Scaling property in one-nucleon removal reactions induced by exotic nuclei

Assuming a core plus valence nucleon structure, one-nucleon removal reaction is investigated within the framework of few-body Glauber theory. Fermi-type distribution is used for the core density, while the wavefunction of the valence nucleon is calculated by solving the single particle eigeuvalue problem of the SchrSdinger equation with the Woods-Saxon potential. The parallel momentum distribution (P//) of the fragments is calculated for isotopes with 3 < Z < 18. A remarkable scaling property is observed from the dependence of the dimensionless quantity R2v/R2c on the full width at half maximum of the parallel momentum distribution (FWHMp//). R2v/R2c is a measure of the exotic extent of the nuclear halo. Based on the obtained scaling law, FWHMp// can be used as an experimental observable to extract R2v/R2c and measure the exoticextent for the nuclear halo.     

Momentum Distribution of a Fragment and Nucleon Removal Cross Section in the Reaction of Halo Nuclei

Recently the research on the halo structure of drip-line nuclei has shown some interesting properties of the existence of one or more halo nucleons. In the framework of few-body Glauber model, the momentum distribution of a fragment and nucleon removal cross section in the reaction of halo nuclei is presented and extended to nuclei having more than one halo nucleons. The reaction mechanism is treated with and without taking account of the final-state interaction. The wave function of removal halo nucleons in the continuum state is modified by imposing an orthogonal condition to the bound state. An analytical expression of the longitudinal momentum distribution of the fragment is derived when the bound state wave function of halo nucleons is taken as a Gaussian-type function. This is useful in the further investigation on the structure of halo nuclei.     

Momentum Distribution of a Fragment and Nucleon Removal Cross Section in the Reaction of Halo Nuclei

Recently the research on the halo structure of drip-line nuclei has shown some interesting properties of the existence of one or more halo nucleons. In the framework of few-body Glauber model, the momentum distribution of a fragment and nucleon removal cross section in the reaction of halo nuclei is presented and extended to nuclei having more than one halo nucleons. The reaction mechanism is treated with and without taking account of the final-state interaction. The wave function of removal halo nucleons in the continuum state is modified by imposing an orthogonal condition to the bound state. An analytical expression of the longitudinal momentum distribution of the fragment is derived when the bound state wave function of halo nucleons is taken as a Gaussian-type function. This is useful in the further investigation on the structure of halo nuclei.     

Charged-particle pseudorapidity distributions in Au+Au collisions at RHIC

Using the Glauber model, we present the formulas for calculating the numbers of participants, spectators and binary nucleon-nucleon collisions. Based on this work, we get the pseudorapidity distributions of charged particles as the function of the impact parameter in nucleus-nucleus collisions. The theoretical results agree well with the experimental observations made by the BRAHMS Collaboration in Au＋Au collisions at √^SNN=200 GeV in different centrality bins over the whole pseudorapidity range.     

xF （or y）-Dependence of Nuclear Absorption and Energy Loss Effects on J/ψ Production

By means of the nuclear parton distribution studied only with lepton deep-inelastic scattering experimental data, the J/ψ ＂normal nuclear absorption＂ and energy loss effects are studied in a GIauber formalism at HERA and RHIC energies. Assuming that the absorption cross section σabs increases with the charmonium-nucleon center of mass energy, the results reveal a significant dependence of the aabs on rapidity g at RHIC energies. The initial-state energy loss effect, which is found important only at HERA energies, is also considered, and its influence should be eliminated when we studied the absorption effect at low collision energies. Finally, we also present the theoretical prediction for LHC.     

Measurement of the total reaction cross section for the mirror nuclei ^12N and ^12B

The mirror nuclei ^12N and ^12B are separated by the Radioactive Ion Beam Line in Lanzhou （RIBLL） at HIRFL from the breakup of 78.6 MeV/u 14N on a Be target. The total reaction cross-sections of ^12N at 34.9 MeV/u and ^12B at 54.4 MeV/u on a Si target have been measured by using the transmission method. Assuming ^12N consists of a ^11C core plus one halo proton, the excitation function of ^12N and ^12B on a Si target and a C target were calculated with the Glanber model. It can fit the experimental data very well. The characteristic halo structure for ^12N was found with a large diffusion of the protons density distribution.     

用光学极限的Glauber模型结合相对论平均场对8Li和8B的半径的研究

We study the reaction cross sections （σR） and root-mean-square （RMS） radii of ^8Li and ^8B, the halo-like nuclei, with stable target ^12C, ^27Al and ^9Be within the standard optical-limit Glauber model, using densities obtained from relativistic mean-field （RMF） formalisms and other types of distributions. It is found that the experimental σR can be reproduced well at high energy. The RMS radius and Ar extracted by RMF- theory and harmonic oscillator distribution are compared. larger than those of SLi. In addition, we analyze in detail the We find that the RMS radius and Ar of SB are relationship between σR and density distribution.     

Centrality dependences of the pseudorapidity distributions of charged particles in Au+Au collisions at RHIC energies

By employing the Glauber model, we give the centrality dependences of the numbers of participants and binary nucleon-nucleon collisions in nucleus-nucleus collisions. By taking into account the energy loss of the participants in their multiple collisions, we then present the pseudorapidity distributions of charged particles in nucleus-nucleus collisions as a function of beam energy and impact parameter. Finally, we analyze the centrality dependence of the pseudorapidity of the charged particles in Au＋Au collisions at energies from √SNN=19.6 to 200 GeV. The theoretical results are in good agreement with the experimental observations of the RHIC-PHOBOS collaboration.     

