Symmetry energy from neutron-rich fragments in heavy-ion collisions, and its dependence on incident energy, and impact parameters

The yields of fragments produced in the 60Ni+ 12C reactions at 80 A and 140 A MeV, and with maximum impact parameters of 1.5, 2 and 7.3 fm at 80 A MeV are calculated by the statistical abrasion-ablation model. The yields of fragments are analyzed by the isobaric yield ratio (IYR) method to extract the coefficient of symmetry energy to temperature (asym/T ). The incident energy is found to influence asym/T very little. It’s found that asym/T of fragments with the same neutron-excess I = N-Z increases when A increases, while asym/T of isobars decreases when A increases. The asym/T of prefragments is rather smaller than that of the final fragments, and the asym/T of fragments in small impact parameters is smaller than that of the larger impact parameters, which both indicate that asym/T decreases when the temperature increases. The choice of the reference IYRs is found to have influence on the extracted a sym /T of fragments, especially on the results of the more neutron-rich fragments. The surface-symmetry energy coefficient (bs/T ) and the volume-symmetry energy coefficient (bv/T) are also extracted, and the bs/bv is found to coincide with the theoretical results.     

Symmetry energy and experimentally observed cold fragments in intermediate heavy-ion collisions

An attempt is made to study the symmetry energy at the time of primary fragment formation from the experimentally observed cold fragments for a neutron-rich system of ~(64)Ni + ~9Be at 140 MeV/nucleon,utilizing the recent finding that the excitation energy becomes lower for more neutron-rich isotopes with a given Z value.The extracted α_(sym)/T values from the cold fragments,based on the Modified Fisher Model(MFM),are compared to those from the primary fragments of the antisymmetrized molecular dynamics(AMD) simulation and become consistent with the simulation when the I = N —Z value becomes larger,indicating that the excitation energy of these neutron-rich isotopes is indeed lower.     

重离子核反应中丰中子余核产额的标度规律

在重离子碰撞（HICs）的实验数据和动力学模拟的反应中发现了丰中子余核产额的标度现象。在这种标度现象中,两个同位旋不同的炮弹碎裂反应产生的余核中,不同中子丰度差的余核的信息熵不确定度的差具有一致的分布。利用反对称化分子动力学模型（AMD）模拟并联合退激发模型（GEMINI）模拟了140 AMeV 58,64Ni+9Be碰撞体系中余核的产额,并展示了实验测量的余核已经理论模拟得到的余核的标度现象。由于信息熵方法对反应系统是否处于平衡状态没有要求,不仅可以用于处于平衡态系统的核物质研究,也可以用于动力学变化过程中的核物质性质研究。信息熵方法将为HICs中的核物质演化研究提供新的理论分析方法。A scaling phenomena has been discovered for fragments produced in heavy-ion collisions both in the measured experiments and in the simulated reactions by transport model. In this scaling phenomena, the information entropy uncertainty difference between isobars with different neutron-excess has a uniform distribution between two reactions. The simulated reactions of 140 AMeV 58,64Ni+9Be by using the asymmetric molecular dynamics(AMD) model plus the sequential decay code GEMINI are analyzed to show the scaling phenomena of fragments. Since the application of information entropy theory does not require the system to be in equilibrium, it can be used both in the analysis of transport model and thermodynamics models. The advantage of the information entropy theory provides a new method to study the dynamical evolution of nuclear matter inheavy-ion collisions.     

