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Application of the sample copula of order (m) in the estimation of cosmological parameters (m)阶样本联结在宇宙学参数估计中的应用
IF 1.8 4区 物理与天体物理 Q3 ASTRONOMY & ASTROPHYSICS Pub Date : 2026-02-02 DOI: 10.1007/s10509-026-04542-y
Ricardo Hoyos Argüelles

The sample copula of order (m) provides an approximation to the copula that characterizes the dependence structure of a set of random variables. In this work, we first derive the sample copula of order (m) for a random vector (X = (X_{1},ldots ,X_{d})), with (d geq 2), by extending previously established results for the bivariate case. Based on the definition of a parametric copula with piecewise constant density, we show that the maximum likelihood estimation of the density parameters coincides with the elements employed in the definition of the sample copula of order (m), under the condition (2 le m le n), where (m) is an integer divisor of (n), and (n) denotes the given sample size. In the second part, we present an application of the sample copula of order (m) as a complementary alternative for estimating the cosmological parameters (H_{0}) and (Omega _{m0}), the current values of the Hubble constant and the matter density, respectively. This is carried out using a sample of observations of the redshift (z), the Hubble parameter (H), and its measurement error. To this end, several probability distributions, in addition to the Gaussian distribution, are proposed to model the observed error in the variable (H). Moreover, the applicability of this methodology is highlighted in the context of limited sample sizes.

阶为(m)的样本联结提供了表征一组随机变量的依赖结构的联结的近似。在这项工作中,我们首先通过扩展先前建立的二元情况的结果,推导出随机向量(X = (X_{1},ldots ,X_{d}))与(d geq 2)的(m)阶样本联结。基于分段常密度参数联结的定义,我们证明了在(2 le m le n)条件下,密度参数的极大似然估计与(m)阶样本联结定义中使用的元素重合,其中(m)是(n)的整数约数,(n)表示给定的样本量。在第二部分中,我们提出了一个应用(m)阶的样本联结作为一个补充替代来估计宇宙学参数(H_{0})和(Omega _{m0}),哈勃常数和物质密度的电流值。这是通过对红移(z)、哈勃参数(H)及其测量误差的观测样本进行的。为此,除了高斯分布之外,还提出了几种概率分布来模拟变量(H)中的观测误差。此外,在样本量有限的情况下,强调了这种方法的适用性。
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引用次数: 0
A re-examination of log (textit{ft}) values and (beta )-decay modes in sd-shell nuclei sd壳核中对数(textit{ft})值和(beta )衰变模式的再检验
IF 1.8 4区 物理与天体物理 Q3 ASTRONOMY & ASTROPHYSICS Pub Date : 2026-02-02 DOI: 10.1007/s10509-026-04544-w
Wajeeha Khalid, Ammar Ahmed,  Anza, Jameel-Un Nabi

This study investigates the (beta )-decay properties of (sd)-shell nuclei using the proton-neutron quasiparticle random phase approximation (pn-QRPA) model. The computed Gamow-Teller (GT) strength distributions show decent agreement with the measured data. The calculated (beta )-decay half-lives show good agreement with the previous shell model calculations. The computed log (textit{ft}) values align well with the available experimental data, validating the consistency of the theoretical approach. A key advancement of this work is the calculation of stellar weak interaction rates performed without assuming the Brink-Axel hypothesis for the estimation of GT distributions from parent excited states. The sum of (beta ^{-}) and positron capture ((beta ^{-}) + PC) rates were compared with earlier predictions from the shell model. The percentage contribution of (beta ^{-}) and PC is also investigated under stellar conditions. At low density and high temperature ((rho =10^{7}text{ g}/text{cm}^{3}), T = 30 GK) the pn-QRPA calculation compare well with the shell model and differs at most by a factor 10. Our findings may provide crucial and refined nuclear inputs for astrophysical simulations of (r)- and (s)-process nucleosynthesis.

