Excitation-energy sharing in uranium induced dissipative collisions

Strongly damped collisions were studied in uranium induced reactions on¹¹⁰Pd and¹²⁴Sn target nuclei near the barrier. The excitation-energy splitting was deduced from binary reaction yields and those in which the heavy fragment undergoes sequential fission. For systems with 87≦Z≦95 for the heavy fragment, the excitation energy is concentrated in the lighter nucleus, at best shared equally. The results indicate a non-equilibrated energy dissipation, and support nucleon exchange based on average single-particle strength functions as the underlying dissipation mechanism at the barrier.     

THE CONTRIBUTION OF THE NUCLEON EXCHANGE TO THE TRANSFER OF IN DEEP ANGULAR MOMENTUM AND ENERGY INELASTIC COLLISION

The nucleon exchange can be divided into two different modes, the equal one and unequal one. Assuming that the motion of nucleon is random and according to Einstein relation the number of equal and unequal exchange is discussed. The total energy loss and the angular momentum for the reaction Kr+Kr have been calculated. The results. show that the total energy loss is only partly induced by nucleon exchange, while the. angular momentum dissipation is mainly induced by nucleon exchange and the equal exchange is more important than unequal one in both cases.     

重离子熔合反应与双核模型

简单介绍了兰州-北京-吉森合作组对合成超重核的重离子反应进行的初步研究。研究的重点是熔合阶段的反应机制。在原有双核模型的基础上做了一些改进,把耗散相对运动过程与核子转移过程耦合起来,从更微观的角度来描写双核系统向全熔合复合核的演化。在双核过程中的每一步求解主方程,不对驱动势做谐振子近似。同时,还探讨了原子核形变与相对取向对驱动势的影响,存活几率与复合核蒸发中子的奇偶效应,以及入射道中原子核非弹性激发对俘获截面的影响等。In recent years, the Lanzou-Beijing-Giessen collaboration has studied the heavy ion reactions which are lead to the formation of super-heavy nuclei. The study emphases the mechanism of the fusion stage of the reactions. Based on the so called Di-nuclear System Model, some improvements have been made. The main points are the coupling of the dissipation of relative motion energy, angular momentum with nucleon transfer, and solving the Master equation in every step of the nucleon transfer with exact driving potentials, in order to describe the evolution of the system more microscopically. At the same time, we also discussed the effects of nuclear deformation and their relative orientation on the driving potentials, and studied the survive probability of the compound nuclei and its old-even effects, as well as the influence of inelastic excitations of nuclei in entrance channels to the capture cross sections.     

Quantum anomalous energy effects on the nucleon mass

Apart from the quark and gluon kinetic and potential energies, the nucleon mass includes a novel energy of pure quantum origin resulting from anomalous breaking of scale symmetry. We demonstrate the effects of this quantum anomalous energy(QAE) in QED, as well as in a toy 1+1 dimensional non-linear sigma model where it contributes non-perturbatively, in a way resembling the Higgs mechanism for the masses of matter particles in electro-weak theory. The QAE contribution to the nucleon mass can be explained using a similar mechanism, in terms of a dynamical response of the gluonic scalar field through Higgs-like couplings between the nucleon and scalar resonances. In addition, the QAE sets the scale for other energies in the nucleon through a relativistic virial theorem, and contributes a negative pressure to confine the colored quarks.     

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 ...     

Local equilibration and diffusive phenomena in40Ar+27Al and14N+27Al heavy ion reactions

Extensive analysis of the energy dissipation and nucleon exchange has been done with heavier systems. Here we choose the two light systems⁴⁰Ar+²⁷Al (E _lab=340 MeV) and¹⁴N+²⁷Al (E _lab=100 MeV) in order to study the correlation of the energy dissipation with the variance of the charge distributions as a function of total kinetic energy loss bins. Considerable energy damping is found to occur in the approach phase which cannot be explained by a simple Fokker-Planck diffusion model. Indeed a model which interprets the collision as a local equilibration followed by diffusive phenomena is more appropriate to fit the data.     

Pre-equilibrium neutron emission in the nucleon exchange transport model

We extend the nucleon exchange transport model to include the emission of pre-equilibrium neutrons as a result of nucleon transfer to unbound states. The treatment takes account of the heating of the two nuclei caused by the energy dissipation and the cooling due to the pre-equilibrium emission. Furthermore, the transferred nucleons may induce cascading in the receptor nucleus by means of direct two-body scattering with the resident nucleons, based on a reduced, Pauli-blocked, energy-dependent free NN cross section. Qualitative agreement with experimental data is achieved, but the absolute multiplicities are systematically underestimated by about a factor of two. The dependence of multiplicity on bombarding energy is reproduced. The energy spectra and their variation with angle are generally reproduced, although the yield of the highest energy particles is sometimes underestimated.     

