通过$baryon$数密度$(n)$研究夸克星性质 within $f(Q)$引力框架
Properties of strange quark stars in $f(Q)$ gravity: A baryon number density-dependent perspective
AI总结：
本文基于MIT袋模型提出的方程状态$p_r=\ rac{1}{3}(ρ-4B)$，研究了夸克物质在星体内的稳定性，并通过TOV方程计算了最大质量和半径，验证了模型的物理可行性和适用性。
摘要：
在本文中，我们构建了一个可行的奇异星模型，基于MIT袋模型提出的方程状态$p_r=\ rac{1}{3}(ρ-4B)$，其中$B$称为袋常数。考虑了极端Wood-Saxon-like参数化形式的baryon数密度依赖的袋参数$(B)$在$f(Q)$修正引力框架下的情况。我们确定了星体内部稳定夸克物质的baryon数密度$(n)$的可能范围，并计算了相应的$B$范围。通过求解TOV方程，我们获得了考虑MIT袋模型方程状态和baryon数密度依赖的$B$的最大可能质量和半径。本文分析了与星体相关的所有物理参数，如$ρ,~p_r,~p_t$和各向异性参数$(Δ)$，以建立模型的物理可行性和可接受性。然后，我们通过分析因果条件、能量条件、广义TOV方程、Herrera的破裂条件以及流体的等熵指数来研究模型的稳定性。在用于构建模型的参数空间中，我们预测了几颗已知致密星的半径，并发现该模型适用于预测质量低于$2.46~M\odot$的星体的半径，且预测的半径与最近的观测值几乎相等。值得注意的是，直到$2.01~M\odot$，它可能被视为奇异星(SS)。另一方面，质量超过$2.01~M\odot$且至多$2.46~M\odot$的可能被视为双夸克星。
英文摘要：
We study anisotropic strange quark stars in $f(Q)$ gravity, incorporating a baryon-number-density-dependent bag function $B(n)$ into the MIT bag equation of state, $p=[ρ-4B(n)]/3$. Motivated by a Woods-Saxon parametrization, the density dependence of $B(n)$ provides a phenomenological description of the evolution of quark matter with increasing baryon density beyond the conventional constant-bag prescription. Adopting the Finch-Skea metric ansatz, we obtain exact solutions of the modified field equations for anisotropic matter composed of deconfined up, down and strange quarks. We investigate the thermodynamic stability through the energy per baryon, $E_B=ρ_0/n$, as a function of baryon density and identify the regimes corresponding to stable hadronic matter, metastable hybrid matter and absolutely stable strange quark matter. At sufficiently high densities, $E_B$ falls below the corresponding value for $^{56}$Fe, satisfying the stability criterion for strange quark matter. The resulting stability window, $57.55\leq B(n)\leq 91.55~\mathrm{MeV/fm^3}$, supports stable three-flavour quark matter. Solving the generalized Tolman-Oppenheimer-Volkoff equations, we find a maximum stellar mass of $\sim2.46,M_\odot$, demonstrating that the model can accommodate massive compact stars. The resulting configurations satisfy the relevant causality and energy condition constraints, while their stability is supported by the Herrera cracking criterion and the adiabatic index. These results demonstrate that the combined effects of nonmetricity and a density-dependent bag function can substantially enrich the phenomenology of strange quark stars and provide a viable framework for exploring their internal structure and stability in modified gravity.
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