to extract the mean distance from the center of the neutron pair to the center of nucleus. But up to now it is still difficult to experimentally determine the distance between the two valence neutrons, due primarily to the final state interactions which lead to two step emission of neutrons via resonances or virtual intermediate states. This problem happens in both Coulomb and nuclear breakup processes. Possible ways to avoid this problem might come from experiments based on “towing mode” or core knockout reactions. Detection of two neutrons in coincidence often suffers from low efficiencies and the need to reject the cross talk events. Therefore it is important to develop specially designed multi neutron detection array to achieve high efficiency as well as good cross talk rejection performance using kinematics conditions. For data analysis, it was found that two neutron correlation function generated by iteration method is a good expression of the correlation situation, from which the RMS radii of the two neutron distribution may be deduced.     

晕核反应总截面和密度分布

利用考虑了量子修正、库仑修正、核子–核子碰撞同位旋效应和假定有效原子核密度分布后得到的改进的Glauber理论,计算了晕核与稳定核反应总截面,研究了晕核结构对反应总截面的影响.结果发现对于¹¹Be,¹⁴Be和¹¹Li等入射核,必须考虑它们的晕核结构和利用自由的核子–核子碰撞截面才能得到与实验符合的反应截面,并可依据反应总截面来确定晕核的密度分布和均方半径等信息.     

Exploring nuclear symmetry energy with isospin dependence in neutron skin thickness of nuclei

We propose an alternative way to constrain the density dependence of the symmetry energy from the neutron skin thickness of nuclei which shows a linear relation to both the isospin asymmetry and the nuclear charge with a form of Z^2/3. The relation of the neutron skin thickness to the nuclear charge and isospin asymmetry is systematically studied with the data from antiprotonic atom measurement, and with the extended Thomas-Fermi approach incorporating the Skyrme energy density functional. An obviously linear relationship between the slope parameter L of the nuclear symmetry energy and the isospin asymmetry dependent parameter of the neutron skin thickness can be found, by adopting 70 Skyrme interactions in the calculations. Combining the available experimental data, the constraint of -20 MeV L 82 MeV on the slope parameter of the symmetry energy is obtained. The Skyrme interactions satisfying the constraint are selected.     

放射性束装置给核结构研究带来的新机遇

利用放射性束装置所提供的高强度和高分辨率的短寿命核束流可达到核中质比的极端值 ,新的现象 ,如中子晕、质子晕、中子皮、质子皮、壳的减弱或消失 ,以及在滴线附近对力的重要性和核物质中质子 -中子对的新超导相的可能存在等不断涌现 .对这些现象进行研究和理解 ,然后回到实验上较易达到的稳定区核去检验人们的理解 ,会对进一步研究核结构、核合成、核天文和自然界基本对称性提供新的机遇 .By making use of the facility for radioactive beams which would be able to supply intense high resolution beams of short lived (radioactive) nuclei, the neutron proton ratio can be extended to extreme values, where some new phenomena such as neutron halo, proton halo, neutron skin, proton skin, growing evidence of the fragility or disappearance of shell structure far from stability, the importance of pairing correlation near drip line, and the possible existence of new superconducting phases of...     

中子皮厚度测量探针对核物质状态方程的依赖性

利用同位旋相关的量子分子动力学模型模拟了 4He + 208 Pb的碰撞反应,发现中子质子产额比与 208 Pb的中子皮之间存在很好的线性关联,中子质子产额比可以作为中子皮厚度测量的一个探针。选取量子分子动力学模型中核物质状态方程的两套不同势参数进行模拟,通过对比发现,中子皮的厚度测量探针中子质子产额比对核物质状态方程中选择软势和硬势非常敏感,相同反应条件下,软势比硬势计算所得的中子质子产额比要低。无论选择何种状态方程参数,中子质子产额比与中子皮之间都存在线性关联。The reaction system of 4He + 208Pb has been simulated by Isospin-dependent Quantum Molecu-lar Dynamics (IQMD) mode and it was found that the neutron-to-proton yield ratio (Rnp) has a good linearrelationship with the neutron skin thickness of 208Pb. Therefore Rnp could be taken as a probe of neutron skin thickness of 208Pb. Using two sets of parameters for the nuclear equation of state (EOS) in IQMD model, it shows that Rnp is sensitive to nuclear equation of state. The calculation results of Rnp with the soft EOS is lower than the hard EOS. No matter which kind of EOS parameter has been chosen, however, Rnp holds a good linear correlation with the neutron skin thickness.     

11Be的能级翻转与它的平均场

讨论了单中子晕核¹¹Be的能级翻转现象,指出晕核的单中子分离能S_n与基态单中子的势阱内位置D_g之间存在明显差别.通过引进一种新的势阱——双MWS(Modified Woods-Saxon)势,首次在平均场的层次上再现了¹¹Be中2s_1/2轨道与1p^1/2轨道的翻转现象,而不再需要考虑当前普遍认为的组态混合解释.由此认为,奇中子晕核中的能级次序翻转,反映了其平均场与稳定核的相比较存在着显著的差异,从而导致晕核体系反常壳结构的出现.     

Nuclear structure near the drip line studied by RNB

The use of radioactive nuclear beams (RNB) has provided an opportunity to study nuclei far from the stability line. Reaction studies using intermediate and high-energy (30–1000 AMeV) radioactive beams have revealed new structures of nuclei that are not seen in nuclei near to the stability line [1]. One such new structure is the neutron halo, a long low-density tail of the neutron distribution [2]. It has been observed in neutron drip-line nuclei, such as⁶He,¹¹Li and¹¹Be. The neutron halo has put light on many new structure problems. Among those, recent studies of a softE1 mode, a low-frequency oscillation of halo neutrons against the core, are discussed in the following section in connection with a recent (p, p′) reaction measurement [3]. Also, the effect of changes in single-particle orbitals on halo formation is discussed [4]. Another new finding is the formation of neutron skins in neutron-rich unstable nuclei [5]. The relation between the equation-of-state (EOS) of asymmetric nuclear matter and the neutron-skin thickness as well as the density distribution of nuclei far from the stability line is discussed in the last section.