大爆炸核合成与WIMP暗物质退耦作为汤川宇宙学的探针
Big-Bang Nucleosynthesis and WIMP Dark Matter Freeze-Out as Probes of Yukawa Cosmology
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中文总结 AI 辅助
该研究以大爆炸核合成、WIMP暗物质退耦为探针，推导汤川宇宙学的修正弗里德曼方程等，得到汤川耦合的多组约束，证实其为可检验的早期宇宙物理框架。
中文摘要 AI 辅助
我们在汤川宇宙学框架下研究大爆炸核合成（BBN）。首先，我们从表观视界的热力学第一定律出发推导修正的弗里德曼方程，利用氦-4（⁴He）、氘和锂-7（⁷Li）丰度的观测数据，对汤川耦合α施加严格约束：⁴He和氘的约束相互一致，给出-0.24 ≤ α ≤ 0.12，而⁷Li的约束要求α ∈ [-0.76, -0.72]，这表明汤川宇宙学无法解决锂问题。随后，我们将分析扩展到WIMP退耦，结果显示修正的哈勃参数会改变暗物质的残余丰度，结合Ω_CDM h² = 0.120 ± 0.001得到独立约束-0.017 ≤ α ≤ 0.018；我们还推导了修正的时间-温度关系，表明正的α会提升早期宇宙温度。我们的分析证明BBN和暗物质残余丰度可作为修正引力的互补探针，研究确认汤川宇宙学是可检验的早期宇宙物理框架。
英文摘要
We investigate Big-Bang Nucleosynthesis (BBN) in the context of Yukawa cosmology. We first derive the modified Friedmann equations by starting from the first law of thermodynamics on the apparent horizon. Using observational data on \(^4\mathrm{He}\), deuterium, and \(^7\mathrm{Li}\) abundances, we place stringent bounds on the Yukawa coupling \(α\). The \(^4\mathrm{He}\) and deuterium constraints are mutually consistent (\(-0.24 \lesssim α\lesssim 0.12\)), while \(^7\mathrm{Li}\) requires $α\in [-0.76,\,-0.72]$. This indicate that Yukawa cosmology cannot resolve the Lithium Problem. We then extend our analysis to WIMP freeze-out, and show that the modified Hubble parameter alters the relic abundance, yielding an independent constraint \(-0.017 \lesssim α\lesssim 0.018\) from \(Ω_{\mathrm{CDM}}h^2 = 0.120 \pm 0.001\). We also derive the modified time-temperature relation, and show that the positive \(α\) raises the early Universe temperature. Our analysis demonstrates that BBN and dark matter relic abundance serve as complementary probes of modified gravity. Our studies confirm that Yukawa cosmology is a testable framework for early-Universe physics.
