Elliptic flow of transported and produced protons in Au+Au collisions with the UrQMD model

Within the framework of the UrQMD model, by tracing the number of initial quarks in protons, we study the elliptic flow of protons with 3, 2, 1, 0 initial quarks and anti-protons in Au+Au collisions at SNN~(1/2)= 7.7, 11.5, 39,200 GeV. The difference of elliptic flow between protons with 2, 1, 0 initial quarks and anti-protons is smaller than 0,or consistent with 0, respectively. The difference of elliptic flow between transported protons(with 3 initial quarks)and anti-protons is larger than 0 at 7.7, 11.5 and 39 GeV. This is in good agreement with the STAR results at 7.7 and 11.5 GeV, but overestimates the STAR results at 39 GeV. The yield of transported protons with 3 initial quarks is smaller than of protons with 2 and 1 initial quarks, and v_2 of all protons is much smaller than the STAR results. The observation of the v_2 difference of elliptic flow between transported protons and anti-protons in the UrQMD model partly explains the difference between protons and anti-protons observed in the Beam Energy Scan program at the Relativistic Heavy Ion Collider(RHIC).     

An explanation for deviations from the quark number scaling of elliptic flows in low pT region

We carry out a systematic study of the different contributions to the deviations of the elliptic flows from the quark number scaling in high energy heavy ion collision in a quark combination model.The effects that we considered are:the resonance decay,the flavor dependence of the quark elliptic flow and the combination of quarks/antiquarks with slightly different transverse momenta.Our results show that the deviations observed in experiments can be well reproduced within the combination framework if all the three effects are considered. We make a detailed analysis of the different contributions using a Monte-Carlo program and suggest measuring the quark number scaling in intermediate pT range more precisely.     

An explanation for deviations from the quark number scaling of elliptic flows in low PT region

We carry out a systematic study of the different contributions to the deviations of the elliptic flows from the quark number scaling in high energy heavy ion collision in a quark combination model.The effects that we considered are:the resonance decay,the flavor dependence of the quark elliptic flow and the combination of quarks/antiquarks with slightly different transverse momenta.Our results show that the deviations observed in experiments can be well reproduced within the combination framework if all the three effects are considered. We make a detailed analysis of the different contributions using a Monte-Carlo program and suggest measuring the quark number scaling in intermediate P_T range more precisely.     

Helium-3 production from Pb+Pb collisions at SPS energies with the UrQMD model and the traditional coalescence afterburner

A potential version of the UrQMD(UrQMD/M) transport model and a traditional coalescence model are combined to calculate the production of ~3He fragments in central Pb+Pb collisions at SPS energies 20-80 Ge V/nucleon. It is found that the Lorentz transformation in the afterburner influences visibly the ~3He yield and should be considered in calculations. The rapidity distribution of ~3He multiplicities(including the concave shape) can be described well with Ur QMD/M when it stops during t_cut=(100±25) fm/c and the coalescence afterburner with one parameter set of(R_0,P_0)=(3.8 fm, 0.3 Ge V/c) is taken into use afterwards.     

On the difference between proton and neutron spin-orbit splittings in nuclei

The latest experimental data on nuclei at ¹³²Sn permit us for the first time to determine the spin-orbit splittings of neutrons and protons in identical orbits in this neutron-rich doubly magic region and compare the case to that of ²⁰⁸Pb. Using the new results, which are now consistent for the two neutron-rich doubly magic regions, a theoretical analysis defines the isotopic dependence of the mean-field spin-orbit potential and leads to a simple explicit expression for the difference between the spin-orbit splittings of neutrons and protons. The isotopic dependence is explained in the framework of different theoretical approaches. Received: 13 February 2002 / Accepted: 20 February 2002     

An explanation for deviations from the quark number scaling of elliptic flows in low pT region

We carry out a systematic study of the different contributions to the deviations of the elliptic flows from the quark number scaling in high energy heavy ion collision in a quark combination model. The effects that we considered are: the resonance decay, the flavor dependence of the quark elliptic flow and the combination of quarks/antiquarks with slightly different transverse momenta. Our results show that the deviations observed in experiments can be well reproduced within the combination framework if all the three effects are considered. We make a detailed analysis of the different contributions using a Monte-Carlo program and suggest measuring the quark number scaling in intermediate p_T range more precisely.     

