利用HADES探测器在T=4.53 GeV和T=1.60 GeV能量下通过质子-质子弹性散射测量微分截面与积分亮度
Measurement of Differential Cross Sections and Integrated Luminosity using Proton-Proton Elastic Scattering with HADES at T = 4.53 GeV and T = 1.60 GeV
AI总结：
本研究利用升级后的HADES探测器，在两种质子能量下通过弹性散射完成质子-质子微分截面、积分亮度等测量，为理论建模及未来同能量实验亮度测定提供参考。
AI中文摘要：
本工作基于最近升级的HADES探测器采集的数据开展质子-质子弹性散射研究，实验中动能为$T=4.53$ GeV和$T=1.60$ GeV的质子束轰击液态氢靶。这是升级后探测器装置产出的首次测量，该装置包含为PANDA实验设计的带 straw-tube 径迹平面的前向探测器。研究利用弹性散射约束良好的两体运动学关系，对探测器对准、束流对准进行研究，并完成束流能量的最终测量。此外，实验记录的亮度通过将HADES数据在与全球先前实验测量重叠的四动量转移平方$t$范围内归一化确定。进一步地，在$t$的大范围内测定了微分截面，从中提取斜率参数$B$，在$T=4.53$ GeV和$T=1.60$ GeV时分别得到$B=8.98\text{±}0.3$ (GeV/$c$)$^{-2}$和$7.3\ ext{±}0.1$ (GeV/$c$)$^{-2}$。该研究对全球质子-质子弹性散射数据库的贡献为理论建模提供输入，并作为未来同能量范围实验确定亮度的参考。
英文摘要：
This work presents an investigation of elastic proton-proton scattering based on data collected with the recently upgraded HADES detector using beams of protons with kinetic energies of $T = 4.53$ GeV and $T = 1.60$ GeV impinging on a liquid hydrogen target. This is the first measurement emerging from the upgraded detector setup, including a Forward Detector with straw-tube tracking planes designed for the PANDA experiment. The well-constrained two-body kinematic relations of elastic scattering have been exploited to study the detector alignment, the beam alignment, and to provide the final measurement of the beam energy. In addition, the recorded luminosity of the experiment has been determined by normalizing the HADES data in a range of the squared four-momentum transfer $t$ that overlaps with measurements by previous experiments worldwide. Furthermore, the differential cross sections have been determined over a large range of $t$ from which the slope parameter $B$ is extracted, yielding $B = 8.98 \pm 0.3$ (GeV/$c$)$^{-2}$ and $7.3 \pm 0.1$ (GeV/$c$)$^{-2}$ at $T = 4.53$ GeV and $1.60$ GeV, respectively. This contribution to the world database on elastic proton-proton scattering provides input to theoretical modeling and serves as a reference for luminosity determinations by future experiments in the same energy range.