中能Ca+Ca反应中的对称能效应

采用把重离子碰撞的动力学和统计衰变过程相结合的一个两步模型,再现了INDRA Collaborations 对入射能为35 AMeV40Ca+40Ca 和48Ca+48Ca 反应的实验结果。进而得到了反应碎块同位素分布的Isoscaling 参数α(Z) 和β(N),约化对称能系数ζ(Z) 及与平均场中的对称能强度系数Cs 之间的关系。结果表明,Isoscaling 参数强烈依赖于系统的丰中子程度。随着质子数的增大,ζ(Z) 在动力学阶段呈现平缓趋势但在衰变之后呈现上升趋势,且该结果不依赖于所选取的反应系统。对称能效应在统计衰变过程之后的末级碎块分布中有明显表现。A two-step model for combining the dynamical and statistical decay processes in heavy-ion collisions is used to reproduce the experimental results of the INDRA Collaborations on 40Ca+40Ca and 48Ca+48Ca reactions at 35 AMeV. We obtain the isoscaling parameters α(Z) and β(N) of isotopic distributions of the fragments, the reduced symmetry energy coefficient ζ(Z) and its dependence on the symmetry energy strength coefficient Cs in the mean field. Our results suggest that Isoscaling parameters strongly depend on the degree of neutron-rich. With the increasing atomic number, ζ(Z) represents a smoothly flat tendency during the dynamical process but shows the increasing tendency after decay, and such results are independent on the selected reaction systems. The effect of symmetry energy shows evidently in the isotopic distributions of fragments after statistical decay process.     

Understanding the isoscaling relationship in the fissioning system with evaluated data

The isoscaling parameters α_(eval) in the fissioning systems,i.e.,those extracted from the Evaluated Nuclear Data Library(ENDFIB-VIII.0) and the Joint Evaluated Fission and Fusion File(JEFF-3.3),show an obvious difference from simple statistic model prediction where only the symmetry energy plays the dominant role.To explain the α_(eval) as a function of the charge number of the fission fragment,a statistic scission point model is adopted.Our analysis shows that the effects of the shell correction,nuclear shape deformation,and intrinsic temperature of fission fragments are indispensable as well as the symmetry energy.Furthermore,an alternative method for extracting the intrinsic temperatures of fission fragments is proposed based on the iso scaling relationship in fission fragments.The intrinsic temperatures of the light fragments are higher than those of the heavy fragments.     

中能重离子反应中对称势对熵的影响

基于同位旋相关的量子分子动力学模型,研究了对称势、束流能量、对称能强度系数对中能重离子碰撞反应系统的熵的影响。研究发现,对称势对熵有一定影响,且对熵的影响大小与反应系统中质比有关。另外发现在40Ca+40Ca和40Si+40Si反应系统中对称能强度系数对熵也有影响,当对称能强度系数c=32 MeV时,对这两个系统来说其对熵的影响最大。通过实验上对熵的测量可以得到对称势的形式和大小。Based on the isospin-dependent quantum molecular dynamics model,effects of the symmetry potential,incident beam energy and different symmetry energy strength coefficients on the entropy of reaction system are studied.The results show that the symmetry potential affects the entropy,and the effect changes with the neutron-proton ratio of the reaction system.Besides,in 40Ca+40Ca and 40Si+40Sireaction systems,the symmetry energy strength coefficient also has effect on the entropy when the symmetry energy strength coefficient c=32 MeV,the effect on the entropy is largest for the two systems.Therefore the form and size of symmetry potential could be obtained by comparison of the model calculation and the experiments on the measurement of entropy.     

Study of Borromean halo nuclei by the neutron wall with simulation

The model of three-body Borromean halo nuclei breakup was described by using standard phase space distributions and the Monte Carlo simulation method was established to resolve the detection problem of two neutrons produced from breakup reaction on the neutron wall detector. For 6He case, overall resolution ~rEk for the Oaussiaal part of the detector response and the detection efficiency including solid angle acceptance with regard to the excitation energy Ek are obtained by the simulation of two neutrons from 6He breakup into the neutron wall. The effects of the algorithm on the angular and energy correlations of the fragments are briefly discussed.     

Energy Loss of Fast Quarks in Nuclear Drell-Yan Dimuon Production

The energy loss effect in nuclear matter, which is another nuclear effect apart from the nuclear effects on the patton distribution as in the deep inelastic scattering process, can be measured best by the nuclear dependence of the high energy nuclear Drell-Yan process. By means of the quark energy loss parametrization given in literature and the nuclear patton distribution extracted only with lepton-nucleus deep inelastic scattering experimental data, measured Drell-Yan production cross sections are analysed for 800-GeV protons incident on a variety of nuclear targets from FNAL E866. The average energy loss of quarks are given by fitting the Fe/Be and W/Be Drell-Yan cross section ratios versus the incident patton momentum fraction.     

