不同能量重离子碰撞流体力学演化源的干涉学分析
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摘要
对HIRFL-CSR能量下的(2+1)维流体力学演化源进行了2π干涉学分析。考虑了粒子的化学冻出(CFO)、部分化学平衡(PCE)和热冻出(TFO)发射模型。结果发现,热冻出情况下的横向和纵向速度差别很大。利用包含Rol交叉项的Bertsch-Pratt参数公式对2π关联函数进行拟合,发现交叉项对纵向HBT半径R1的影响很大。利用Yano-Koonin-Podgoretskii参数公式拟合关联函数,在LCMS参考系中,初始半径越大,源的寿命也越大。在PCMS参考系中,在较大的π对快度区域,PCE粒子发射的动力学关联大于CFO的情况。对三种粒子发射模型,源的视像半径和HBT半径都随着π对横动量的增加而减小。CFO的视像半径最小,TFO的最大。在纵向,视像半径和HBT半径都与源的初始纵向半径z。有关
对GSI-FAIR能量下柱形流体力学演化源进行HBT干涉学分析。考虑了nb/s=0.06和nb/s=0.08的两种系统。对于nb/s=0.06的系统,考虑了系统初始处在QGP相和混合相软点的两种情况。对于nb/s=0.08的系统,考虑的是初始系统处在软点和强子化点的两种情况。在LCMS参考系中,利用包含Rol交叉项的Bertsch-Pratt参数公式对HBT关联函数进行拟合。对于K介子,交叉项对nb/s=0.06系统的HBT半径影响较大。对于π介子,交叉项对初始在软点系统的HBT半径影响更加明显。利用Yano-Koonin-Podgoretskii参数化公式进行关联函数拟合,在LCMS参考系中,横向半径R⊥和纵向半径R‖随着粒子对横动量K⊥的增加而减小。粒子对快度Yππ(YKK)增加,横向半径R⊥保持不变,而纵向半径R‖和寿命R0都减小。当系统初始在软点时,源的寿命最大。在PCMS参考系中,干涉学半径与粒子对快度无关。K介子的HBT半径均小于相应的π介子的HBT半径。视像源函数分布特征半径同HBT半径随粒子对横动量的变化基本一致。在out和long方向视像源函数与高斯分布偏离较大。
基于QGP颗粒源模型,研究了极端相对论能量下重离子碰撞的π介子横动量谱和HBT干涉学。QGP颗粒按球对称流体力学演化。研究表明,QGP颗粒源模型能够得到与RHIC(?)=200GeV Au-Au和LHC(?)=2.76TeV Pb-Pb中心碰撞实验的π介子横动量谱和HBT半径数据符合的结果。相对于RHIC的碰撞,由于LHC碰撞产生系统的碎裂时间晚,颗粒源在空间横向和纵向分布的范围都更大,其HBT半径也更大。对LHC能量下的颗粒源进行视像分析,发现视像源函数分布的特征半径和2π关联函数拟合得到的HBT半径符合得很好。视像源函数在side方向和高斯分布很接近,而在out和long方向有长的尾巴。
Two-pion interferometry analysis for the hydrodynamic evolving sources in (2+1) dimen-sion at HIRFL-CSR energy are performed. The particle emission models of chemical freeze-out (CFO), partial chemical equilibrium (PCE), and thermal freeze-out (TFO) are considered. We find that there is a much difference between the transverse and longitudinal velocities in TFO case. The two-pion correlation functions are fitted with the Bertsh-Pratt parameterized formu-la with a cross-term of Rol. The fitted results indicate that the cross-term has a great impact on the longitudinal HBT radius, R1. We also fit the correlation functions with Yano-Koonin-Podgoretskii parameterized formula in LCMS and PCMS frames. In LCMS, the lifetime of source is large if the initial source radius is large. In PCMS, the dynamic correlation for PCE particle emission is stronger than that for CFO at large pair rapidity. For the three particle e-mission models, both the source imaging radii and HBT radii decrease with the increase of transverse momentum of pion pair. The imaging radius for CFO is smallest, and the radius for TFO is largest. In longitudinal direction, both the imaging radius and HBT radius are related to the longitudinal initial source radius z0.