Viscosity of hadron matter within relativistic mean-field-based model with scaled hadron masses and couplings

The shear (η) and bulk (ζ) viscosities are calculated in a quasiparticle relaxation-time approximation for a hadron matter described within the relativistic mean-field-based model with scaled hadron masses and couplings. Comparison with results of other models is presented. We demonstrate that a small value of the shear viscosity to entropy density ratio required for explaining a large elliptic flow observed at RHIC may be reached in the hadron phase. Relatively large values of the bulk viscosity are noted in the case of a baryon-enriched matter.     

The effect of difference between neutron and proton density distributions on the nuclei fusion barrier in a double folding model

The basic parameters (height, radius, and curvature) of the atomic nuclei fusion barrier are compared for the cases where the proton and neutron density distributions are identical and where they are different. As the difference exceeds 11%, it must be taken into consideration, especially for neutron-deficient and neutron-rich nuclides.     

Semihard hadron processes and the quark-gluon string model

A new approach to the analysis of soft and semihard hadron processes is suggested. In the framework of the Quark-Gluon String Model, the interaction of quarks from colliding hadrons is calculated as the exchange by nonperturbative gluons, for which the cut-off parameter in the gluonic propagator is included. This modification has allowed us to analyse the inclusive hadron spectra in hadron collisions at transverse momenta up to 3–4 GeV/c.     

A system of difference equations with elliptic coefficients and bethe vectors

An elliptic analogue of theq deformed Knizhnik-Zamolodchikov equations is introduced. A solution is given in the form of a Jackson-type integral of Bethe vectors of the XYZ-type spin chains.     

用三光束干涉模型解释锥镜产生类贝塞尔光束

对高斯光束通过锥镜产生类似贝塞尔光束的环形光束进行了理论分析及实验研究.数值模拟过程中,基于相干光干涉理论,考虑到实际情况中锥尖不尖带来的影响,建立了三光束干涉的数学模型.模拟得到的光场分布与实验结果及基于菲涅尔衍射积分理论或空间光谱理论得到的零阶贝塞尔光束很接近.这种光场具有非衍射特性,可应用于新型光镊研究.     

The correlation between charge and energy flow within cascade models for quark and hadron jets

We consider the ratio \(\frac{{\Delta Q}}{{\Delta \varepsilon }}\) of the charge and energy fraction carried by particles in the angular interval ΔΩ with respect to the jet axis, where we assume a recursive scheme for the hadron cascade. A measurement of this ratio inep andvp collisions determines the quark chargeQ _q at any angle ΔΩ and ine ⁺ e ^?-annihilations alsoQ _q ⁴ can be obtained. In hadron hadron collisions this ratio discriminates in a very direct way between different production models. We consider the “stopping quark” model, the “two dual sheet” model, and finally a leading cluster model. More data on \(\frac{{\Delta Q}}{{\Delta \varepsilon }}\) would be desirable at higher energies in particular for meson beams.     

On the two-gap lame potentials and elliptic solutions of the Kovalevskaja problem connected with them

The reduction of two-gap solutions of the Korteweg-de Vries equation to two-gap Lame potentials is investigated in this paper. A new solution in terms of elliptic functions for the Kovalevskaja problem connected with the two-gap Lame potentials is obtained.     

Six-quark model of weak and electromagnetic hadron interactions

The consequences of a six-quark model of weak and electromagnetic hadron interactions are considered for highly inelastic lepton- hadron scattering.Translated from Izvestiya Vysshikh Uchebnykh Zavedenii, Fizika, No. 5, pp. 20–24, May, 1977.I wish to thank V. A. Kuz'min, A. N. Tavkhelidze, and K. G. Chetyrkin for useful discussions.     

Diagonalization of the elliptic Ruijsenaars model. Correspondence with the Belavin model

Studied is the elliptic Ruijsenaars model, which is a difference analogue of the Calogero-Sutherland-Moser model. Using a novel relationship between the elliptic Ruijsenaars operator and the transfer matrix of the Belavin model, we diagonalize the Ruijsenaars operator by the algebraic Bethe ansatz method. Received: 29 January 1998 / Accepted: 17 April 1998     

Afterglow from GRB 070610/Swift J195509.6+261406: An explanation using the fireball model

GRB 070610, which is also named Swift J195509.6+261406, is a peculiar Galactic transient with significant variability on short timescales in both X-ray and optical light curves. One possible explanation is that GRB 070610/Swift J195509.6 + 261406 is a soft gamma-ray repeater (SGR) in our Galaxy. Here, we use the fireball model, which is usually recognized as the standard model of gamma-ray burst (GRB) afterglows, and the energy injection hypothesis to interpret the X-ray and optical afterglow light curves of GRB 070610/Swift J195509.6 + 261406. It is found that the model is generally consistent with observations.