论文标题
将光子质量与螃蟹脉冲星和FRB 180916b的脉冲界限
Bounding the Photon Mass with the Dedispersed Pulses of the Crab Pulsar and FRB 180916B
论文作者
论文摘要
通过分析来自同一天体物理源的不同频率的光子的到达时间差,已经设定了光子质量的紧密限制。但是,所有这些约束都依赖于使用非零光子质量引起的色散的一阶泰勒膨胀。在这项工作中,我们对泰勒级数的二阶导数进行了对非零光子质量色散的分析。如果校正所有已知效应的到达时间延迟(包括由于血浆和光子质量效应引起的一阶延迟时间),假定由非零光子质量分散体的二阶项所主导,则可以估计光子质量的保守上限。在这里,我们表明,随着二级时间的延迟延迟的脉冲脉冲和快速无线电爆发FRB 180916b在光子质量上施加了严格的限制,即$ m_ {γ,2} \ leq 5.7 \ leq 5.7 \ leq5.7 \ times10^{-46}} { - 46}} \; {\ rm kg} \ sime-sime-sime-sime-sime-sime-sime-sime-sime-sime-sime-sime-sime-sime-sime-sime-sime-sime-sime-sime-sime-sime-sime-sime- {\ rm ev}/c^{2} $和$ m_ {γ,2} \ leq6.0 \ times10^{ - 47} \; {\ rm kg} \ rm kg} \ simeq3.4 \ times10^{ - times10^{ - 11}}}} \; {\ rm ev}/c^{2} $。这是第一次研究可能的二阶光子质量效应。
Tight limits on the photon mass have been set through analyzing the arrival time differences of photons with different frequencies originating from the same astrophysical source. However, all these constraints have relied on using the first-order Taylor expansion of the dispersion due to a nonzero photon mass. In this work, we present an analysis of the nonzero photon mass dispersion with the second-order derivative of Taylor series. If the arrival time delay corrected for all known effects (including the first-order delay time due to the plasma and photon mass effects) is assumed to be dominated by the second-order term of the nonzero photon mass dispersion, a conservative upper limit on the photon mass can be estimated. Here we show that the dedispersed pulses with the second-order time delays from the Crab pulsar and the fast radio burst FRB 180916B pose strict limits on the photon mass, i.e., $m_{γ,2} \leq5.7\times10^{-46}\;{\rm kg}\simeq3.2\times10^{-10}\; {\rm eV}/c^{2}$ and $m_{γ,2} \leq6.0\times10^{-47}\;{\rm kg}\simeq3.4\times10^{-11}\; {\rm eV}/c^{2}$, respectively. This is the first time to study the possible second-order photon mass effect.