Distinctive features of heavy ton dissipative collisions

Examples of experimental angular, charge (mass) and energy distributions of reaction products from damped heavy-ion reactions are presented. Correlations between these observables, as well as with the associated light particles emitted in the deexcitation stage, are illustrated and shown to give important insights into the reaction mechanism of dissipative collisions. Comparisons of experimental results with dynamical transport calculations based on one-body nucleon exchange give strong evidence that stochastic exchange of independent nucleons account for the dominant part of the dissipative and fluctuative phenomena observed in damped reactions.     

Spectral energy transfer and dissipation of magnetic energy from fluid to kinetic scales

We investigate the magnetic energy transfer from the fluid to kinetic scales and dissipation processes using three-dimensional fully kinetic particle-in-cell plasma simulations. The nonlinear evolution of a sheet pinch is studied where we show that it exhibits both fluid scale global relaxation and kinetic scale collisionless reconnection at multiple resonant surfaces. The interactions among collisionless tearing modes destroy the original flux surfaces and produce stochastic fields, along with generating sheets and filaments of intensified currents. In addition, the magnetic energy is transferred from the original shear length scale both to the large scales due to the global relaxation and to the smaller, kinetic scales for dissipation. The dissipation is dominated by the thermal or pressure effect in the generalized Ohm's law, and electrons are preferentially accelerated.     

A priori assessment of the subgrid scale viscous/scalar dissipation closures in compressible turbulence

An appraisal is made of several subgrid scale (SGS) viscous/scalar dissipation closures via a priori analysis of direct numerical simulation data in a temporally evolving compressible mixing layer. The effects of the filter width, the compressibility level and the Schmidt number are studied for several models. Based on the scaling of SGS kinetic energy, a new formulation for SGS viscous dissipation is proposed. This yields the best overall prediction of the SGS viscous dissipation within the inertial subrange. An SGS scalar dissipation model based on the proportionality of the turbulent time scale with the scalar mixing time scale also performs the best for the filter widths in the inertial subrange. Two dynamic methods are implemented for the determination of the model coefficients. The one based on the global equilibrium of dissipation and production is shown to be more satisfactory than the conventional dynamic model.     

Nucleon transport processes in fission and heavy ion reactions

The nucleon exchange process between two nuclei in close proximity and its application to an explanation of fragment mass and charge distributions in fission and in heavy ion deep inelastic collisions are reviewed. An analysis of the measured correlations between the energy loss from relative motion and the fragment mass and charge variances in the heavy ion deep inelastic collisions is presented. The recent data on fragment mass and charge variances as a function of the fragment kinetic energy in thermal neutron induced fission of²³⁵U, lends added support to the hypothesis that the nucleon transport process plays a similar role both in fission and in heavy ion deep inelastic collisions.     

各向同性紊流能量衰减的大涡模拟

在多重网格驱动的,高效且得到充分验证的有限体积方法的基础上发展了可压缩流大涡模拟的方法.空间离散采用Jameson的中心格式附加二阶和四阶耗散的方法,时间推进则采用了双时间步长的方法.亚格子剪切应力张量和亚格子热通量用Smagorinsky模型进行模拟.通过对各向同性紊流能量衰减的模拟来验证本方法的准确性和高效性,模拟得到的能量谱和紊流动能衰减历程与过滤后的CBC实验数据吻合良好.     

Excitation energy division in the first 160 MeV of total kinetic energy loss for the reaction 684 MeV 80Kr+174Yb

The fraction of the total excitation energy imparted to the primary target-like fragment produced in the reaction 684 MeV ⁸⁰Kr+¹⁷⁴Yb has been determined for one charge asymmetry in the exit channel. This fraction was deduced from the kinetic energy cost of evaporating neutrons from the target-like fragment and is approximately 0.5 for total kinetic energy losses as large as 160 MeV. This result is consistent with the predictions of nucleon exchange models and indicates that for some exit channels thermal equilibrium has not been reached for energy losses corresponding to a sizeable fraction of the maximum kinetic energy relaxation.     

Peripheral reactions induced by 20Ne at 11 and 15 MeV/nucleon

The breakup of ²⁰Ne has been studied in the ²⁰Ne + ⁵⁴Fe reaction at 11 and 15 MeV/nucleon. Singles projectile-like fragments and correlations between projectile-like fragments and α-particles have been measured. The correlations have been analysed in terms of sequential breakup by extensive Monte Carlo simulations. The major part of the data, even at high-excitation energy, can be described by sequential decay. The large contribution of sequential decay to the inclusive yield is confirmed. Strong energy dissipation is observed, which cannot be accounted for by direct transfer or nucleon exchange.     