本文利用质子-中子准粒子随机相位近似(pn-QRPA)模型研究了(sd)壳层核的(beta ) -衰变特性。计算得到的Gamow-Teller (GT)强度分布与实测数据吻合较好。计算得到的(beta )衰变半衰期与先前的壳层模型计算结果吻合较好。计算的测井(textit{ft})值与现有的实验数据很好地吻合,验证了理论方法的一致性。这项工作的一个关键进展是计算恒星弱相互作用率,而不采用Brink-Axel假设来估计母激发态的GT分布。将(beta ^{-})和正电子捕获速率((beta ^{-}) + PC)的总和与早期壳层模型的预测进行了比较。在恒星条件下,还研究了(beta ^{-})和PC的百分比贡献。在低密度和高温下((rho =10^{7}text{ g}/text{cm}^{3}), T = 30 GK), pn-QRPA计算与壳模型比较好,最多相差10倍。我们的发现可能为(r)和(s)核合成过程的天体物理模拟提供关键和精细的核输入。
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引用次数: 0
AGN in Gaia alerts: from flares to changing look quasars 盖亚的AGN警报:从耀斑到变化的类星体
IF 1.8 4区 物理与天体物理 Q3 ASTRONOMY & ASTROPHYSICS Pub Date : 2026-01-29 DOI: 10.1007/s10509-026-04534-y
M. Dennefeld, T. Pursimo, C. Carvalho, E. Biancalani, M. A. Díaz Teodori, O. Dürfeldt Pedros, M. A. Fetzner Keniger, A. Kasikov, N. Koivisto, J. Martikainen, K. Matilainen, J. Sinkbaek Thomsen, J. Terwel, A. Viitanen

The Gaia Alerts system is providing alerts on a variety of objects displaying a significant photometric change detected by the Gaia satellite from one passage to the next one over the same region of the sky. Among the ∼23,000 alerts published until the end of 2022, around 13% concern AGN or quasar candidates. At the same time, a different method to detect variations specifically in galactic nuclei was tested on Gaia data during a one year period only, leading to another set of candidates. We have embarked on a spectroscopic ground-based follow-up of some of those, to establish their true nature, and reveal the various phenomena leading to a change in magnitude of those AGN. The present paper deals with radio-quiet objects, while the radio-loud ones will be described in a companion paper. We confirm, on one hand, the AGN/quasar nature of 64 new candidates alerted by Gaia, and, on the other hand, obtained second-epoch spectra of over 200 known AGN also alerted for large photometric variations. The observed phenomena show a large variety described in this paper: from Flares to Tidal Disruption Events (TDEs) and a large number of Changing Look Quasars (CLQs, 56 secure ones, plus 23 probable ones), not forgetting some rarer events like SNe, microlensing events or Extreme Coronal Line Emitters. This sample shows that variability is an excellent tool to detect new quasars, especially radio-quiet ones that otherwise would be undetected, and that a significant fraction of variable AGN/quasars, around 10%, presents the CLQ phenomenon. Some of the new CLQs are followed-up to monitor further changes and measure time scales.

盖亚警报系统对各种物体发出警报,显示盖亚卫星在同一区域的天空中从一个通道到下一个通道检测到的显著光度变化。在2022年底之前发布的约23,000个警报中,约13%与AGN或类星体候选者有关。与此同时,另一种检测星系核变化的方法在盖亚数据上进行了为期一年的测试,从而得出了另一组候选者。我们已经开始对其中一些进行光谱地面跟踪,以确定它们的真实性质,并揭示导致这些AGN大小变化的各种现象。本文讨论的是无线电静音物体,而无线电大声物体将在另一篇论文中描述。我们一方面确认了64个新候选的AGN/类星体的性质,另一方面获得了超过200个已知AGN的第二历元光谱,这些AGN也有较大的光度变化。观察到的现象在论文中描述了大量的变化:从耀斑到潮汐破坏事件(TDEs)和大量的改变外观类星体(clq, 56个安全的,加上23个可能的),不要忘记一些罕见的事件,如SNe,微透镜事件或极端日冕线发射器。这个样本表明,变异性是探测新类星体的一个很好的工具,特别是那些没有无线电信号的类星体,否则它们将无法被探测到,而且很大一部分的可变AGN/类星体,大约10%,呈现出CLQ现象。对一些新的clq进行跟踪,以监测进一步的变化和测量时间尺度。
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引用次数: 0
Surface gravitational redshift in neutron star at finite temperature 有限温度下中子星表面引力红移
IF 1.8 4区 物理与天体物理 Q3 ASTRONOMY & ASTROPHYSICS Pub Date : 2026-01-27 DOI: 10.1007/s10509-026-04539-7
Gérald Faussurier

We present calculations concerning the surface gravitational redshift in neutron star at finite temperature using general relativity. The method is presented explicitly in detail. Numerical applications are shown and discussed. Confrontation with experiment and other calculations is performed with some success. In addition to use more complex cold or hot equation of state for the nuclear matter than the free neutron one to describe massive neutron stars, this work shows that we can also take into account the temperature.