Effects of Pairing Correlations on Formation of Proton Halo in 9C

Properties for the ground state of 9 C are studied in the relativistic continuum Hartree-Bogoliubov theory with the NLSH, NLLN and TM2 effective interactions. Pairing correlations are taken into account by a density-dependent δ-force with the pairing strength for protons determined by fitting either to the experimental binding energy or to the odd-even mass difference from the five-point formula. The effects of pairing correlations on the formation of proton halo in the ground state of 9C are examined. The halo structure is shown to be formed by the partially occupied valence proton levels p3/2 and p1/2.     

Isoscaling behavior studied by HIPSE model

The isoscaling behavior in the reaction system of 58,64Ni + 9Be has been studied by using the heavy-ion phase-space exploration(HIPSE) model. The extracted isoscaling parameters α and β for both heavy and light fragments for HIPSE model calculations are in good agreement with recent experimental data. The investigation shows that the parameters in the HIPSE model have some effect on the isoscaling parameter. The isoscaling parameters for hot and cold fragments have been extracted.     

Interferometry of direct photons in central 208Pb + 208Pb collisions at 158A GeV

Two-particle correlations of direct photons were measured in central 208Pb+208Pb collisions at 158A GeV. The invariant interferometric radii were extracted for 100相似文献   

The effect of statistical fluctuations on the measurement of the total energy and multiplicity ofγ rays following deep-inelastic reactions

We discuss the effect of statistical fluctuations on the first and second moments of both the intrinsic rotational energy and the sum of spin magnitudes in deep-inelastic fragments, as extracted from measurements of the totalγ-ray energy and theγ-ray multiplicity, respectively. The calculations were done in the framework of a model that considers the thermal excitation of rotational modes in the intermediate dinuclear complex, accounting exactly for the correlations between the angular momenta generated in both nuclei.     

近垒及垒下能区28Si+174Yb体系的裂变碎片质量分布

使用两块大面积平行板雪崩计数器,测量了近垒及垒下28Si+174Yb熔合裂变碎片质量-角度关联分布及质量分布。质量-角度二维图显示在该反应能量区间内并没有发现明显的准裂变成分。运用单高斯曲线拟合了裂变碎片的质量分布并抽取了质量宽度。结果表明:在库仑势垒以上,质量宽度随着反应能量的升高而增大;在库仑势垒以下能区,发现质量宽度随着反应能量的降低而呈现轻微增大的趋势。运用鞍点统计模型对本次实验数据拟合发现,需用比文献给出的更大的刚度系数才能重现实验结果,其物理原因还需要进一步研究。In order to study the fission mechanism, the mass distributions and mass-angle distributions of the fission fragments for 28Si+174Yb were measured near the Coulomb barrier. The mass-angle correlations do not indicate any possible quasi-fission events in this bombarding energy range. The mass distributions were fitted by the single Gaussian distribution and then the mass widths were extracted. At above-barrier energies, the mass widths were found to increase with the energy. However, the mass widths show slight increase with decreasing energy below the barrier. Additionally, the mass widths can not be reproduced in the framework of the saddle statistic model with the given parameter, so further study is still needed.     

30MeV/u 40Ar+natAg反应中中等质量碎片的发射时标

采用强度干涉技术,研究了30MeV/u ⁴⁰Ar+^angAg反应中IMF-IMF关联的实验结果.利用三体弹道模型从约化速度关联函数提取了中等质量碎片的发射时间.中等质量碎片的平均发射时间随其能量而变化,从低能时的约300fm/c下降到高能时的约100fm/c.扣除类弹碎片的贡献后,得到此反应发射中途中等质量碎片的平均发射时间约为250fm/c,表明此反应发射的中等质皇碎片主要来自于相继两体衰变.     

