用QMD模型研究晕核11Be+208Pb的熔合机制

通过用QMD模型研究晕核¹¹Be+²⁰⁸Pb的近垒熔合反应,发现晕核引起的熔合反应中,并存着两种相互竞争的机制:一方面当入射晕核¹¹Be靠近靶核时,由于¹¹Be是弱束缚体系,与靶核的相互作用可使其很容易破裂或少数核子被靶核俘获形成核子转移反应,从而对于熔合表现出压制;另一方面当¹¹Be的少数中子进入靶核并与靶核相互作用而使得靶核有些激发,而使局部半径增大,导致熔合势垒降低,熔合截面增强.用QMD模型计算出的熔合截面与实验值基本符合,垒附近表现出增强效应.     

用QMD模型研究晕核 11 Be+208Pb的熔合机制

通过用QMD模型研究晕核^11Be ^208Pb的近垒熔合反应,发现晕核引起的熔合反应中,并存着两种相互竞争的机制：一方面当入射晕核^11Be靠近靶核时,由于^11Be是弱束缚体系,与靶核的相互作用可使其很容易破裂或少数核子被靶核俘获形成核子转移反应,从而对于熔合表现出压制;另一方面当^11Be的少数中子进入靶核并与靶核相互作用而使得靶核有些激发,而使局部半径增大,导致熔合势垒降低,熔合截面增强。用QMD模型计算出的熔合截面与实验值基本符合,垒附近表现出增强效应。     

25MeV/u6He+9Be反应的轻粒子发射

在25MeV/u ⁶He与⁹Be靶的反应中,107°和128°处明显地观察到了轻粒子发射.粒子能谱形状与平衡热源蒸发相一致,分析得到热源的核温度为完全熔合条件下的5.6MeV或非完全熔合条件下的5.2MeV .实验发现发射氚的数量特别大,这可能与目前广泛研究的⁶He的集团结构和同位旋效应有关.     

16O+65Cu反应的全熔合与非完全熔合

在45—96MeV ¹⁶O和⁶⁵Cu反应中,用放射化学技术测量了反应余核的激发函数、角分布和微分射程分布.将实验数据和基于复合核统计蒸发模型的Monte-Carlo模拟计算进行了比较,指出重余核来自全熔合形成的复合核的衰变.提取了该系统的全熔合截面,得到的激发函数与理论计算结果相符合.非完全熔合或大质量转移是生成质量数接近靶质量余核的主要生成机制.     

超重核熔合中的靶核形变效应

利用额外推力模型研究了⁴⁸Ca+²³⁸U俘获和熔合过程中的靶核形变效应.计算表明,在近垒和垒下能区,靶核形变使俘获截面和熔合截面增强,形成的复合核自旋分布展宽.     

在33.4MeV/u 17N与9Be反应中中子发射的起源

在不同角度测得的33.4MeV/u ¹⁷N+⁹Be反应中,发射中子的能谱具有复杂的形式,而且随着角度的增大显示出有规律的变化.发射中子至少来源于靶弹核间的核子–核子碰撞、¹⁷N的破裂反应以及熔合热核的统计蒸发三种不同起源.分析结果表明:反应体系三种起源的发射中子截面分别为4.49,0.44和5.5b.     

中子分布弥散度对反应总截面的影响

在引入库仑场修正的Glauber模型基础上,区分入射弹核和靶核中的中子、质子,并考虑有限力程相互作用,发展了一个计算核反应总截面的微观修正模型.如果引入一个核内中子分布弥散度随中子分离能的变化关系,则能较好地解释奇异核(如⁸He,¹¹Li,¹¹Be)反应总截面的反常增加.同时,该修正模型还能在低能到高能的范围内较好地拟会稳定核的反应总截面.     

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.     

近垒能区6Li+208Pb熔合激发函数测量

测量了6Li+208Pb熔合反应近垒能区全熔合截面,并与考虑非弹道耦合和不考虑耦合的CCFUS程序计算做了比较. 结果表明在垒上能区,破裂使熔合截面减小,在垒下能区,破裂对熔合截面的影响基本上可以忽略.     

轻丰中子核反应中子集团产生截面的理论研究

采用Boltzmann-Langevin方程研究了能量为35MeV/u的¹⁴Be, ⁸He,⁶He,¹¹Li,¹⁷B,¹¹Be,¹⁹C与¹²C靶的反应,计算了产生中子集团的截面, 发现^14,Be与¹²C靶反应产生⁴n的截面与实验值符合得很好. 通过这几个入射核与¹²C靶形成中子集团截面的对比, 发现核的晕中子越多产生中子集团的截面越大, 晕中子数相同时, 质量数越大产生中子集团的截面越大.中子集团可能主要来自晕核子.     