本文用广义相对论计算了有限温度下中子星表面引力红移。详细地阐述了该方法。给出了数值应用并进行了讨论。与实验和其他计算进行了对比,取得了一定的成功。除了使用比自由中子更复杂的核物质冷或热状态方程来描述大质量中子星外,这项工作表明我们还可以考虑温度。
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引用次数: 0
Kernel density estimation approach to characterizing field-aligned irregularities from equatorial atmosphere radar observations 核密度估计方法表征赤道大气雷达观测的场向不规则性
IF 1.8 4区 物理与天体物理 Q3 ASTRONOMY & ASTROPHYSICS Pub Date : 2026-01-27 DOI: 10.1007/s10509-026-04543-x
Dyah Rahayu Martiningrum, Suhaila M. Buhari, Prayitno Abadi, Sri Ekawati, Rezy Pradipta

Field-aligned irregularities (FAI) are a persistent feature of the equatorial ionosphere and can significantly impact satellite-based communication and navigation systems. Despite extensive documentation of their large-scale occurrence patterns, there is still a lack of understanding regarding their short-term temporal variability and detection uncertainty. To address this, a statistical framework based on Kernel Density Estimation (KDE) was developed to investigate the temporal characteristics of FAI events with higher resolution. Data from the Equatorial Atmosphere Radar (EAR) in West Sumatra, Indonesia, were analyzed, focusing on two years: 2016 (a leap year) and 2017 (a non-leap year). KDE was applied to generate smoothed daily probability estimates of FAI occurrence, along with associated confidence intervals, allowing the temporal evolution of FAI activity to be visualized more clearly. To examine short-term variability, FAI events are grouped into 1-day, 2-day, and 3-day sequential patterns. Results show consistent seasonal signatures across both years, suggesting stable ionospheric behaviours despite differences in calendar structure. The KDE approach captures fluctuations more clearly than standard methods and highlights subtle patterns in event occurrences. This method offers a reproducible way to study FAI dynamics and can be extended to multi-year or multi-site analyses. It supports a more complex conception of equatorial ionospheric variability and its relevance to space weather monitoring and forecasting, where precise characterization of ionospheric disturbances is essential.

场向不规则性(FAI)是赤道电离层的一个持续特征,可以显著影响卫星通信和导航系统。尽管大量文献记录了它们的大规模发生模式,但对它们的短期时间变异性和探测的不确定性仍然缺乏了解。为了解决这个问题,开发了一个基于核密度估计(KDE)的统计框架,以更高的分辨率研究FAI事件的时间特征。研究人员分析了印度尼西亚西苏门答腊岛赤道大气雷达(EAR)的数据,重点分析了2016年(闰年)和2017年(非闰年)这两年的数据。应用KDE生成FAI发生的平滑日概率估计,以及相关的置信区间,从而使FAI活动的时间演变更清晰地可视化。为了检查短期变异性,FAI事件被分为1天、2天和3天的顺序模式。结果显示,这两年的季节特征一致,表明尽管日历结构不同,电离层行为稳定。KDE方法比标准方法更清楚地捕获波动,并突出显示事件发生中的微妙模式。该方法为研究FAI动态提供了一种可重复的方法,并可扩展到多年或多地点的分析。它支持赤道电离层变率的更复杂概念及其与空间天气监测和预报的相关性,在空间天气监测和预报中,电离层扰动的精确特征是必不可少的。
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引用次数: 0
The abundances of carbon and nitrogen in the atmospheres of classical Be stars 经典Be恒星大气中碳和氮的丰度
IF 1.8 4区 物理与天体物理 Q3 ASTRONOMY & ASTROPHYSICS Pub Date : 2026-01-26 DOI: 10.1007/s10509-026-04538-8
Geraldine J. Peters, Kenneth G. Gayley, Rina G. Rast, Jorick S. Vink, Jeremy J. Drake