在中能重离子反应中核子的运动特征

在量子分子动力学模型框架下，研究了在中能重离子反应中单个核子的运动形态是规则的还是混沌的，它与反应系统的整体性质、反应机制是有关联的．在稳定的复合系统中，核子的运动显示出规则的行为．规则行为与混沌行为的并存反映了规则区域被不规则区域所包围的排斥极分岔特性，说明有中等质量碎片的局域稳定源存在．更多的不稳定轨道的出现则标志着这种局域稳定源的减少，有更多的核子及小集团发射．核子的混炖运动比核物质状态方程所标志的力学不稳定区域出现的时间更早．     

Relaxation phenomena in nucleon-induced reactions and preequilibrium angular distributions

The intranuclear relaxation process in nucleon-induced reactions is investigated in a Fermi gas model utilizing a statistical operator for the non-equilibrium state, which contains energy, particle number, and linear momentum as relevant observables. In the hydrodynamic stage the phase space is subdivided into subspaces, assumed to be in a quasi-equilibrium, which is characterized by a Fermi distribution function with time-dependent thermodynamic parameters. A set of coupled non-linear equations for the time development of the thermodynamic parameters is derived. For the case of two sybsystems, a numerical solution of these generalized transport equations is provided, with kinetic coefficients calculated microscopically. The initial conditions are fixed in accordance with the energy and angle distribution of both particles occupying states above the Fermi surface after the first collision event. From the results, a fast and a slow stage are established in the relaxation process, with equal relaxation times for all physical quantities under consideration. The dependence of the relaxation time on particle number and excitation energy is estimated. The particle emission from the precompound stage of the reaction is taken into account by using the principle of detailed balance to find expressions for the mean fluxes from the compound system to the outer space, which are included in the equations for the relaxation. From the time evolution of the occupation number for states above the nucleon binding energy, the precompound double-differential cross section cumulating up to a certain time is calculated. The results for the angular distributions in nucleon-induced precompound reactions are compared with measured data as well as with previous predictions from generalized exciton models. Satisfactory agreement with experimental data is obtained. Following the time development of the compound nucleus the consistency of the present model with the evaporation theory is demonstrated by investigating the mean nucleon decay width.     

Energy dissipation prediction in a line of colliding oscillators

In this paper the impact of a line of adjacent structures, or oscillators, is studied using an energy formulation. The energy exchange and dissipation from a collision of a pair of oscillators is studied by creating an equivalent oscillator pair, one has the energy of the in-phase motion and the other has the out-of-phase energy. It is found that the energy exchange between colliding oscillators is proportional to the initial kinetic energy difference of the oscillators and that work in the collision is proportional to the out-of-phase energy or difference energy. The kinetic energy at contact is then related to the mean oscillator energy, permitting a power balance equation to be written for each oscillator in line. The power balance equations have three independent variables for each pair of oscillators: the oscillator time averaged energies and the phase difference. This equation is run in a time-stepping procedure, with steps at the mean collision rate. The work in the collisions and internal oscillator dissipation is output as a function of time. A parameter study is conducted to see how the work changes with oscillator: separation, contact stiffness and contact damping.     

Angular momentum transfer and spin dealignment mechanisms in damped nuclear reactions Ar+Bi and Ni+Pb

The angular momentum transferred to fragment spins has been studied in the damped nuclear reactions Ar+Bi at 255 MeV and 295 MeV and Ni+Pb at 435 MeV from measurement of the angular distribution of the fission fragments of the heavy-recoil nucleus in coincidence with the projectile-like fragment. The heavy-fragment spin is strongly aligned along the normal to the reaction plane and the rigid-rotation limit of the dinuclear system is attained. The dealignment mechanisms produce spin components mainly located in a plane approximately perpendicular to the heavy-recoil lab direction. They are well described by a dynamical model based on the nucleon exchange between the two ions during the collision. The spin-component fluctuations reach high values. In the heavy-recoil direction, these fluctuations are increasing with the total kinetic energy loss and the charge transfer from the projectile to the target. The spin values extracted from both the angular distributions and the fission probabilities are seen to be compatible.     

An overview of atomic and molecular processes in critical velocityionization

The authors present an overview of the time development of some atomic and molecular processes in critical ionization velocity (CIV). In the preonset stage, metastable states play an important role: they provide an energy pooling mechanism allowing low-energy electrons to participate in the ionization process; they may explain the low energy threshold was well as the fast time scale in the onset of CIV. For a sustaining CIV to occur, Townsend's criterion has to be satisfied. The kinetic energies of the neutrals are transformed to plasma wave energies via beam-plasma instabilities, and the plasma waves that heat the electron result in a tail formation. Excitation of neutrals with subsequent radiation is an important energy loss mechanism. Finite size also limits the instability growth rate. In the propagation of CIV, ion-molecule reactions and molecular dissociative recombination are important