arXiv 1803.045402018-03hep-phastro-ph.HE

遗迹密度和Tsallis统计对轻暗物质费米子的限制

Constraints on light Dark Matter fermions from relic density consideration and Tsallis statistics

Atanu Guha, Prasanta Kumar Das

备注：: 18 Pages, 10 figures
发表信息：: J. High Energ. Phys. (2018) 2018: 139. Publisher Name : Springer Berlin Heidelberg; Online ISSN : 1029-8479
DOI：: 10.1007/JHEP06(2018)139

摘要：

超新星SN 1987 A核内产生的MeV量级的冷暗物质费米子对可以自由地从超新星中流出，从而增加了超新星的能量损失率。类似类型的DM费米子（与标准模型光子有类似的耦合），早期从其他来源产生，可能有助于宇宙的遗迹密度。在有效的暗物质-光子耦合（与尺度$Λ$成反比）的理论中，我们发现了暗物质对遗迹密度的贡献，并利用冷非重子物质遗迹密度的实验界（即$Ωh^2 = 0.1186 \pm 0.0020 $）得到了$Λ$的上界.从遗迹密度得到的上限与从超新星SN 1987 A能量损失$\dot{\varepsilon}(e^+ e^- \to χ\overlineχ) \le 10^{19}~\rm{erg~g^{-1}s^{-1}}$的发射率的Raffelt准则和暗物质费米子（产生于超新星核心内部）的自由流动的光学深度准则得到的下限。当变形参数$q$从$1.0$（未变形的情形）变化到$1.1$（变形的情形）时，对于质量为$m_χ= 30~\rm{MeV}$的费米子暗物质（$χ$），发现$Λ$上的残余密度边界从$ \sim 4.9 \times 10^7 $ TeV变化到$1.6 \times 10^8$ TeV，这几乎是由SN 1987 A能量损失率和光学深度准则得到的下限的$10$倍. \noindent {{ \bf Keywords}：暗物质，遗迹密度，超新星冷却，Tsallis统计，自由流，} }

英文摘要：

The cold dark matter fermions with mass MeV scale, pair produced inside the supernova SN1987A core, can freely stream away from the supernovae and hence contributes to its energy loss rate. Similar type of DM fermions(having similar kind of coupling to the standard model photon), produced from some other sources earlier, could have contributed to the relic density of the Universe. Working in a theory with an effective dark matter-photon coupling (inversely proportional to the scale $Λ$) in the formalism of Tsallis statistics, we find the dark matter contribution to the relic density and obtain a upper bound on $Λ$ using the experimental bound on the relic density for cold non-baryonic matter i.e. $Ωh^2 = 0.1186 \pm 0.0020 $. The upper bound obtained from the relic density is shown with the lower bound obtained from the Raffelt's criterion on the emissibity rate of the supernovae SN1987A energy loss $\dot{\varepsilon}(e^+ e^- \to χ\overlineχ) \le 10^{19}~\rm{erg~g^{-1}s^{-1}}$ and the optical depth criteria on the free streaming of the dark matter fermion (produced inside the supernovae core). As the deformation parameter $q$ changes from $1.0$ (undeformed scenario) to $1.1$(deformed scenario), the relic density bound on $Λ$ is found to vary from $ \sim 4.9 \times 10^7 $ TeV to $1.6 \times 10^8$ TeV for a fermion dark matter($χ$) of mass $m_χ= 30~\rm{MeV}$, which is almost $10$ times more than the lower bound obtained from the SN1987A energy loss rate and the optical depth criteria. \noindent {{\bf Keywords}: Dark matter, Relic density, Supernova cooling, Tsallis statistics, free-streaming, } }

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