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.     

超重核合成的同位素依赖探讨

利用二参量Smoluchowski方程计算了54Fe+204Pb,56Fe+206Pb,58Fe+208Pb冷熔合和32,34,36S+238U热熔合的复合核形成截面和蒸发残余截面, 结果清楚地显示出超重核合成截面随同位素的变化。 由于较低的入射道库仑位垒、 较低的不对称裂变谷中的条件鞍点和较小的中子分离能, 一般地说, 丰中子同位素的超重核形成截面明显增强。 The cross sections of the compound nucleus formation and e vaporation residue for the 54Fe+204Pb, 56Fe+206Pb, 58Fe+208Pb cold fusion and 32,34, 36S+238U hot fusion have been calculated by using a two parameter Smoluchowski equation. Our results clearly show the isotope dependence of superheavy nucleus production. The formation cross sections of the neutron rich isotope are, generally speaking, obviously enhanced due to the lower Coloumb barrier , lower height of the conditional saddle point, and smaller neutron separation energy.     

A Proposed Reaction Channel for the Synthesis of the Superheavy Nucleus Z=109

We apply a statistical-evaporation model (HIVAP) to calculate the cross sections of superheavy elements, mainly about actinide targets and compare with some available experimental data. A reaction channel ^30Si 4 ^243Am is proposed for the synthesis of the element Z=109 and the cross section is estimated.     

Possible Way to Synthesize Superheavy Element Z=117

Within the framework of the dinuclear system model, the production of superheavy element Z = 117 in possible projectile-target combinations is analysed systematically. The calculated results show that the production cross sections are strongly dependent on the reaction systems. Optimal combinations, corresponding excitation energies and evaporation channels are proposed, such as the isotopes^248.249 Bk in ^48 Ca induced reactions in 3n evaporation channels and the reactions ^45Sc＋246.248Cm in 3n and 4n channels, and the system ^51 V＋ 244pu in 3n channel.     

Synthesis of superheavy nuclei with <Superscript>238</Superscript>U target

The production of superheavy nuclei with Z=108-116 via hot fusion reactions of the neutron-rich projectiles with 238U target is systematically studied.The results show that the production cross sections of superheavy nuclei do not decrease monotonously as the atomic number Z increasing.The cross sections of the superheavy nuclei at Z = 112 and 115 are enhanced as compared with the whole Z-trend in synthesis of the superheavy nuclei,which clearly illustrates that the reactions with large negative Q-value and...     

超重元素合成反应机制研究

回顾了超重元素研究的现状和超重元素合成反应机制研究的发展,指出目前超重元素合成研究中存在的困难和对超重余核鉴别的一些设想.对近对称反应系统的熔合反应机制进行了较深入的讨论,建议对这类反应生成复合核的截面进行理论和实验上的研究.The status and development of the studies on reaction mechanism for synthesis of superheavy elements has been reviewed. In this paper it is pointed out the difficulties existing in the studies and synthesis of superheavy elements and some conceives for measurement and identification of very heavy residues. The fusion of near symmetric reaction systems is discussed and proposed to do more investigations on the fusion cross sections of these reactions on both theory and experiment.     

用反应48Ca+254Es合成119号元素的可能性研究

利用最近发展起来的两步模型分析重离子核反应48Ca+254Es 的熔合过程。在这个模型中,熔合过程被分为前后独立的两个过程,即粘连过程和形成过程。本研究组计算了对应的粘连概率和形成概率,并结合适用于蒸发过程的统计蒸发模型,计算了该反应合成119 号超重元素的剩余截面,即当Elab = 250:2 MeV时,得到最大剩余截面为0.7 pb。Two-step model is adopted to analyze the fusion process of heavy-ion reaction 48Ca+254 Es. Based on this model, the fusion process is divided into two consecutive steps, i.e., the sticking step and the formation step, and corresponding sticking probability and formation probability are calculated. Combining the statistical evaporation model for the evaporation stage, the maximum evaporation residue cross section for reaction 48Ca+254 Es is 0.7 pb at 4n, Elab =250.2 MeV.     