Hot stars born as rapid rotators are expected to induce meridional currents that mix hydrogen from the envelope into the core and return CNO-cycle processed material to the envelope, which should enhance the N at the surface at the expense of C and possibly also O depending on the ambient conditions. But the photospheric C and N abundances could also be influenced by mass transfer in a close binary system which spins up the mass gainer and deposits either processed or unprocessed material to its surface depending on just how much material has been peeled off the mass donor. We focus on the chemical composition of Be star photospheres to infer the present and past evolution of rapidly rotating early B stars. To mitigate the effects of gravity darkening and photospheric line blending on the abundances, we chose 8 Be stars with low (vsin i) that have good high-resolution FUV spectra in the IUE archive. We carried out a conventional NLTE abundance analysis of selected N iii, N i, and C iii lines in the FUV spectral region. We find clear evidence that the C iii 1176 Å multiplet is weak in the core region in most program stars, suggesting CNO processing. However, in all cases we infer a N abundance that is solar or less, raising a conundrum as to what happened to the “missing C.” Since a similar pattern of weak C yet normal N is also found in the mass gainer in some Algol binaries, there appears to be an emerging challenge to explain this apparent abundance anomaly. We speculate that the excess N from CNO processing might be converted into O (and perhaps on to Ne) by fusion with He in the hot but low-density regions either in the trail of ashes just outside the receding carbon-fusing core, or in He-shell flash regions, of a highly evolved mass loser in its final stage of mass transfer.

作为快速旋转体诞生的热恒星预计会产生子向电流,将包络层的氢混合到核心中,并将碳氧循环处理过的物质返回包络层,这将以牺牲C为代价提高表面的N,可能还会增加O,这取决于环境条件。但是光球C和N丰度也可能受到紧密双星系统中质量传递的影响,该系统旋转质量获得体,并将加工或未加工的物质沉积到其表面,这取决于从质量供体剥离的物质的多少。我们将重点放在Be星光球的化学成分上,以推断快速旋转的早期B星的现在和过去的演化。为了减轻重力变暗和光球线混合对丰度的影响,我们在IUE档案中选择了8颗具有高分辨率FUV光谱的低(vsin i) Be星。我们在FUV光谱区对选定的N iii、N i和C iii谱线进行了常规的NLTE丰度分析。我们发现明显的证据表明,C iii 1176 Å多星在大多数计划恒星的核心区域是弱的,这表明CNO处理。然而,在所有情况下,我们推断出的N丰度都是太阳或更少,这就提出了一个难题,即“丢失的c”发生了什么。由于在一些大人马座双星的质量增益中也发现了类似的弱C和正常N的模式,因此解释这种明显的丰度异常似乎是一个新的挑战。我们推测,从CNO过程中产生的多余的N可能通过与He在热但低密度的区域中的聚变转化为O(也可能转化为Ne),这些区域要么在后退的碳聚变核心外的灰烬痕迹中,要么在质量转移的最后阶段高度演化的质量损失体的He壳闪光区域中。
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引用次数: 0
Proton-iron discrimination with stacking ensembles 用叠加系综进行质子-铁鉴别
IF 1.8 4区 物理与天体物理 Q3 ASTRONOMY & ASTROPHYSICS Pub Date : 2026-01-22 DOI: 10.1007/s10509-026-04535-x
Mei-Lin Liu, Lin-Lin Wu, Jun-Yu Hu, Yu-Fan Fan, Yu-Jie Cai, Yong-Liang Wang, Ming-Ming Kang, Hua Bao, Qi Gao

