用于致密核物质和中子星的全息孤子晶体
Holographic Soliton Crystals for Dense Nuclear Matter and Neutron Stars
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中文总结 AI 辅助
该研究在WSS模型中从全息QCD构建核物质EOS，超越均匀假设，利用双重子相互作用势组装FCC晶体计算相关物理量，校准对称物质EOS，扩展到β平衡物质后得到与NICER约束兼容的结果。
中文摘要 AI 辅助
我们在Witten-Sakai-Sugimoto（WSS）模型中从全息量子色动力学构建核物质状态方程（EOS），超越均匀假设，通过从全息重子的孤子描述更直接地构建致密重子物质。利用点状（核心）瞬子在弯曲背景中产生的线性化孤子尾得到的双重子相互作用势，组装一个无限面心立方（FCC）晶体作为重子量子液体的近似，计算能量密度$\mathcal{E}(n_B)$、化学势$\mu_B$和压力$P$。通过固定‘t Hooft耦合$\lambda$和WSS尺度$M_{\rm KK}$到饱和密度和起始化学势特性，并包括夸克质量项以重现物理π介子质量$m_\pi = 135\,\mathrm{MeV}$来校准对称物质EOS。这种拟合结果与真空介子扇区所需参数相当接近，同时其修改与致密介质中的Brown-Rho标度一致，饱和时的不可压缩性具有正确的量级，这与均匀近似形成鲜明对比。然后我们扩展到β平衡物质，使用对称能的唯象输入，得到与NICER约束兼容的混合EOS和中子星可观测量。
英文摘要
We construct a nuclear-matter equation of state (EOS) from holographic QCD in the Witten-Sakai-Sugimoto (WSS) model, going beyond the homogeneous ansatz by building dense baryonic matter more directly from the solitonic description of holographic baryons. Employing the two-baryon interaction potential obtained from the linearized soliton tails sourced in the curved background by point-like (core) instantons, we assemble an infinite face-centered cubic (FCC) crystal with nearest neighbors in the most attractive channel as an approximation to the quantum liquid of baryons and compute the energy density $\mathcal{E}(n_B)$, the chemical potential $μ_B$, and the pressure $P$. We calibrate the symmetric-matter EOS by fixing the 't Hooft coupling $λ$ and the WSS scale $M_{\rm KK}$ to saturation-density and onset-chemical-potential properties, and by including a quark-mass term to reproduce the physical pion mass $m_π=135\,\mathrm{MeV}$. This fit turns out to remain reasonably close to the parameters required by the vacuum meson sector, while their modification is consistent with Brown-Rho scaling in a dense medium, and the incompressibility at saturation is of the correct order of magnitude, both in clear contrast to the homogeneous approximation. We then extend to beta-equilibrated matter, using phenomenological input for the symmetry energy, and obtain hybrid EOS and neutron-star observables that are compatible with the NICER constraints.
发表机构
- Technische Universität Wien（维也纳工业大学）
- Henan University（河南大学）
- University of Southern Denmark（南丹麦大学）
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