超重核合成理论模型简介

介绍并讨论了研究超重核合成的主要理论模型以及近年来在研究重核熔合机制和超重核合成理论模型方面的进展。 The theoretical models for investigating the fusion mechanism of heavy nucleus collisions and calculating the formation cross sections of superheavy nuclei have been introduced. The recent development and the present status for understanding the fusion mechanism of heavy nucleus collisions have been discussed.     

超重核合成中的靶核形变效应

利用额外推力模型研究了48Ca+238U超重核合成过程中的靶核形变效应.计算表明,在近垒和垒下能区,靶核形变使超重核合成截面明显增强.对于48Ca+238U反应,由于靶核形变蒸发残余截面增大了几倍.同时与球形靶核相比,形变靶核时蒸发残余激发函数的峰位移向较低能量.Effects of target deformation on the synthesis of superheavy nucleus~(283)112 are investigated in the framework of extra-push model. Our results show that the cross sections of the 3n evaporation residue in the~(48)Ca+~(238)U reaction for the case of β_2=0.275 are several times larger than those of β_2=0. Meanwhile, the peak position of ER excitation function in the case of deformed target is shifted to the lower energy as compared to the one of spherical target.     

Production cross sections of the superheavy nucleus 117 based on the dinuclear system model

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 func-tion 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,59 Co+232 Th,48 Ca+247-249 Bk and 45 Sc+246-248 Cm 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 ln-4n evaporation channels are proposed.It is shown that the hot fusion systems 48Ca+247 249Bk in the3n evaporation channels and 45Sc+248Cm in the 2n-4n channels are optimal for synthesizing the superheavy element 117.     

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。     

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.     

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.     

Formation of Superheavy Elements: Study Based on Dynamical Approach

Using multi-dimensional Langevin equations for the probability distribution of the distance between the surfaces of two approaching nuclei, we have studied the formation of superheavy elements via calculation of evaporation and fission cross sections of these elements. Evaporation residue cross sections have been calculated for the 1n, 2n, 3n, 4n, and 5n evaporation channels using one and four dimensional Langevin equations for the ⁴⁸Ca+²²⁶Ra, ²³²Th, ²³⁸U, ²³⁷Np, ^{239,240,242,244}Pu, ²⁴³Am, ^245,248Cm, ²⁴⁹Bk, and ²⁴⁹Cf reactions. Our results show that with increasing dimension of Langevin equations the evaporation residue cross section is increased. Also, obtained results based on fourdimensional Langevin are in better agreement with experimental data in comparison with one-dimensional model.     

通过48Ca+249Bk 合成Z=117的可能性研究

利用两步模型对可能合成 Z=117 的核反应48Ca+249Bk 进行了研究。模型将熔合过程分为弹靶接触前的粘连过程和从弹靶接触到形成复合核的形成过程。结合统计蒸发模型,计算了297117 蒸发数个中子的剩余截面。结果表明,在激发能 E* = 31 MeV且复合核蒸发3中子时的剩余截面最大为 0.34 pb ,已经可以用实验方法进行探测。     

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。     

New insights into the 243Am + 48Ca reaction products previously observed in the experiments on elements 113, 115, and 117

Results of a new series of experiments on the study of production cross sections and decay properties of the isotopes of element 115 in the reaction (243)Am+(48)Ca are presented. Twenty-one new decay chains originating from (288)115 were established as the product of the 3n-evaporation channel by measuring the excitation function at three excitation energies of the compound nucleus (291)115. The decay properties of all newly observed nuclei are in full agreement with those we measured in 2003. At the lowest excitation energy E*=33 MeV, for the first time we registered the product of the 2n-evaporation channel, (289)115, which was also observed previously in the reaction (249)Bk+(48)Ca as the daughter nucleus of the decay of (293)117. The maximum cross section for the production of (288)115 is found to be 8.5 pb at E*≈36 MeV.