采用双核模型研究超重核合成机制

本文首先介绍了两种描述低能重离子核反应的理论,然后基于这些理论发展了一个描述超重核合成的理论模型,即双核模型(dinuclear system model)。不同于Adamian 的处理,本文的模型采用数值求解主方程的方法来描述重离子的熔合过程,重点讨论了熔合过程中主方程的发展演化,选择一维至三维不同的宏观自由度说明重离子熔合机制,为今后进一步发展模型与预言新核素提供理论依据。     

双核模型下超重核117的生成截面研究

Within the framework of the dinuclear system model, the capture of two colliding nuclei, and the formation and de-excitation process of a compound nucleus are described by using an empirical coupled channel model, solving the master equation numerically and the statistical evaporation model, respectively. In the process of heavy-ion capture and fusion to synthesize superheavy nuclei, the barrier distribution function is introduced and averaging collision orientations are considered. Based on this model, the production cross sections of the cold fusion system ^76-82Se＋^209Bi and the hot fusion systems ^55Mn＋^238U, ^51V＋^244pu, ^59Co＋^232Th, ^48Ca＋^247-249Bk and ^45Sc＋^246-248Cm are calculated. The isotopic dependence of the largest production cross sections is analyzed briefly, and the optimal projectile-target combination and excitation energy of the 1n-4n evaporation channels are proposed. It is shown that the hot fusion systems ^48Ca＋^247-249Bk in the 3n evaporation channels and ^45Sc＋248Cm in the 2n-4n channels are optimal for synthesizing the superheavy element 117.     

不同理论模型预言合成超重核Z=119~122研究进展

通过双核系统模型与其他模型对$Z\leqslant$118元素的计算结果与实验数据的比较,证明了不同模型预测超重核的产生截面是可靠的。对比分析了不同模型对Z=119和Z=120超重核的预言结果,我们认为合成超重核Z=119和Z=120的最佳弹靶组合分别为反应$^{48}{\rm{Ca}} + ^{{\rm{252}}}{\rm{Es}}$和$^{40}{\rm{Ca}} + ^{{\rm{257}}}{\rm{Fm}}$,并且Z=119新核素很有可能会先于Z=120新核素在实验上被合成。由于实验上Z>100锕系靶的限制,人们正尝试寻找比48Ca更重的弹核来合成超重核Z=121和Z=122,超重核Z=121可以通过反应V+Cf来合成,而超重核Z=122的产生截面已经非常小,要求将来在实验上提高探测及鉴别技术。希望本文的讨论可以在将来为实验及理论核物理工作者们提供一些参考。     

热熔合反应合成超重核产生截面的同位素依赖性

通过在形成超重核的重离子俘获和熔合过程中引入位垒分布函数的方法对双核模型做了进一步发展. 超重核形成过程中的俘获、熔合和蒸发3个阶段分别采用了半经验的耦合道模型、数值求解主方程和统计蒸发模型的方法来描述. 计算了近年来Dubna小组利用热熔合反应⁴⁸Ca(²⁴³Am, 3n—5n)^288—286115和⁴⁸Ca(²⁴⁸Cm, 3n—5n)^293—291116合成超重新核素的蒸发余核激发函数. 系统分析了⁴⁸Ca轰击锕系元素U,Np,Pu,Am,Cm合成超重核Z=112—116产生截面的同位素依赖性. 给出了合成超重新核素最佳的弹靶组合和入射能量, 即有最大的超重核产生截面. 计算说明, 壳修正能和中子分离能是影响超重核生成截面产生同位素依赖性的主要因素.     

重离子碰撞中超重核的形成机制(英文)

在双核模型框架下,用数值解主方程方法计算了超重核的熔合几率。 明确描述了包含能量、角动量和碎片形变弛豫的相对运动,并与核子扩散过程相耦合。因此,用微观方法推导出的核子跃迁几率是与时间相关的。所计算的以Pb为靶的冷熔合超重核形成截面和以48Ca为弹核的热熔合超重核形成激发函数与已知的实验值在合理的范围内符合。In the dinuclear system conception, the master equation is solved numerically to calculate the fusion probabilities of super heavy nuclei. The relative motion concerning the energy, the angular momentum and the fragment deformation relaxations is explicitly treated to couple with the diffusion process. The nucleon transition probabilities, which are derived microscopically, are related with the energy dissipation of the relative motion, thus they are time dependent. The formation cross sections of the super heavy nuclei from Pb based cold fusion and excitation functions from 48Ca induced hot fusion are reasonably consistent with known experimental data.     