We examine the HBT interferometry for the hydrodynamic evolution sources in cylinder geometry at GSI-FAIR energy. Two systems for nB/s=0.6and0.8are considered. For nb/s=0.06, the systems are initially located in QGP phase and at the soft point of mixed phase. For nb,/s=0.08, the systems are initially located at the soft point and hadronization point. In LCMS, the HBT correlation functions are fitted with the Bertsh-Pratt parameterized formula with the cross-term of Rol. For kaon, the effect of the cross-term on the HBT radii is great for the system with nb/s=0.06. For pion, the effect of the cross-term is more significant for the system initially at the soft point. We also fit the HBT correlation functions with Yano-Koonin-Podgoretskii parameterized formula. In LCMS, both the transverse and longitudinal radii R⊥and R‖decrease with the transverse momentum of the particle pair. The transverse radius R⊥is not sensitive to the rapidity of the particle pair, Yππ (or YKk).However, the longitudinal radius R‖and lifetime R0of source decrease with the rapidity. The systems reach their maximal lifetimes when they are initially located at soft points.In PCMS, the HBT radii are independent of the pair rapidity Yππ (or YKK). The lifetime and HBT radii for kaon sources are smaller than those for pion sources. The characteristic radii of the distributions of imaging source functions are almost as the same functions of pair transverse momentum as those for the HBT radii. The imaging source functions are much different from Gaussian distribution in out and long directions.
We investigate the transverse momentum spectra and HBT interferometry of pion in ul-trarelativistic heavy ion collisions in the granular source model of quark-gluon plasma droplets. The QGP droplets evolve hydrodynamically. We find that the results of the QGP granular source model agree well with the data of pion transverse momentum spectra and HBT radii in the cen-tral collisions of (?)=200GeV at RHIC and (?)=2.76TeV at LHC. Because the systems produced in the collisions at LHC energy have a longer breakup time than that for RHIC colli-sions, the granular sources for LHC have wider transverse and longitudinal droplet distributions in space. It leads to larger HBT radii for the collisions at LHC energy. By the imaging analysis for the granular sources at LHC energy, we find that the characteristic radii of the distributions of imaging source functions are consistent with the HBT radii obtained by correlation function fit. The imaging source function in side direction is closed to a Gaussian distribution. However, there are long tails in the imaging source functions in out and long directions.
对GSI-FAIR能量下柱形流体力学演化源进行HBT干涉学分析。考虑了nb/s=0.06和nb/s=0.08的两种系统。对于nb/s=0.06的系统,考虑了系统初始处在QGP相和混合相软点的两种情况。对于nb/s=0.08的系统,考虑的是初始系统处在软点和强子化点的两种情况。在LCMS参考系中,利用包含Rol交叉项的Bertsch-Pratt参数公式对HBT关联函数进行拟合。对于K介子,交叉项对nb/s=0.06系统的HBT半径影响较大。对于π介子,交叉项对初始在软点系统的HBT半径影响更加明显。利用Yano-Koonin-Podgoretskii参数化公式进行关联函数拟合,在LCMS参考系中,横向半径R⊥和纵向半径R‖随着粒子对横动量K⊥的增加而减小。粒子对快度Yππ(YKK)增加,横向半径R⊥保持不变,而纵向半径R‖和寿命R0都减小。当系统初始在软点时,源的寿命最大。在PCMS参考系中,干涉学半径与粒子对快度无关。K介子的HBT半径均小于相应的π介子的HBT半径。视像源函数分布特征半径同HBT半径随粒子对横动量的变化基本一致。在out和long方向视像源函数与高斯分布偏离较大。
基于QGP颗粒源模型,研究了极端相对论能量下重离子碰撞的π介子横动量谱和HBT干涉学。QGP颗粒按球对称流体力学演化。研究表明,QGP颗粒源模型能够得到与RHIC(?)=200GeV Au-Au和LHC(?)=2.76TeV Pb-Pb中心碰撞实验的π介子横动量谱和HBT半径数据符合的结果。相对于RHIC的碰撞,由于LHC碰撞产生系统的碎裂时间晚,颗粒源在空间横向和纵向分布的范围都更大,其HBT半径也更大。对LHC能量下的颗粒源进行视像分析,发现视像源函数分布的特征半径和2π关联函数拟合得到的HBT半径符合得很好。视像源函数在side方向和高斯分布很接近,而在out和long方向有长的尾巴。
