Neufeld R B, Müller B
Department of Physics, Duke University, Durham, North Carolina 27708, USA.
Phys Rev Lett. 2009 Jul 24;103(4):042301. doi: 10.1103/PhysRevLett.103.042301. Epub 2009 Jul 21.
We calculate the total energy deposited into the medium per unit length by fast partons traversing a quark-gluon plasma. The medium excitation due to collisions is taken to be given by the well-known expression for the collisional drag force. The radiative energy loss of the parton contributes to the energy deposition because each radiated gluon acts as an additional source of collisional energy loss in the medium. We derive a differential equation which governs how the spectrum of radiated gluons is modified when this energy loss is taken into account. This modified spectrum is then used to calculate the additional energy deposition due to the interactions of radiated gluons with the medium. Numerical results are presented for the medium response for the case of two energetic back-to-back partons created in a hard interaction.
我们计算了快速部分子穿过夸克 - 胶子等离子体时每单位长度沉积到介质中的总能量。由于碰撞引起的介质激发被认为由碰撞阻力的著名表达式给出。部分子的辐射能量损失对能量沉积有贡献,因为每个辐射的胶子在介质中充当碰撞能量损失的额外源。我们推导了一个微分方程,该方程控制着当考虑这种能量损失时辐射胶子谱如何被修改。然后,这个修改后的谱被用于计算由于辐射胶子与介质的相互作用而产生的额外能量沉积。给出了在硬相互作用中产生的两个高能背靠背部分子情况下介质响应的数值结果。