Partial fusion of a weakly bound projectile with heavy target at energies above the Coulomb barrier

Partial-fusion cross-sections for the systems ⁶Li + ²⁰⁸Pb, ⁹Be + ²⁰⁹Bi have been determined. The effect of breakup on fusion for weakly bound projectiles ⁶Li and ⁹Be incident on ²⁰⁸Pb or ²⁰⁹Bi targets has been discussed comparing experimental fusion cross-section excitation functions to those evaluated with a semi-classical approach. It is shown that complete fusion of a weakly bound projectile with heavy target is reduced, whereas the breakup process has very little influence on the total-fusion cross-section for some of the studied systems at energies above the Coulomb barrier.     

弱束缚原子核引起的熔合反应机制研究

弱束缚原子核引起的熔合反应机制研究是近几十年中实验核物理研究的重要课题之一。相比于放射性核束,加速器提供的稳定弱束缚原子核束流的强度要高几个数量级,利用稳定弱束缚原子核作为弹核进行反应机制的研究,可以在保证统计性和准确性的基础上,深入研究原子核的破裂、转移等反应道对熔合过程的耦合作用。已有很多实验数据表明,在库仑位垒附近,弱束缚原子核引发的熔合反应有很多有趣的现象,例如完全熔合截面的“垒下增强”和“垒上压低”。本文主要回顾近年来弱束缚原子核“垒上压低”的研究结果,并探讨造成“垒上压低”的可能原因。完全熔合截面“垒上压低”的主要原因是弱束缚原子核在进入熔合位垒之前发生破裂,从而降低了完全熔合反应道的入射通量。同时,实验研究表明完全熔合截面压低的程度可能与靶核质量数以及靶核结构相关。目前,在实验上对弱束缚原子核引起的熔合反应研究主要有3种测量方法,分别为$\gamma$射线测量方法、带电粒子测量方法以及带电粒子-$\gamma$射线符合测量的方法。其中,带电粒子-$\gamma$射线符合测量的方法在反应道鉴别方面具有明显的优势。本文对这3种测量方法进行了概要介绍,并就国内外对运用这3种方法开展的研究进行了介绍,包括本研究组在此方面的研究工作。此外,对弱束缚原子核引起的熔合反应近期在理论方面的研究工作也做了些介绍。     

Relating breakup and incomplete fusion of weakly bound nuclei through a classical trajectory model with stochastic breakup

A classical dynamical model that treats breakup stochastically is presented for low energy reactions of weakly bound nuclei. The three-dimensional model allows a consistent calculation of breakup, incomplete, and complete fusion cross sections. The model is assessed by comparing the breakup observables with continuum discretized coupled-channel quantum mechanical predictions, which are found to be in reasonable agreement. Through the model, it is demonstrated that the breakup probability of the projectile as a function of its distance from the target is of primary importance for understanding complete and incomplete fusion at energies near the Coulomb barrier.     

Reactions with Weakly Bound Nuclei,at near Barrier Energies,and the Breakup and Transfer Influences on the Fusion and Elastic Scattering

We present a brief review of the reaction mechanisms involved in collisions of weakly bound projectiles with tightly bound targets, at near-barrier energies. We discuss systematic behaviors of the data, with emphasis in fusion, breakup, nucleon transfer and elastic scattering. The dependence of the breakup cross section on the charge and mass of the target is discussed, and the influence of the breakup channel on complete fusion is investigated. For this purpose, we compare reduced fusion cross sections with a benchmark universal curve. The behaviors observed in the comparisons are explained in terms of polarization potentials and of nucleon transfer followed by breakup. The influence of the breakup process on elastic scattering is also discussed. Some apparent contradictions between results of different authors are explained and some perspectives of the field are presented.     

Role of Barrier Modification and Nuclear Structure Effects in Sub-Barrier Fusion Dynamics of Various Heavy Ion Fusion Reactions