Two-pion interferometry analysis for the hydrodynamic evolving sources in (2+1) dimen-sion at HIRFL-CSR energy are performed. The particle emission models of chemical freeze-out (CFO), partial chemical equilibrium (PCE), and thermal freeze-out (TFO) are considered. We find that there is a much difference between the transverse and longitudinal velocities in TFO case. The two-pion correlation functions are fitted with the Bertsh-Pratt parameterized formu-la with a cross-term of Rol. The fitted results indicate that the cross-term has a great impact on the longitudinal HBT radius, R1. We also fit the correlation functions with Yano-Koonin-Podgoretskii parameterized formula in LCMS and PCMS frames. In LCMS, the lifetime of source is large if the initial source radius is large. In PCMS, the dynamic correlation for PCE particle emission is stronger than that for CFO at large pair rapidity. For the three particle e-mission models, both the source imaging radii and HBT radii decrease with the increase of transverse momentum of pion pair. The imaging radius for CFO is smallest, and the radius for TFO is largest. In longitudinal direction, both the imaging radius and HBT radius are related to the longitudinal initial source radius z0.
We examine the HBT interferometry for the hydrodynamic evolution sources in cylinder geometry at GSI-FAIR energy. Two systems for nB/s=0.6and0.8are considered. For nb/s=0.06, the systems are initially located in QGP phase and at the soft point of mixed phase. For nb,/s=0.08, the systems are initially located at the soft point and hadronization point. In LCMS, the HBT correlation functions are fitted with the Bertsh-Pratt parameterized formula with the cross-term of Rol. For kaon, the effect of the cross-term on the HBT radii is great for the system with nb/s=0.06. For pion, the effect of the cross-term is more significant for the system initially at the soft point. We also fit the HBT correlation functions with Yano-Koonin-Podgoretskii parameterized formula. In LCMS, both the transverse and longitudinal radii R⊥and R‖decrease with the transverse momentum of the particle pair. The transverse radius R⊥is not sensitive to the rapidity of the particle pair, Yππ (or YKk).However, the longitudinal radius R‖and lifetime R0of source decrease with the rapidity. The systems reach their maximal lifetimes when they are initially located at soft points.In PCMS, the HBT radii are independent of the pair rapidity Yππ (or YKK). The lifetime and HBT radii for kaon sources are smaller than those for pion sources. The characteristic radii of the distributions of imaging source functions are almost as the same functions of pair transverse momentum as those for the HBT radii. The imaging source functions are much different from Gaussian distribution in out and long directions.
We investigate the transverse momentum spectra and HBT interferometry of pion in ul-trarelativistic heavy ion collisions in the granular source model of quark-gluon plasma droplets. The QGP droplets evolve hydrodynamically. We find that the results of the QGP granular source model agree well with the data of pion transverse momentum spectra and HBT radii in the cen-tral collisions of (?)=200GeV at RHIC and (?)=2.76TeV at LHC. Because the systems produced in the collisions at LHC energy have a longer breakup time than that for RHIC colli-sions, the granular sources for LHC have wider transverse and longitudinal droplet distributions in space. It leads to larger HBT radii for the collisions at LHC energy. By the imaging analysis for the granular sources at LHC energy, we find that the characteristic radii of the distributions of imaging source functions are consistent with the HBT radii obtained by correlation function fit. The imaging source function in side direction is closed to a Gaussian distribution. However, there are long tails in the imaging source functions in out and long directions.
引文
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