Incomplete-Fusion-Fragmentation Model and Nuclear Liquid-Gas Phase Transition

Incomplete-Fusion-Fragmentation Model is used to analyze the multifragmentation of the projectile remnant in 600MeV/u Au+Au reaction.The theoretical resultsof the mass number,the excitation energy and the thermodynamical temperature of the projectile remnant agree well with experimental data.The backbending structure in the curve of temperature as a function of the excitation energy per nucleon,i.e. the evidence of liquid-gas phase transition,is reproduced and reasonably related to the decay modes phase transformation from dominance of the multifragmentation mode to the vaporization mode.     

弹剩余核衰变模式间竞争及其在ALADIN数据中的呈现

首次分析了ALADIN多重碎裂数据(An(600MeV/u)+Cu实验)中呈现的弹剩余核衰变模式相对产额随bound>的变化规律,它和非完全熔合碎裂模型的理论结果定性一致.实验与理论的衰变模式相对产额图、Dalitz图、Campi图以及理论的热力学温度图,都很好地呈现出弹剩余核的衰变模式随bound>的减小而竞争和转换的过程.     

ALADIN热曲线的微正则系综分析

用微正则瞬时多碎裂统计模型分析了ALADIN热曲线.结果表明落在ALADIN热曲线温度平台(温度扭曲)附近的弹剩余核(热核)的理论代表点,并不落在相应弹剩余核热曲线的温度平台(扭曲)范围内,从而对ALADIN热曲线是否可作为核液气相变的证据提出质疑.     

中能重离子碰撞中的气–液相变和同位旋分馏

利用核物质理论研究气–液相变结果表明,气–液相变中临界温度T_c随系统质量的增加而增加,但随碰撞系统同位旋的增加而减小.利用改进的同位旋相关的量子分子动力学模型,研究了中能重离子碰撞过程中同位旋分馏强度随碰撞系统的同位旋和系统质量的变化,结果表明,同位旋分馏强度与气–液相变临界温度T_c有对应的关系,特别是气–液相变和同位旋分馏都发生在正常核密度以下低密度的spinodal不稳定区.这表明气–液相变和同位旋分馏具有相类似的动力学行为和内在联系,也预示着可以通过对同位旋分馏强度的研究和测量来揭示中能重离子碰撞过程中气–液相变的动力学特征     

Bimodalities: A survey of experimental data and models

Bimodal distributions of some chosen variables measured in nuclear collisions were recently proposed as a non-ambiguous signature of a first-order phase transition in nuclei. This section presents a compilation of both theoretical and experimental studies on bimodalities performed so far, in relation with the liquid-gas phase transition in nuclear matter.     

Critical temperature for the nuclear liquid-gas phase transition (from multifragmentation and fission)

Critical temperature T _c for the nuclear liquid-gas phase transition is estimated from both the multifragmentation and fission data. In the first case, the critical temperature is obtained by analysis of the intermediate-mass-fragment yields in p(8.1 GeV) + Au collisions within the statistical model of multifragmentation. In the second case, the experimental fission probability for excited ¹⁸⁸Os is compared with the calculated one with T _c as a free parameter. It is concluded for both cases that the critical temperature is higher than 15 MeV. The text was submitted by the authors in English.     

The excitation function of Au + Au in the framework of the (2+1)-fluid model

We present the excitation function of the reaction Au+Au in the frame work of the recently developed (2+1)-fluid model. In the (2+1)-fluid model, it is assumed that two baryonic fluids formed by the projectile and target nucleons produce a third hadronic fluid via inelastic nucleon-nucleon collisions. For this third fluid we use the equation of state of an interacting hadron gas obtained within the relativistic mean field model, including a first order phase transition. The dependence of the pion mean transverse momentum is investigated to observe the predicted plateau in the region of the phase transition of the hadronic matter to the quark-gluon plasma.     

Liquid-gas binodal anomaly for systems with pairing transition

For fermionic model systems with a separable interaction the BCS equations are solved self-consistently. In addition, the possibility of a liquid-gas phase transition is considered by inspecting thermodynamic stability. Different examples of temperature-density phase diagrams are given depending on the parameters of a model interaction. In particular, a liquid-gas binodal anomaly is found due to the superposition of the superfluid and the liquid-gas phase transition. Received: 14 October 1997 / Accepted: 2 December 1997     

46.7MeV/u12C引起的弹核碎裂及轻带电粒子关联

我们在HIRFL提供的46.7MeV/u的~(12)C离子轰击~(58)Ni、~(115)In和~(197)Au靶所引起的核反应中研究了弹核碎裂与转移反应的竞争,分别提取了对应于弹核碎裂和转移反应的类弹碎片的约化动量宽度,从粒子发射不稳定态的相对布居得到了不同反应系统的核温度参数。 The projectile fragmentation and its competition with the transfer reactions have beenstudied in the reactions induced by 46.7 MeV/u ~(12)C ion on the ~(58)Ni, ~(115)In and ~(197)Au targets. Thereduced momentum distribution widths of the projectile-like fragments for projectile fragmentationand transfer reactions were extracted from the experimental data respectively. The nuclear temperatureperameters were obtained from the relative populations of the unstable particle emission ...     

Entropy of a Two-phase Mixture

The isentropic expansion of a blob of nuclear matter towards the two-phase instability region is studied by considering two extreme conditions: the instantaneous development of the phase transition and the spinodal decomposition. We show that the experimentally observed entropy values of light clusters give evidence for the onset of a liquid-gas phase transition in heavy ion and proton induced reactions, but to be more conclusive the disassembly of relatively cold nuclear systems has experimentally to be investigated in more detail.     