25MeV/u40Ar引起的反应与前角区产物的研究

描述了25MeV/u⁴⁰Ar反应中在前角区方向测得的出射碎片的协变速度谱，提取碎片的平行动量分布宽度及其约化平行动量分布宽度，进而对出射的产物进行了分析. 关键词：     

Multiplicity distributions of shower particles and target fragments in 7Li–Em collisions at 3 A GeV/c

Multiplicity distributions of shower particles and target fragments in ⁷Li–Em (emulsion) collisions at 3 A GeV/c are experimentally studied. In the framework of the multisource thermal model, the multicomponent Erlang distribution is used to describe the experimental multiplicity distributions of shower particles, grey fragments, black fragments, and heavily ionized fragments. The correlations between these multiplicities are experimentally reported. With the increase of impacting centrality (or the target fragment multiplicity), a saturation phenomenon for shower particle multiplicity is observed in the experiment.     

Sub-leading flow modes in PbPb collisions at (~sNN)~(1/2) = 2.76 TeV from the HYDJET++ model

Recent LHC results on the appearance of sub-leading flow modes in Pb Pb collisions at 2.76 TeV, related to initial-state fluctuations, are analyzed and interpreted within the HYDJET++ model. Using the newly introduced Principal Component Analysis(PCA) method applied to two-particle azimuthal correlations extracted from the model calculations, the leading and sub-leading flow modes are studied as a function of the transverse momentum(p T) over a wide centrality range. The leading modes of the elliptic(v_2~((1))) and triangular(v_3~((1))) flow calculated with the HYDJET++ model reproduce rather well the v_2 {2} and v_3 {2} coefficients measured experimentally using the two-particle correlations. Within the p T 3 Ge V/c range, where hydrodynamics dominates, the sub-leading flow effects are greatest at the highest p T of around 3 Ge V/c. The sub-leading elliptic flow mode(v_2~((2))), which corresponds to the n = 2 harmonic, has a small non-zero value and slowly increases from central to peripheral collisions, while the sub-leading triangular flow mode(v_3~((2))), which corresponds to the n = 3 harmonic, is even smaller and does not depend on centrality. For n= 2, the relative magnitude of the effect measured with respect to the leading flow mode shows a shallow minimum for semi-central collisions and increases for very central and for peripheral collisions. For the n= 3 case, there is no centrality dependence. The sub-leading flow mode results obtained from the HYDJET++model are in rather good agreement with the experimental measurements of the CMS Collaboration.     

Q- and Z-dependence of angular momentum transfer in deeply inelastic collisions of 86Kr with 209Bi

The dependence of the in-plane and out-of-plane angular correlations of fragments from fissioning heavy products on the kinetic energy and Z of the light reaction partner have been measured. From the dependence of the angular correlations on Q-value and hence energy loss, together with existing data from which the total angle-integrated cross section as a function of energy loss can be extracted, we have determined the dependence of the angular momentum transferred to the heavy product on the initial orbital angular momentum or impact parameter. The resulting dependence is qualitatively consistent with the sticking limit for a reaction intermediate of touching deformed fragments. More specific nuclear models generally underestimate the angular momentum transfer, although the one-body proximity-friction model accounts for the major fraction of the angular momentum transfer. A recent model incorporating both one-body proximity friction and collective excitations accounts quite well for the observed angular momentum transfer. The Z-dependendence of the anisotropy shows the importance of angular momentum fractionation for the less probable events, where the Z of the fissioning system is appreciably less than that of the target. The transferred angular momentum is shown to be fairly strongly aligned along the perpendicular to the reaction plane, with alignment values of 0.6 to 0.8. The component of angular momentum not along the perpendicular to the reaction plane is found to be primarily oriented perpendicular rather than parallel to the recoil direction. The absolute fission probabilities are found to be qualitatively consistent with J-dependent calculations using the J-values deduced from the angular correlations.