基于双核模型对超重元素合成机制的研究

在双核模型基础上，考虑了熔合与准裂变的竞争，通过数值法求解主方程，计算了⁵⁰Ti，⁵⁸Fe+²⁰⁸Pb，²⁰⁹Bi这4个反应系统通过冷熔合反应合成超重元素的激发函数，得到了与实验比较符合的结果.计算了不同入射能量时各角动量分波对熔合概率和超重核存活概率的影响以及对蒸发剩余截面的贡献.这些结果对进一步理解超重核的合成机制有重要意义. 关键词： 超重元素 双核模型 熔合反应 蒸发剩余截面     

重离子熔合反应形成超重核的截面研究

在双核系统框架下,通过数值法解主方程计算了双核间的核子跃迁全熔合几率.两碰撞核内部激发能由相对运动能损提供,因此能够将核子转移过程与相对运动耦合起来.对一些以Pb为靶的形成超重核的冷熔合反应,计算了最佳激发能、形成双核系统的俘获截面、复合核形成几率及存活几率等,所得到的形成超重核蒸发剩余截面与已知实验值符合较好. In the concept of Dinuclear system (DNS) the complete fusion probability of two touch nuclei via nucleon transfer is described by numerically solving the Master equation. The excitation energy of two colliding nuclei is supplied by the energy dissipation of their relative motion, thus the nucleon transfer process and the relative motion are coupled. For Pb based cold fusion reactions to form super heavy nuclei, the optimal excitation energy, the capture cross section to form a DNS ...     

超重核的四面体对称性(英文)

基于反射不对称壳模型的投影位能面计算预言原子核310126 是继208Pb 之后的双幻核,其基态呈现出四面体形状。四面体对称性驱动的量子效应可以使基态的结合能,相较球形而言增加达13 MeV,这反映了在最重核的计算中,考虑四面体自由度的重要性。计算结果还表明,四面体对称性驱动的量子效应能够明显地增加裂变位垒,从而导致超重核合成几率的增加。     

合成Z=119, 120超重核的理论研究

合成Z=119,120超重核是当今各核物理实验室争相追逐的目标,理论预言可靠的弹靶组合、入射能等信息有助于超重核合成的实验设计和探测。本工作基于双核模型研究影响重离子核反应生成截面大小的反应机制,计算了$^{50}{\rm{Ti}}$+$^{249}{\rm{Bk}}$、$^{50}{\rm{Ti}}$+$^{249}{\rm{Cf}}$两个弹靶组合,预测$^{50}{\rm{Ti}}$+$^{249}{\rm{Bk}}$的生成截面为0.021 1 pb。考虑双核系统熔合与存活两个过程,重点关注$^{52-59}{\rm{Cr}}$+$^{243}{\rm{Am}}$、$^{54-62}{\rm{Mn}}$+$^{243}{\rm{Am}}$、$^{56-72}{\rm{Ni}}$+$^{238}{\rm{U}}$生成截面的同位素链依赖性,研究表明熔合几率随弹核质量数呈现强烈的依赖行为,直接影响蒸发剩余截面大小。     

基于熔合蒸发反应的超重新元素 Z = 119, 120的产生截面

We have calculated production cross sections of new superheavy elements with atomic number Z=119, 120 in the fusion-evaporation reactions of $^{48}{\rm{Ca}}$+$^{252}{\rm{Es}}$, $^{48}{\rm{Ca}}$+$^{257}{\rm{Fm}}$, $^{49}{\rm{Sc}}$+$^{252}{\rm{Es}}$, $^{49}{\rm{Sc}}$+$^{251}{\rm{Cf}}$, $^{50}{\rm{Ti}}$+$^{247}{\rm{Bk}}$, $^{50}{\rm{Ti}}$+$^{251}{\rm{Cf}}$, $^{51}{\rm{V}}$+$^{247}{\rm{Cm}}$, $^{51}{\rm{V}}$+$^{247}{\rm{Cf}}$, $^{54}{\rm{Cr}}$+$^{243}{\rm{Am}}$, $^{54}{\rm{Cr}}$+$^{247}{\rm{Cm}}$, $^{56}{\rm{Mn}}$+$^{244}{\rm{Pu}}$, $^{56}{\rm{Mn}}$+$^{243}{\rm{Am}}$, $^{60}{\rm{Fe}}$+$^{237}{\rm{Np}}$, $^{60}{\rm{Fe}}$+$^{244}{\rm{Pu}}$, $^{61}{\rm{Co}}$+$^{238}{\rm{U}}$, $^{61}{\rm{Co}}$+$^{237}{\rm{Np}}$, $^{64}{\rm{Ni}}$+$^{231}{\rm{Pa}}$, $^{64}{\rm{Ni}}$+$^{238}{\rm{U}}$, $^{65}{\rm{Cu}}$+$^{232}{\rm{Th}}$, $^{65}{\rm{Cu}}$+$^{231}{\rm{Pa}}$, and $^{68}{\rm{Zn}}$+$^{232}{\rm{Th}}$within the dinuclear system model systematically. The inner fusion barriers have been extracted from the driving potential and potential energy surface which could be used to predict the relative fusion probability roughly. The influence of mass asymmetry of the colliding partners on the production of new superheavy elements(SHE) has been investigated systematically. It is found that fusion probability increases along with the increasing mass asymmetry of colliding systems. The 46-50Ti-induced reactions prefer to produce new SHE with Z=119~120. The dependence of production cross-sections of new superheavy elements on the isospin of projectile nuclei has been discussed. The new SHE of $^{289-293}{\rm{119}}$ has been predicted as the synthesis cross sections around one picobarn in the $^{44,\, 46,\, 48,\, 50}{\rm{Ti}}$-induced reactions. Production cross-section of the element$^{295}{\rm{120}}$ has been evaluated as large as one picobarn in the reactions $^{46}{\rm{Ti}}$($^{251}{\rm{Cf}}$, 2n) $^{295}{\rm{120}}$ at $E^*$ = 26 MeV. The optimal projectile-target combinations and beam energies for producing new SHE with atomic number Z = 119~120 are proposed for the forthcoming experiments.     

