关于$Λ$自旋极化测量的解释
On the interpretation of $Λ$ spin polarization measurements
摘要:
讨论了相对论重离子碰撞中产生的$Λ$超子自旋极化的物理解释。我们建议,在$Λ$静止坐标系中测量的偏振应沿总角动量的方向投影,该总角动量首先转换到同一坐标系中,然后才在质心坐标系中对具有不同动量的$Λ$进行平均。虽然这一过程不影响在宽横动量范围内进行的电流测量,但对于所研究的最具能量的超子(横动量达到4-5 GeV/c),它可能变得重要(代表约10%的校正)。所提出的处理一般更适合于相对论性$Λ$。在整个论文中,我们提供了各种助推,旋转和角分布变换的显式表达式,这可能有助于将模型预测与实验结果进行比较。
英文摘要:
The physics interpretation of the recent measurements of the spin polarization of $Λ$ hyperons produced in relativistic heavy-ion collisions is discussed. We suggest that the polarization measured in the $Λ$ rest frame should be projected along the direction of the total angular momentum that is first transformed to the same frame, and only then averaged over $Λ$'s with different momenta in the center-of-mass frame. While this procedure does not affect the current measurements done in a broad transverse-momentum range, it may become important (represent a correction of about 10\%) for the most energetic hyperons under study (with transverse momenta reaching 4-5 GeV/c). The proposed treatment is generally more appropriate for relativistic $Λ$'s. Throughout the paper, we deliver explicit expressions for various boosts, rotations, and transformations of angular distributions, which may help to compare model predictions with the experimental results.
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