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arXiv 2212.01276gr-qc
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利用引力粒子产生计算再热温度的解析公式

An analytic formula to calculate the reheating temperature via gravitational particle production

Jaume de Haro, Llibert Aresté Saló

摘要:

对于光滑的非振荡背景,我们提出了一个解析公式,它计算了引力粒子产生过程中产生的有质量和无质量粒子的能量密度,从而给出了相应的再加热温度。它可以应用于模型的典型通货膨胀,如$α$ -吸引子,并表明,质量大于哈勃率在年底的通货膨胀,即$H_{END}$,再加热温度是指数抑制。相反,对于质量为$H_{END}$量级的原子,我们得到的最大再加热温度为$10^7$ GeV量级。最后,为了克服在经典暴胀中引力波产生过剩的限制,我们证明了确保大爆炸核合成成功的可行质量在{ $2\times 10^{10}$ GeV和$ 4\times 10^{13}$ GeV}之间的范围内,导致最大再加热温度为{ $10^5-10^7$ GeV}量级。

英文摘要:

We present for smooth non-oscillating backgrounds an analytic formula which calculates the energy density of massive and massless particles created via gravitational particle production, thus giving the corresponding reheating temperature. It can be applied to models of Quintessential Inflation such as $α$-attractors, and shows that for masses larger than the Hubble rate at the end of inflation, namely $H_{END}$, the reheating temperature is exponentially suppressed. On the contrary, for masses of the order of $H_{END}$ one obtains a maximum reheating temperature of the order of $10^7$ GeV. Finally, to overcome the constraints coming from the overproduction of Gravitational Waves in Quintessential Inflation, we have shown that the viable masses which ensure the Big Bang Nucleosynthesis success are in the range between {$2\times 10^{10}$ GeV and $ 4\times 10^{13}$ GeV}, leading to a maximum reheating temperature of the order {$10^5-10^7$ GeV}.

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