Half-Lives of Superheavy Nuclei in Z=113 Alpha Decay Chain

The generalized liquid drop model （GLDM）, including the proximity effects and centrifugal potential, and the cluster model with Cosh potential are used to study the half-lives of some Z = 113 isotopes and their α-decay products. The experimental half-lives of 284^113, 283^113, 282^113 and their α-decay products are well reproduced by the two models when zero angular momenta transfer is assumed. For 278^113 and its α-decay products, both the GLDM and the duster model could provide satisfactory results if we assume the α particle carry five units of angular momenta, which indicates that possible nonzero angular momenta transfer and need further experimental measurements with high precision. Finally, we show that half-lives of α-decay are quite sensitive to the angular momentum transfers, and a formula could be used to describe the correlation between α-decay half-life and angular momentum transfer successfully.     

超重核266Hs形成截面的入射道依赖

计算和比较了²⁶Mg+²⁴⁴Cm, ²⁷Al+²⁴³Am和³²S+²³⁸U3个反应系统的俘获截面和复合核²⁷⁰Hs形成截面. 在俘获截面计算中, 考虑了靶核形变效应. 穿越库仑势垒后, 反应系统由熔合谷进入不对称裂变谷. 只有越过不对称裂变谷中的条件鞍点的事件才进入复合核组态. 我们用考虑中子流动和径向运动的二参量Smoluchowski扩散方程来处理中间阶段的动力学过程. 此外, 还计算了经4n蒸发形成超重核²⁶⁶Hs的截面. 研究表明, 入射道的势垒分布, 中间阶段的条件鞍点高度对俘获截面, 复合核形成几率, 以及最终的超重核形成截面有显著影响.     

Study of Alpha Decay Chains of Superheavy Nuclei and Magic Number Beyond Z = 82 and N = 126

We study various $\alpha $ -decay chains on the basis of the preformed cluster decay model. Our work targets the superheavy elements, which are expected to show extra stability at shell closure. Our computations identify the following combinations of proton and neutron numbers as the most stable nuclei: $Z=112$ , $N=161, 163$ ; $Z=114$ , $N=171, 178, 179$ ; and $Z=124$ , $N=194$ . We also investigate the alternative of heavy cluster emissions in the decay chain of ³⁰¹120, instead of $\alpha $ decay. Our study of cluster radioactivity shows that the half-life for ¹⁰Be decay in ²⁸⁹114 is larger, indicating enhanced stability at $Z=114$ , $N=175$ . Similar calculations concerning the emission of $\ ^{14}{\rm C}$ and $\ ^{34}{\rm Si}$ from ³⁰¹120 find the more stable combinations $Z=114$ , $N=173$ , and $Z=106$ , $N=161$ , respectively. From the same parent, ³⁰¹120, the emission of a $\ ^{49-51}{\rm Ca}$ cluster yielding a $Z=100$ , $N=152$ daughter is the most probable.     

A Detail Investigation on the Synthesis of Superheavy Element Z = 119

Physics of Particles and Nuclei Letters - We have studied the α-decay properties of superheavy nuclei Z = 119 in the range 265 ≤ A ≤ 316. By studying the α-decay properties,...     

N=Z原子核性质的研究

论述了N=Z核实验和理论研究的历史和现状在,N=Z,是研究T=0对关联最好的核区,实验表明T=0和n-p对关联起着重要的作用,理论研究知心朋友同时包括T=0和T=1的对关联,是研究它们之间竞争及相变。 The history and current status of the study of N=Z nuclei are reviewed. T=0 n p pairing correlation is expected to play an important role in the structure of the nuclei along N=Z line. Both T=0 and T=1 pairing modes should be included in the theoretical models. Phenomena like possible competition and phase transition between different pairing modes are becoming important issues in nuclear structure.     

基于相对论平均场理论对超重核冷熔合反应截面的研究

在形变约束的相对论平均场理论框架下计算了合成Z=102—118元素的(可能)冷熔合反应中复合核及蒸发一或两个中子剩余核的位能曲面,得到了复合核和剩余核平衡点和鞍点的性质、静态裂变垒高度和冷熔合反应的最佳入射能;利用壳修正和对修正方法计算了平衡点和鞍点的壳修正能、对修正能和微观能.利用由此得到的壳结构信息,用简单的熔合蒸发唯象模型计算了相应反应的冷熔合截面.结果发现,TM1参数提供的结构性质给出了与实验接近的反应截面.