We used CORSIKA to simulate extensive air showers initiated by primary protons and iron nuclei at an energy of 30 TeV and a zenith angle of 0. By analyzing secondary particles within 0-600 m from the shower axis, we extracted statistical-moment features for the electromagnetic and muonic components, and fitted the radial distributions of both components with the NKG function to obtain the age parameters and particle-number parameters (Georgios in EPJ Web Conf. 137:13001, 2017). We first constructed a stacking ensemble model (with XGBoost, Random Forest (RF), and Support Vector Machines (SVMs) as base learners, and Logistic Regression as the meta-learner) for proton-iron classification, and then introduced single classifiers (SVM, XGBoost, and Random Forest) as benchmarks to validate the reliability of the stacking framework. The area under the ROC curve (AUC) and the Q-factor were used as evaluation metrics for composition discrimination. The results show that, under this idealized proton-iron setting, the single classifiers already reach near-saturated performance (AUC close to 1). The stacking model achieves an AUC of 0.995 on an independent test set, with a maximum Q ≈1 × 10(mathtt{^{4}}) in the threshold scan. The comparable performance between stacking and the single models indicates that the stacking framework is stable and reliable for this task; the lack of a significant performance gain is mainly due to the idealized physical setup and the strong class separability, which leave limited room for improvement beyond the single-model ceiling. This workflow can serve as a baseline for future composition-discrimination studies that incorporate detector response, noise/systematic uncertainties, and broader energy and zenith-angle ranges.

我们使用CORSIKA模拟了由初级质子和铁核以30 TeV的能量和0°天顶角引发的大范围空气阵雨。通过分析距离淋浴轴0 ~ 600 m范围内的二次粒子,提取电磁分量和介子分量的统计矩特征,并利用NKG函数拟合这两个分量的径向分布,得到年龄参数和粒子数参数(Georgios in EPJ Web Conf. 137:13001, 2017)。我们首先构建了一个用于质子铁分类的堆叠集成模型(以XGBoost、Random Forest (RF)和支持向量机(SVM)为基础学习器,以Logistic回归为元学习器),然后引入单个分类器(SVM、XGBoost和Random Forest)作为基准来验证堆叠框架的可靠性。以ROC曲线下面积(AUC)和q因子作为成分判别的评价指标。结果表明,在这种理想的质子-铁设置下,单个分类器已经达到接近饱和的性能(AUC接近1)。叠加模型在独立测试集上的AUC为0.995,在阈值扫描中最大Q≈1 × 10 (mathtt{^{4}})。叠加模型与单一模型的性能比较表明,该叠加框架稳定可靠;缺乏显著的性能增益主要是由于理想化的物理设置和强大的类可分离性,这使得在单一模型上限之外的改进空间有限。该工作流程可以作为未来成分识别研究的基线,包括探测器响应、噪声/系统不确定性以及更广泛的能量和天顶角范围。
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引用次数: 0
An autonomous approach to model daytime behavior of sub-ionospheric VLF signals over short and medium propagation paths in India 模拟印度中短传播路径上亚电离层VLF信号日间行为的自主方法
IF 1.8 4区 物理与天体物理 Q3 ASTRONOMY & ASTROPHYSICS Pub Date : 2026-01-22 DOI: 10.1007/s10509-026-04541-z
Sayak Chakraborty, Tamal Basak, Sourav Palit, Sandip K. Chakrabarti

We present an autonomous model to simulate the daytime variation of sub-ionospheric Very Low Frequency (VLF) signal amplitude, beginning with the computation of the D-region electron density by numerically solving the electron continuity equation (ECE). From the resulting altitude-dependent electron density profile ((N_{e})), we extract Wait’s ionospheric parameters ((h^{prime }) and (beta )) using a log-linear fitting method. The study focuses on two VLF propagation paths (one short and one medium in length) in India, originating from the VTX / 18.2 kHz transmitter. The model effectively employs the Long Wave Propagation Capability (LWPC) framework to reproduce the daytime VLF signal amplitude profile. It accurately captures the daytime variations observed at the Bengaluru (BAN) station, where the ground wave component is dominant, as well as at Khukurdaha, WB (KHK). A quantitative comparison between the simulated ((A_{sim})) and ((A_{obs})) observed amplitudes shows justified agreement, validating the physical consistency and possible predictive capability of the proposed approach.