The role of barrier modifications and the relevant nuclear structure effects in the fusion of the \( {}_8{}^{16}O+{}_{62}{}^{144,148,150,152,154}Sm \) and \( {}_3{}^{6,7}Li+{}_{62}{}^{152}Sm \) systems is analyzed within the context of the energy-dependent Woods-Saxon potential model (EDWSP model) and the coupled channel model. For the \( {}_8{}^{16}O+{}_{62}{}^{144,148,150,152,154}Sm \) reactions, where the colliding pairs are stable against breakup, the collective excitations and/or static deformations are sufficient to account for the observed fusion enhancement. In contrast, the model calculations overpredict the complete fusion data at above - barrier energies for the \( {}_3{}^{6,7}Li+{}_{62}{}^{152}Sm \) systems, where the importance of projectile breakup effects has been pointed out. Due to the low threshold of the alpha-breakup channel, the weakly bound projectiles \( \left({}_3{}^{6,7}Li\right) \) break up into charged fragments before reaching the fusion barrier and consequently the complete fusion cross section is suppressed by 28% (25%) in the \( {}_3{}^6Li+{}_{62}{}^{152}Sm\;\left({}_3{}^7Li+{}_{62}{}^{152}Sm\right) \) reaction with respect to predictions of coupled channel calculations. However, the EDWSP model based calculations can minimize the suppression factor by as much as of 13% (8%) in the \( {}_3{}^6Li+{}_{62}{}^{152}Sm\;\left({}_3{}^7Li+{}_{62}{}^{152}Sm\right) \) reaction with reference to the predictions made by the coupled channel calculations. Therefore, the complete fusion data of the \( {}_3{}^6Li+{}_{62}{}^{152}Sm\;\left({}_3{}^7Li+{}_{62}{}^{152}Sm\right) \) reaction at above - barrier energies is reduced by 15% (17%) with respect to the expectations of the EDWSP model. The extracted suppression factors for the studied reactions are due to the modifications of the barrier profile as a consequence of the energy - dependence in nucleus-nucleus potential, and thus greater barrier modifications occur for more weakly bound system, which in turn, confirms the breakup of projectile in the incoming channel.     

X‐ray spectrometry: a powerful tool for the measurement of complete fusion of weakly bound nuclei

We describe how the method of detection of delayed K x‐rays produced by the electron capture decay of the residual nuclei can be a powerful tool in the investigation of the effect of the breakup process on the complete fusion (CF) cross‐section of weakly bound nuclei at energies close to the Coulomb barrier. This is presently one of the most interesting subjects under investigation in the field of low‐energy nuclear reactions, and the difficult experimental task of separating CF from the incomplete fusion (ICF) of one of the breakup fragments can be achieved by the x‐ray spectrometry method. We present results for the fusion of the ⁹Be + ¹⁴⁴Sm system. Copyright © 2008 John Wiley & Sons, Ltd.     

Angular momentum and cross sections for fusion with weakly bound nuclei: breakup,a coherent effect

Results for the cross section and average angular momentum for complete fusion at energies around the Coulomb barrier are presented for 7Li with 165Ho. Comparison of the cross sections with a one-dimensional barrier penetration model, using a potential consistent with the measured elastic scattering, showed a reduction above the barrier and an enhancement below it. An increase in the measured average angular momentum, , above the barrier and its consistency with that obtained from the fusion excitation function for weakly bound nuclei, is reported. These results together with a reanalysis of existing data conclusively demonstrate that the effect of breakup on fusion is coherent, like coupling to any nonelastic channel.     

Near-barrier fusion, breakup and scattering for the Be + Sm system

Fusion, breakup and scattering for the ⁹Be + ¹⁴⁴Sm system at near barrier energies are investigated by different approaches. We show that at energies above the barrier there is a small complete fusion suppression when compared with predictions from a double folding potential and with a similar tightly bound system. At sub-barrier energies there is no significant deviation from the predictions using coupled channel calculations that do not include the breakup channel. The energy dependence of the optical potential does not show the usual threshold anomaly found in tightly bound systems. From a simultaneous analysis of fusion and scattering data we estimate the distance where breakup starts to occur.     

Fusion of weakly bound projectiles around the Coulomb barrier

The effect of breakup of weakly bound projectiles on fusion is studied using two approaches. The first approach based on the coupled discretised continuum channel (CDCC) formalism is used for ¹¹Be+²⁰⁸Pb, while the second one based on the two-centre shell model (TCSM) is used for ⁹Be+²⁰⁹Bi, ⁶⁴Zn. The CDCC approach describes the breakup in terms of inelastic excitations of the projectile to the continuum, while the breakup is described by molecular single-particle effects in the TCSM approach.     

Fusion-fission of light nuclear systems

Considerable interest has been devoted to fusion reactions between light heavy ions specially between weakly bound ones, due to the anomalous decrease of the fusion cross sections when compared to the total reaction cross section in the energy region around the barrier [1–4]. While the exact nature of the process responsible for the fusion cross section limitation at barrier energies is still unclear, this study shows an inhibition of the yield as the system mass decreases, resulting from the progressive increase of the barrier height and decrease of the effective barrier radius [3]. Furthermore, extensive efforts have been made recently in the study of energy-damped binary yields from light heavy-ion collisions [2,4]. Based on the substantial amount of data accumulated so far, it is now generally accepted and supported by the transition state model [4], that the observed yields arise mostly from a fusion-fission process. Data on complete fusion, fusion-fission and ‘elastic fission’ for the ⁹Be, ^10,11B+^10,11B; ^16,17,18O + ^10,11B; ¹⁹F+¹²C; ^6,7Li+⁹Be, ¹²C reactions among others, are presented. For the loosely bound nuclei it was found that the severe fusion cross section limitation is due to a low survival probability of the weakly bound nuclei until the instant of the collision [1].