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Varying physical constants and the lithium problem
Astroparticle Physics ( IF 3.5 ) Pub Date : 2021-02-27 , DOI: 10.1016/j.astropartphys.2021.102578
Rajendra P. Gupta

We have used the recently published varying physical constants (VPC) approach in an attempt to resolve the primordial lithium abundance problem. The value of the ratio of 7Li to hydrogen 7Li/H = 1.400 ( ± 0.023) × 10−10 we have calculated using this approach is about four times lower than that estimated using the standard lambda cold dark matter (ΛCDM) cosmological model, and is consistent with the most agreed observational value of 1.6 ( ± 0.3) × 10−10. In the VPC approach Einstein equations are modified to include the variation of the speed of light c, gravitational constant G and cosmological constant Λ using the Einstein-Hilbert action. Application of this approach to cosmology naturally leads to the variation of the reduced Plank constant ℏ and the Boltzmann constant kB as well. They approach fixed values at the scale factor a ≪ 1: c = c0/e, G = G0/e3, ℏ = ℏ0/e and kB = kB0/e5/4, where e is the Euler's number (= 2.7183). Since the VPC cosmology reduces to the same form as the ΛCDM cosmology at very small scale factors, we could use an existing Big-Bang nucleosynthesis (BBN) code AlterBBN with the above changes to calculate the light element abundances under the VPC cosmology. Among other abundances we have calculated at baryon to photon ratio η = 6.1 × 10−10 are: 4He/H = 0.2478 ( ± 0.0041), D/H = 2.453 ( ± 0.041) × 10−5, 3He/H = 2.940 ( ± 0.049) × 10−5.



中文翻译:

变化的物理常数和锂问题

我们已使用最近发布的可变物理常数(VPC)方法来尝试解决原始的锂丰度问题。我们使用这种方法计算出的7 Li与氢的比率7 Li / H = 1.400(±0.023)×10 -10,大约比使用标准Lambda冷暗物质(ΛCDM)宇宙学模型估计的值低四倍,并且与最一致的观测值1.6(±0.3)×10 -10相一致。在VPC方法中,爱因斯坦方程被修改为包括光速c,重力常数G的变化。和使用爱因斯坦-希尔伯特作用的宇宙常数Λ。这种方法在宇宙学上的应用自然会导致降低的普朗克常数ℏ和玻耳兹曼常数k B的变化。它们接近在所述比例因子的固定值一个:«1 Ç  =  C ^ 0 / E,G  =  g ^ 0 / ë 3,ℏ=ℏ 0 / ëķ =  ķ0 / é 5/4,其中Ë是欧拉数(= 2.7183)。由于VPC宇宙学减少到相同形式作为ΛCDM宇宙在非常小的比例因子,我们可以使用现有的大爆炸核合成(BBN)代码AlterBBN与上述的变动来计算VPC宇宙下的光元素丰度。在其他的丰度在我们已经重子计算光子比η= 6.1×10 -10是:4他/ H = 0.2478(±0.0041),d / H = 2.453(±0.041)×10 -53他/ H = 2.940(±0.049)×10 -5

更新日期:2021-03-10
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