熔合碎裂模型和ALADIN多重碎裂数据

我们用非完全熔合碎裂模型分析了600MeV/u的Au与Cu碰撞后弹剩余核多重碎裂的ALADIN实验结果.由于非完全熔合碎裂模型可以将描述热核形成的动力学和描写热核瞬时多重碎裂的统计模型融为一体,所以只需适当调整与激发能有关的模型参数,就能很好地再现ALADIN数据.     

About the poor decay of certain cross-correlation functions in the statistical mechanics of phase transitions in the static and dynamical regime

We introduce a method to prove poor decay of certain cross-correlation functions which are closely related to the phase transition. The methods apply both to equal and nonequal times, which gives access to the dynamical regime. We establish a criterion which displays openly what happens when the Goldstone picture breaks down. Since no rudiments of translation invariance are needed the treatment covers phases in coexistence like, e.g., liquid-gas interfaces and completely inhomogeneous systems. Furthermore a perhaps surprising connection with the breaking of time reflection invariance of the equilibrium state is established.     

Thermal multifragmentation of hot nuclei and liquid-fog phase transition

Multiple emission of intermediate-mass fragments (IMF) in the collisions of protons (up to 8.1 GeV), ⁴He (4 and 14.6 GeV), and ¹²C (22.4 GeV) on Au has been studied with the 4π setup FASA. In all the cases, thermal multifragmentation of the hot and diluted target spectator takes place. The fragment multiplicity and charge distributions are well described by the combined model including the modified intranuclear cascade followed by the statistical multibody decay of the hot system. IMF-IMF-correlation study supports this picture, giving a very short time scale of the process (≤70 fm/c). This decay process can be interpreted as the first-order nuclear “liquid-fog” phase transition inside the spinodal region. The evolution of the mechanism of thermal multifragmentation with increasing projectile mass was investigated. The onset of the radial collective flow was observed for heavier projectiles. The analysis reveals information on the fragment space distribution inside the breakup volume: heavier IMFs are formed predominantly in the interior of the fragmenting nucleus possibly due to the density gradient.     

Properties of hot nuclei originating from collisions of light relativistic ions with heavy targets

Nuclear multifragmentation is the main channel of decay of hot nuclei at temperatures of 5 to 6 MeV. Investigation of this process permits experimentally determining the critical temperature for the liquid-gas nuclear phase transition. It was found that T _c = 17±2 MeV. Characteristic times of the process are measured by analyzing correlation functions for fragment pairs. The mean fragment-emission time was found to be 1 to 2 × 10^?22 s.     

Possible links between the liquid-gas and deconfinement-hadronization phase transitions

It is commonly accepted that strongly interacting matter has several phase transitions in different domains of temperature and baryon density. In this contribution I discuss two most popular phase transitions which, in principle, can be accessed in nuclear collisions. One of them, the liquid-gas phase transition, is well established theoretically and studied experimentally in nuclear multifragmentation reactions at intermediate energies. The other one, the deconfinement-hadronization phase transition, is at the focus of present and future experimental studies with relativistic heavy-ion beams at SPS, RHIC and LHC. Possible links between these two phase transitions are identified from the viewpoint of their manifestation in violent nuclear collisions.     

Origin of tweed in Au–Cu–Al alloys

The premartensitic tweed in Au–Cu–Al alloys, contrary to previous thought that resort to defects, is confirmed to be associated with the coherent embryos of an intermediate phase (I phase) embedded in parent phase. The parent?→?I phase transformation temperature was measured by differential scanning calorimeter and dynamic mechanical analysers, which shifts from 82.3 to 557.6?°C depending on the alloy composition. X-ray diffraction and transmission electron microscopes (TEM) results show that the parent?→?I phase transformation is a charge density wave transition that cannot be suppressed even by melt-spun method, which shows obvious compositional inhomogeneity between I phase and parent. The results imply that the parent?→?I phase transition is a fast displacive transformation coupled with diffusion. Moreover, accompanying the parent?→?I phase transformation, alloys demonstrate diversified microstructure revealed by TEM observation, from tweed to chessboard nanowires or twins. These findings provide the experimental evidence for that parent?→?I phase transformation in Au–Cu–Al alloys is originated from pseudospinodal decomposition as theoretically predicted.     

碰撞电离产生Au L3空穴态定向行为的研究

采用一种简单的实验方法测定低能区几种离子与Ａｕ碰撞产生Ａｕ的Ｌ₃空穴态的定向度，及定向度的入射离子能量相关性；同时在平面波玻恩近似理论基础上加上库仑偏转效应的校正进行了理论计算，改善了实验点与平面波玻恩近似理论计算的符合程度，讨论了有关空穴态定向行为。 关键词：     

Incomplete deep-inelastic scattering in20Ne+197Au collisions at 20 MeV/nucleon

Correlations between emission angles and energies of coincidentα-particle projectile-fragment pairs have been measured for the²⁰Ne+¹⁹⁷Au system at 390 MeV beam energy. Theα-particles observed close to the direction of the projectile-like fragment were found to result essentially from sequential projectile decay. Starting from the close-geometry data, the contribution of sequentially emittedα-particles was calculated by Monte Carlo simulations for the entire angular range. For deep inelastic events, the measured angular correlations exhibit a spectacular excess over the calculated correlation. This excess is centred close to the beam direction but on the opposite side of it with respect to the detected projectile-like fragment. The correspondingα-particles have velocities around 85% of the projectile velocity indicating emission in an early reaction phase.