Measurement of the interaction cross-section and related topics

Recent experimental results concerning interaction cross-sections ( σ_I) are reviewed. The σ_I values were measured by a transmission method using the fragment separator at GSI. The σ_I values for B, C, N, O and F isotopes and the recently measured σ_I for Ar are presented. As related topics, an analysis by the recently developed Glauber model for a few-body system is introduced. By using this analysis, the effective density distributions for light neutron-rich nuclei can be deduced. The recently shown magic number N = 16 near to the neutron drip line is also discussed. Received: 1 May 2001 / Accepted: 4 December 2001     

Measurements of higher order flow harmonics in Au+Au collisions at √s(NN)=200 GeV

Flow coefficients ν(n) for n=2, 3, 4, characterizing the anisotropic collective flow in Au+Au collisions at √s(NN)=200 GeV, are measured relative to event planes Ψ(n), determined at large rapidity. We report ν(n) as a function of transverse momentum and collision centrality, and study the correlations among the event planes of different order n. The ν(n) are well described by hydrodynamic models which employ a Glauber Monte Carlo initial state geometry with fluctuations, providing additional constraining power on the interplay between initial conditions and the effects of viscosity as the system evolves. This new constraint can serve to improve the precision of the extracted shear viscosity to entropy density ratio η/s.     

Negatively Charged Excitons in a Quantum Disk

The method of few-body physics is applied to treating negatively charged excitons in a quantum disk. The energies of low-lying states of a negatively charged exciton are calculated for a few values of the electron-to-hole mass ratio. A new bound state of a negatively charged exciton in a quantum disk with orbital angular momentum L = 1 and the triplet state of the two bound electrons are predicted. The binding energy of a negatively charged exciton asfunction of disk radius for the heavy hole and the light hole is investigated.     

A RELATIVISTIC CORRECTION TO THE GLAUBER THEORY AND THE HIGH ENERGY BEHAVIOR OF THE SCATTERING AMPLITUDE

In this paper, the basis of the Glauber theory is changed from the schrodinger equation to a relativistic equation, which is then solved using eikonal approximation to investigate the high energy behavior of the scattering amplitude and its relationship with phenomenological nuclear forces. A correction to the Glauber theory including the modification of transverse and longitudinal momentum transfer is also proposed.     

$ \alpha$ -nucleus elastic scattering in the energy range 25-70 MeV/nucleon

Working within the framework of the Coulomb-modified Glauber model for nucleus-nucleus collisions, we analyse the elastic scattering of -particles on ⁴He at 25, 30, 35, 40, 50, and 70MeV/nucleon. Emphasis has been put on the parametrization of the basic (input) NN amplitude that preserves the low-q behavior at the desired energy, whereas the higher momentum transfer components are treated phenomenologically. The analysis also considers the medium modification of the NN amplitude due to Pauli blocking. Using the realistic form factors for colliding nuclei, it is found that the data are reproduced satisfactorily well up to the fairly large value of momentum transfer. We also discuss the suitability of the extracted NN amplitude for other target nuclei in the energy range under consideration. Our analysis suggests that the proper account of the higher momentum transfer components of the NN amplitude may push down the Glauber model to lower energies, and increase its validity in the region of relatively large momentum transfers.     

The four-momentum transfer distribution for the deuteron break up at 3.3 GeV/c incident deuteron momentum

The differential cross section (dσ/dt) for the dp → ppn charge retention reaction at 3.3 GeV/c deuteron momentum is studied and compared with the Glauber multiple scattering theory. Within the limits of the uncertainties of the existing elementary nucleon-nucleon data, the simple Glauber model calculations give, in general, a fair agreement with experiment, except for the low |t| region where possible spin effects may play a role.     

New Way in Few-Body Scattering Calculations

The key features of the new general approach to solution of few-body scattering problems in hadronic, nuclear and atomic physics are presented and discussed in the paper. The approach is based on a general idea of the lattice-like discretization of few-body continuum using the stationary wave-packet basis in momentum space. The new technique includes an efficient averaging and smoothing of singular kernels of the scattering integral equations over the lattice cells. So, such an averaging procedure allows us to transform the complicated singular integral kernels into usual matrices with regular and smooth matrix elements. Such a transformation is shown to lead to an enormous simplification of the solving procedure for scattering equations.     

Nucleon internal structure: a new set of quark, gluon momentum, angular momentum operators and parton distribution functions

It is unavoidable to deal with the quark and gluon momentum and angular momentum contributions to the nucleon momentum and spin in the study of nucleon internal structure. However we never have the quark and gluon momentum, orbital angular momentum and gluon spin operators which satisfy both the gauge invariance and the canonical momentum and angular momentum commutation relation. The conflicts between the gauge invariance and canonical quantization requirement of these operators are discussed. A new set of quark and gluon momentum, orbital angular momentum and spin operators, which satisfy both the gauge invariance and canonical momentum and angular momentum commutation relation, are proposed. The key point to achieve such a proper decomposition is to separate the gauge field into the pure gauge and the gauge covariant parts. The same conflicts also exist in QED and quantum mechanics and have been solved in the same manner. The impacts of this new decomposition to the nucleon internal structure are discussed.     

Recoil effect in quasi-elastic hadron-deuteron scattering

The problem of hadron-deuteron quasi-elastic scattering is considered for large momentum transfers. The longitudinal part of the momentum transfer is included in the single and double scattering. It is shown that a simple enhancement factor relates the double scattering contribution to the differential cross section to the same quantity in Glauber theory.     

量子盘三电子系统的基态性质

用少体物理的方法，研究了磁场中量子盘三电子系统极化态的基态能量和盘厚之间的关系.随着量子盘厚度的增加，三电子系统中的幻数角动量态即分数量子霍耳效应态将不再出现.结果还表明，幻数角动量消失的量子盘厚度随磁场强度的增加而减小. 关键词：