论文标题
p波两粒子结合和散射状态有限体积，包括QED
P-Wave Two-Particle Bound and Scattering States in a Finite Volume including QED
论文作者
论文摘要
得出了由于非相关性方案中QED而导致的长期相互作用的两屈服和散射的质量变化。我们首先在连续体和无限体积上下文中引入了无旋Fermions的短距力力，将无旋费费用耦合到无pionless eft的一个单位动量，在连续和无限的体积上下文中，摄取和非扰动地计算出库仑校正到fermion-fermion散射。在对粒子 - 抗粒子结合状态的研究的激励中，我们将结果扩展到相同质量和相反电荷的费物。其次，我们将系统转移到具有周期性边界条件的立方晶格上，并将有限体积校正计算为最低和未结合的$ t_1^{\ pm} $ eigenstates的能量。特别是，找到与精细结构常数成正比的电源定律校正，并类似于S波状态的最新结果。 $α$中的高阶贡献被忽略了，因为晶格环境中动量运算符的差异可以对QED相互作用进行扰动处理。
The mass shifts for two-fermion bound and scattering P-wave states subject to the long-range interactions due to QED in the non-relativistic regime are derived. Introducing a short range force coupling the spinless fermions to one unit of angular momentum in the framework of pionless EFT, we first calculate both perturbatively and non-perturbatively the Coulomb corrections to fermion-fermion scattering in the continuum and infinite volume context. Motivated by the research on particle-antiparticle bound states, we extend the results to fermions of identical mass and opposite charge. Second, we transpose the system onto a cubic lattice with periodic boundary conditions and we calculate the finite volume corrections to the energy of the lowest bound and unbound $T_1^{\pm}$ eigenstates. In particular, power law corrections proportional to the fine structure constant and resembling the recent results for S-wave states are found. Higher order contributions in $α$ are neglected, since the gapped nature of the momentum operator in the lattice environnement allows for a perturbative treatment of the QED interactions.
