Upper Limit of Sound Speed in Nuclear Matter: A Harmonious Interplay of Transport Calculation and Perturbative QCD Constraint

التفاصيل البيبلوغرافية
العنوان: Upper Limit of Sound Speed in Nuclear Matter: A Harmonious Interplay of Transport Calculation and Perturbative QCD Constraint
المؤلفون: Tang, Shao-Peng, Huang, Yong-Jia, Han, Ming-Zhe, Fan, Yi-Zhong
سنة النشر: 2024
المجموعة: Astrophysics
Nuclear Theory
مصطلحات موضوعية: Astrophysics - High Energy Astrophysical Phenomena, Nuclear Theory
الوصف: Very recently, it has been shown that there is an upper bound on the squared sound speed of nuclear matter from the transport, which reads $c_{\rm s}^2 \leq 0.781$. In this work, we demonstrate that this upper bound is corroborated by the reconstructed equation of state (EOS; modeled with a nonparametric method) for ultra-dense matter. The reconstruction integrates multi-messenger observation for neutron stars (NSs), in particular, the latest radius measurements for PSR J0437-4715 ($11.36^{+0.95}_{-0.63}$ km), PSR J0030+0451 ($11.71^{+0.88}_{-0.83}$ km, in the ST+PDT model), and PSR J0740+6620 ($12.49^{+1.28}_{-0.88}$ km) by NICER have been adopted. The result shows in all cases, the $c_{\rm s}^2 \leq 0.781$ upper limit for EOS will naturally yield the properties of matter near center of the massive neutron star consistent with the causality-driven constraint from pQCD, where in practice, the constraint is applied at ten nuclear saturation density ($n_{\rm L}=10n_{\rm s}$). We also note that there is a strong correlation for the maximum $c_s^2$ with $n_{\rm L}$, and $c_{\rm s}^2 \leq 0.781$ is somehow violated when $n_{\rm L} = n_{\rm c,TOV}$. The result indicates that a higher density in implementing the pQCD constraint, even considering the uncertainties from statistics, is more natural. Moreover, the remarkable agreement between the outcomes derived from these two distinct and independent constraints (i.e., the transport calculation and pQCD boundary) lends strong support to their validity. Besides, the latest joint constraint for $R_{1.4}$, $R_{2.0}$, $R_{1.4}-R_{2.0}$, and $M_{\rm TOV}$ are $11.94_{-0.68}^{+0.77}$ km, $11.99_{-0.67}^{+0.88}$ km, $-0.1_{-0.27}^{+0.42}$ km, and $2.24_{-0.10}^{+0.13}M_\odot$ (at $90\%$ credible level), respectively.
Comment: 9 pages, 9 figures, updated with the most recent data release from NICER
نوع الوثيقة: Working Paper
URL الوصول: http://arxiv.org/abs/2404.09563
رقم الأكسشن: edsarx.2404.09563
قاعدة البيانات: arXiv