用Korea-IBS-Daegu-SKKU密度泛函研究准弹性区的电子散射
Inclusive electron scattering in the quasielastic region with Korea-IBS-Daegu-SKKU density functional
摘要：
在KIDS（Korea-IBS-Daegu-SKKU）密度泛函模型的框架下，研究了准弹性区域内包含$(e,e')$反应中核子的等效质量、等效质量以及核介质中对称能的影响.有效质量在$(0.7 \sim 1.0)M$与自由核子质量$M$的范围内变化，对称能在核数据和中子星观测允许的不确定度内变化。在KIDS模型中，通过调整状态方程、各种稳定核的结合能和半径以及核子的有效质量，求解Hartree-Fock方程，生成靶核内核子的波函数。利用得到的波函数，计算了包含$(e,e')$反应的微分截面，并与Bates，Saclay和SLAC的实验结果进行了比较.我们的模型更好地描述实验数据在SLAC型高入射电子能量比从贝茨和Saclay测量。有效质量和对称能对纵向截面的影响是精确的。
英文摘要：
With the framework of KIDS (Korea-IBS-Daegu-SKKU) density functional model, the isoscalar and isovector effective masses of nucleon and the effect of symmetry energy in nuclear medium are investigated in inclusive $(e,e')$ reaction in quasielastic region. The effective masses are varied in the range $(0.7 \sim 1.0)M$ with free nucleon mass $M$, and the symmetry energy is varied within the uncertainty allowed by nuclear data and neutron star observation. The wave functions of nucleons inside target nucleus are generated by solving Hartree-Fock equation with adjusting equation of state, binding energy and radius of various stable nuclei, and effective mass of nucleon in the KIDS model. With the obtained wave functions, we calculate the differential cross section for the inclusive $(e,e')$ reaction and compare the theoretical results with Bates, Saclay, and SLAC experimental data. Our model describes experimental data better at SLAC-type high incident electron energy than those measured from Bates and Saclay. The influence of the effective mass and symmetry energy appears to be precise on the longitudinal cross section.
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