超新星SN1987A冷却中的q变形统计和轻费米子暗物质的作用
q-deformed statistics and the role of a light fermionic dark matter in the supernova SN1987A cooling
摘要：
超新星核内电子-正电子湮灭$ e^-e^+ \stackrelγ{\longrightarrow} χ\barχ$产生的轻暗物质（$\simeq 1-30~\rm{MeV}$）粒子对可以带走超新星SN 1987 A爆炸释放的能量。在$q$的形式体系中工作-变形统计（超新星核心温度（波动）的平均值为$T_{SN} = 30~\rm{MeV}$），并利用Raffelt关于任何新通道发射率的判据$\dot{\varepsilon}(e^+ e^- \to χ\overlineχ) \le 10^{19}~{erg~g^{-1}s^{-1}}$，我们发现，随着形变参数$q$从$1.0$（未变形场景）到$1.1$（变形场景），对于质量为$m_χ= 30~\rm{MeV}$的暗物质费米子，暗物质有效理论的尺度$Λ$的下限从PDMATHABMUTeV变化到PDMATHABMVTeV。利用暗物质费米子自由流动的光学深度判据，我们找到了$m_χ= 30~\rm{MeV}$的$Λ\sim 10^{8}~\rm{TeV}$的下界.在一个场景中，暗物质费米子是在超新星核心的最外层产生的（半径为$0.9 R_c \le r \le R_c$，$R_c (=10~\rm{km})$为超新星核心半径或原中子星半径），我们发现$Λ$上的界（$\sim 3 \times 10^7$ TeV）从SN冷却标准获得（Raffelt的标准）是可比的约束从自由流（光学深度标准）的质量$m_χ=10 - 30$ MeV的轻费米子暗物质。
英文摘要：
Light dark matter($\simeq 1-30~\rm{MeV}$) particles pair produced in electron-positron annihilation $ e^-e^+ \stackrelγ{\longrightarrow} χ\barχ$ inside the supernova core can take away the energy released in the supernova SN1987A explosion. Working within the formalism of $q$-deformed statistics (with the average value of the supernovae core temperature(fluctuating) being $T_{SN} = 30~\rm{MeV}$) and using the Raffelt's criterion on the emissivity for any new channel $\dot{\varepsilon}(e^+ e^- \to χ\overlineχ) \le 10^{19}~{erg~g^{-1}s^{-1}}$, we find that as the deformation parameter $q$ changes from $1.0$ (undeformed scenario) to $1.1$(deformed scenario), the lower bound on the scale $Λ$ of the dark matter effective theory varies from $3.3\times 10^6$ TeV to $3.2 \times 10^7$ TeV for a dark matter fermion of mass $m_χ= 30~\rm{MeV}$. Using the optical depth criteria on the free streaming of the dark matter fermion, we find the lower bound on $Λ\sim 10^{8}~\rm{TeV}$ for $m_χ= 30~\rm{MeV}$. In a scenerio,where the dark matter fermions are pair produced in the outermost sector of the supernova core (with radius $0.9 R_c \le r \le R_c$, $R_c (=10~\rm{km})$ being the supernova core radius or the radius of proto-neutron star), we find that the bound on $Λ$ ($\sim 3 \times 10^7$ TeV)obtained from SN cooling criteria (Raffelt's criteria) is comparable with the bound obtained from free streaming (optical depth criterion) for light fermion dark matter of mass $m_χ=10 - 30$ MeV.
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