Cosmic Type Ia supernova rate and constraints on supernova Ia progenitors

P. Palicio, F. Matteucci, M. Della Valle, E. Spitoni
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Abstract

Type Ia supernovae play a key role in the evolution of galaxies by polluting the interstellar medium with a fraction of iron peak elements larger than that released in the core-collapse supernova events. Their light curve, moreover, is widely used in cosmological studies as it constitutes a reliable distance indicator on extragalactic scales. Among the mechanisms proposed to explain the Type Ia supernovae (SNe), the single- and double-degenerate channels are thought to be the dominant ones, which implies a different distribution of time delays between the progenitor formation and the explosion. In this paper, we aim to determine the dominant mechanism by comparing a compilation of Type Ia SN rates with those computed from various cosmic star-formation histories coupled with different delay-time distribution functions. We also evaluate the relative contributions of both channels. By using a least-squares fitting procedure, we modeled the observations of Type Ia SN rates assuming different combinations of three recent cosmic star-formation rates and seven delay-time distributions. The goodness of these fits are statistically quantified by the $ test. For two of the three cosmic star-formation rates, the single degenerate scenario provides the most accurate explanation for the observations, while a combination of 34 single-degenerate- and 66 double-degenerate delay-time distributions is more plausible for the remaining tested cosmic star-formation rates. Though dependent on the assumed cosmic star-formation rate, we find arguments in favor of the single-degenerate model. From the theoretic point of view, at least sim 34 of the Type Ia SN must have been produced through the single-degenerate channel to account for the observations. The wide, double-degenerate mechanism slightly under-predicts the observations at redshift $z 1$, unless the cosmic SFR flattens in that regime. On the contrary, although the purely close double-degenerate scenario can be ruled out, we cannot rule out a mixed scenario with single- and double-degenerate progenitors.
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宇宙Ia型超新星率和Ia型超新星原生体的约束条件
Ia 型超新星在星系的演化过程中发挥着关键作用,因为它污染了星际介质,其铁峰值元素的比例大于核心坍缩超新星事件中释放的铁峰值元素的比例。此外,它们的光变曲线也被广泛用于宇宙学研究,因为它是银河系外尺度上可靠的距离指标。在解释 Ia 型超新星(SNe)的机制中,单衰变和双衰变通道被认为是最主要的,这意味着原生体形成和爆炸之间的时间延迟分布不同。在本文中,我们旨在通过比较 Ia 型 SN 的速率汇编和根据不同的宇宙恒星形成历史以及不同的延迟时间分布函数计算出的速率,来确定主导机制。我们还评估了两种渠道的相对贡献。通过使用最小二乘拟合程序,我们对Ia型SN速率的观测结果进行了建模,假设了三种近期宇宙恒星形成速率和七种延迟时间分布的不同组合。这些拟合的好坏通过 $ 检验进行统计量化。对于三种宇宙恒星形成率中的两种,单退化方案为观测提供了最准确的解释,而对于其余测试过的宇宙恒星形成率,34 种单退化和 66 种双退化延迟时间分布的组合则更为合理。尽管这取决于假定的宇宙恒星形成率,但我们发现了支持单衰变模型的论据。从理论的角度来看,至少有模拟 34 的 Ia 型 SN 必须是通过单衰变通道产生的,才能解释观测结果。宽幅双衰减机制对红移$z 1$处的观测结果的预测略显不足,除非宇宙SFR在该机制下趋于平缓。相反,虽然可以排除纯粹的近距离双蜕变情况,但我们不能排除有单蜕变和双蜕变原生体的混合情况。
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