arXivDaily arXiv每日学术速递 周一至周五更新
arXiv周末暂无论文更新,休息一下吧,周末愉快~~
arXiv 2103.14637hep-ph
收藏

考虑粒子态阻尼的一阶强场QED过程

First-order strong-field QED processes including the damping of particles states

T. Podszus, A. Di Piazza

摘要:

沃尔科夫态是狄拉克方程在任意平面波存在下的精确解。沃尔科夫态和自由光子态在背景平面波场的存在下是不稳定的,而是随着电子/正电子可以发射光子而“衰减”,光子可以转化为电子-正电子对。在局域常场近似下,利用相应的Schwinger-Dyson方程的解,计算了非线性单康普顿散射和非线性Breit-Wheeler对产生的几率,并考虑了电子、正电子和光子态的衰变效应.因此,我们发现,这些过程的概率可以表示为积分的光锥时间的已知概率有效的稳定状态每单位的光锥时间乘以光锥时间依赖于每个相互作用粒子的指数阻尼函数。在每个光锥时间处的进入(输出)电子/正电子或光子的指数函数对应于电子/正电子经由非线性康普顿散射发射光子或光子经由非线性Breit-Wheeler对产生变换成电子-正电子对直到该光锥时间(从该光锥时间开始)的总概率。有趣的是,指数阻尼项不仅取决于粒子的动量,还取决于它们的自旋(对于电子/正电子)和极化(对于光子)。这种对离散量子数的额外依赖阻止了电子/正电子自旋和光子极化求和规则的应用,该求和规则显著简化了微扰区的计算。

英文摘要:

Volkov states are exact solutions of the Dirac equation in the presence of an arbitrary plane wave. Volkov states, as well as free photon states, are not stable in the presence of the background plane-wave field but "decay" as electrons/positrons can emit photons and photons can transform into electron-positron pairs. By using the solutions of the corresponding Schwinger-Dyson equations within the locally-constant field approximation, we compute the probabilities of nonlinear single Compton scattering and nonlinear Breit-Wheeler pair production by including the effects of the decay of electron, positron, and photon states. As a result, we find that the probabilities of these processes can be expressed as the integral over the light-cone time of the known probabilities valid for stable states per unit of light-cone time times a light-cone time-dependent exponential damping function for each interacting particle. The exponential function for an incoming (outgoing) either electron/positron or photon at each light-cone time corresponds to the total probability that either the electron/positron emits a photon via nonlinear Compton scattering or the photon transforms into an electron-positron pair via nonlinear Breit-Wheeler pair production until that light-cone time (from that light-cone time on). It is interesting that the exponential damping terms depend not only on the particles momentum but also on their spin (for electrons/positrons) and polarization (for photons). This additional dependence on the discrete quantum numbers prevents the application of the electron/positron spin and photon polarization sum-rules, which significantly simplify the computations in the perturbative regime.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

↑