标题： 在太阳系尺度上利用行星历表 INPOP 约束无质量膨胀子理论 显示英文标题

标题： Constraining massless dilaton theory at Solar system scales with the planetary ephemeris INPOP

摘要： 我们揭示了在太阳系中质量为零的标量玻色子理论的现象学，该理论中表示标量场的标量场与物质之间存在非普遍的二次耦合。 从该理论的作用量中推导出$N$体系统的修正牛顿运动方程和光行时间。 我们利用太阳系主要行星的物理特性，在线性耦合情况下将需要测试的参数数量减少到3个。 在线性情况下，我们有一个普遍的耦合常数$\alpha_0$，以及两个分别与陆地天体和气态天体相关的耦合常数$\alpha_T$和$\alpha_G$。 然后我们使用行星历表 INPOP19a 来限制这些常数。 我们成功地限制了线性耦合情景，限制结果为$\alpha_0=(1.01\pm23.7)\times 10^{-5}$、$\alpha_T=(0.00\pm24.5)\times 10^{-6}$、$\alpha_G=(-1.46\pm12.0)\times 10^{-5}$，置信度为99.5%。 显示英文摘要

摘要： We expose the phenomenology of the massless dilaton theory in the Solar system for a non universal quadratic coupling between the scalar field which represents the dilaton, and the matter. Modified post-Newtonian equations of motion of an $N$-body system and the light time travel are derived from the action of the theory. We use the physical properties of the main planets of the Solar system to reduce the number of parameters to be tested to 3 in the linear coupling case. In the linear case, we have an universal coupling constant $\alpha_0$ and two coupling constants $\alpha_T$ and $\alpha_G$ related respectively to the telluric bodies and to the gaseous bodies. We then use the planetary ephemeris, INPOP19a, in order to constrain these constants. We succeeded to constrain the linear coupling scenario and the constraints read $\alpha_0=(1.01\pm23.7)\times 10^{-5}$, $\alpha_T=(0.00\pm24.5)\times 10^{-6}$, $\alpha_G=(-1.46\pm12.0)\times 10^{-5}$, at the 99.5 \% C.L.