论文标题
最小长度，核物质和中子星
Minimal Length, Nuclear Matter, and Neutron Stars
论文作者
论文摘要
在本文中，我们采用了广义不确定性原理（GUP）模型的一种变体，即KEMPF-Mangano-Mann（KMM）模型，并讨论GUP对基于相关均值均值场（RMF）模型的核和中子星事务的影响。我们将结果输入Serrano-Liška（SL）重力理论，以讨论相应的中子星（NS）特性。我们已经证明，来自核物质属性的GUP参数的上限为$β\ leq 2 \ times10^{ - 7} $ MEV $^{ - 2} $。如果我们使用此$β$上限来计算NS Matter，并且将SL参数$ \ tilde {C} $作为独立参数，我们发现SL参数的上限会修改Einstein Field方程，为$ \ tilde {C} {C} {C} \ leq 10^7 $ m $ m $^2 $。该β上限是通过考虑小于压力幅度的各向异性幅度来确定的。通过使用$β= 2 \ times10^{ - 7} $ meV $^{ - 2} $和$ \ tilde {c} = 10^7 $ m $^2 $，我们获得了满足PSR J0740+6620（sim 2.1 $ sim sim sim sim sim sim j0740+6620）的质量 - 拉迪乌斯关系，并获得更好的数据。 1.4m_ \ odot $）。我们的GUP参数上限与$^{87} $ rb冷原子循环实验的约束完全匹配。 If we consider that the same strength from the additional logarithmic term in the entropy from both GUP and SL model are dependent, for $β< 2\times10^{-7}$ MeV$^{-2}$, it is clear that SL parameter lower bound is $\tilde{c} > -16\times 10^{-34}$ m$^2$.考虑到独立参数，即$ \ tilde {c} \ leq 10^7 $ m $^2 $，该界限的幅度为$ 10^{ - 40} $比SL参数的上限幅度小。
In this paper, we employ one variant of the Generalized Uncertainty Principle (GUP) model, i.e., the Kempf-Mangano-Mann (KMM) model, and discuss the impact of GUP on the EoS of nuclear and neutron star matter based on the Relativistic Mean Field (RMF) model. We input the result in the Serrano-Liška (SL) gravity theory to discuss the corresponding Neutron Star (NS) properties. We have shown that the upper bound for the GUP parameter from nuclear matter properties is $β\leq 2\times10^{-7}$ MeV$^{-2}$. If we used this $β$ upper bound to calculate NS matter, and considering SL parameter $\tilde{c}$ as an independent parameter, we have found that the upper bound for the SL parameter, which modifies the Einstein field equation, is $\tilde{c} \leq 10^7$ m$^2$. This beta upper bound is determined by considering the anisotropy magnitude smaller than the pressure magnitude. By employing $β=2\times10^{-7}$ MeV$^{-2}$ and $\tilde{c} = 10^7$ m$^2$, we obtain the mass-radius relation that satisfies NICER data for both PSR J0740+6620 (whose mass is $\sim 2.1M_\odot$) and PSR J0030+0451 ($M\sim 1.4M_\odot$). Our GUP parameter upper bound perfectly matches the constraint from $^{87}$Rb cold-atom-recoil experiment. If we consider that the same strength from the additional logarithmic term in the entropy from both GUP and SL model are dependent, for $β< 2\times10^{-7}$ MeV$^{-2}$, it is clear that SL parameter lower bound is $\tilde{c} > -16\times 10^{-34}$ m$^2$. The magnitude of this bound is $10^{-40}$ smaller than the upper bound magnitude of SL parameter considering as independent parameter i.e., $\tilde{c} \leq 10^7$ m$^2$.
