双光子与Majorana费米子的相互作用
Two-photon interactions with Majorana fermions
摘要：
因为马约拉纳费米子是它们自己的反粒子，它们的电偶极矩和磁偶极矩必须为零，只留下阿那极点矩作为它们唯一的静态电磁性质。但诱导偶极矩的存在并不一定是禁止的。通过对真实康普顿散射的研究，探讨了马约拉纳费米子的自共轭性质对诱导矩的限制。在康普顿振幅方面，我们发现没有限制，如果相互作用是独立不变的电荷共轭，宇称，和时间反转。然而，如果相互作用在宇称下是奇数，而在时间反演下是偶数，那么这些对康普顿振幅的贡献必然消失。我们采用了一个简单的模型，通过明确的计算马约拉纳费米子的极化率来证实这些一般性的发现。然后，我们使用这些极化率估计的横截面为$s$波湮灭两个马约拉纳费米子到光子。横截面比天真的估计要大。
英文摘要：
Because Majorana fermions are their own antiparticles, their electric and magnetic dipole moments must vanish, leaving the anapole moment as their only static electromagnetic property. But the existence of induced dipole moments is not necessarily prohibited. Through a study real Compton scattering, we explore the constraints that the Majorana fermion's self-conjugate nature has on induced moments. In terms of the Compton amplitude, we find no constraints if the interactions are separately invariant under charge conjugation, parity, and time reversal. However, if the interactions are odd under parity and even under time reversal, then these contributions to the Compton amplitude must vanish. We employ a simple model to confirm these general findings via explicit calculation of the Majorana fermion's polarizabilities. We then use these polarizabilities to estimate the cross-section for $s$-wave annihilation of two Majorana fermions into photons. The cross-section is larger than a naïve estimate might suggest.
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