我们提出了一个模拟亚电离层甚低频(VLF)信号振幅的日间变化的自主模型,首先通过数值求解电子连续性方程(ECE)计算d区电子密度。根据得到的与海拔高度相关的电子密度分布图((N_{e})),我们使用对数线性拟合方法提取了Wait的电离层参数((h^{prime })和(beta ))。研究的重点是印度的两个VLF传播路径(一个短的和一个中等的长度),起源于VTX / 18.2 kHz发射机。该模型有效地利用长波传播能力(LWPC)框架再现了白天VLF信号的幅度分布。它准确地捕获了在地波分量占主导地位的班加罗尔(BAN)站和库库尔达哈(KHK)站观测到的白天变化。模拟((A_{sim}))和((A_{obs}))观测振幅之间的定量比较显示了合理的一致性,验证了所提出方法的物理一致性和可能的预测能力。
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引用次数: 0
Superluminous supernovae: diverse rise times explain diverse spectra 超亮超新星:不同的上升时间解释不同的光谱。
IF 1.8 4区 物理与天体物理 Q3 ASTRONOMY & ASTROPHYSICS Pub Date : 2026-01-19 DOI: 10.1007/s10509-026-04540-0
Matt Nicholl

Type I superluminous supernovae (SLSNe) are a diverse class of exceptionally bright massive star explosions, which typically exhibit absorption from ionised oxygen in their early spectra. While their photometric properties (luminosity and duration) both span an order of magnitude, population studies suggest that these distributions are continuous. However, spectroscopic samples have shown some indications of distinct sub-types, either through similarity to certain prototype objects, or in terms of their velocity evolution. Here we show that a well-observed SLSN, PTF12dam, completely changes its O II absorption profile as it rises to maximum light, moving from one proposed sub-type to another. This supports an interpretation where spectroscopic diversity is driven by the ejecta temperature at maximum light, rather than fundamental differences in the explosion or progenitor. Motivated by this, we develop a new diagnostic, the Brightness-Timescale-Temperature-Radius diagram, and a simple toy model for the evolution of the photospheric velocity, to show that diversity in the light curve rise time (likely due to differences in ejected mass) naturally explains why SLSNe with broader light curves generally have weaker O II lines, lower photospheric velocities after maximum, and slower changes in photospheric velocity over time. We show that the velocity distribution of the known SLSN population favours a relatively flat ejecta density profile, consistent with a hot bubble inflated by a central engine.

I型超亮超新星(SLSNe)是一类异常明亮的大质量恒星爆炸,在它们的早期光谱中通常表现出对电离氧的吸收。虽然它们的光度特性(光度和持续时间)都跨越了一个数量级,但种群研究表明,这些分布是连续的。然而,光谱样品显示出一些不同的子类型的迹象,要么是通过与某些原型物体的相似性,要么是根据它们的速度演变。在这里,我们发现一个被充分观测到的SLSN PTF12dam,当它上升到最大光时,完全改变了它的O II吸收曲线,从一个提议的子类型移动到另一个。这支持了一种解释,即光谱多样性是由最大光下的喷出物温度驱动的,而不是由爆炸或起源的根本差异驱动的。基于此,我们开发了一种新的诊断方法,即亮度-时间尺度-温度-半径图和光球速度演化的简单模型,以表明光曲线上升时间的多样性(可能是由于喷射质量的差异)自然地解释了为什么光曲线较宽的SLSNe通常具有较弱的O II线,最大光球速度后较低,和光球速度随时间的变化较慢。我们发现,已知SLSN群的速度分布倾向于相对平坦的喷射物密度分布,与中央发动机膨胀的热泡一致。
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引用次数: 0
Photon sphere structure in Hayward regular black holes immersed in power-law plasma media 幂律等离子体介质中Hayward规则黑洞的光子球结构
IF 1.8 4区 物理与天体物理 Q3 ASTRONOMY & ASTROPHYSICS Pub Date : 2026-01-15 DOI: 10.1007/s10509-026-04537-9
Ali Hasnain

Astrophysical plasma environments and quantum-gravity-inspired spacetime regularization collectively modify photon dynamics near compact objects, yet their coupled impact on photon sphere structure remains unquantified. This study examines the photon sphere radius ((r_{mathrm{ph}})) for static Hayward regular black holes immersed in a cold, non-magnetized plasma with a power-law density profile ((omega _{p}^{2} propto r^{-k})). The modified condition for circular photon orbits, incorporating the regularization parameter (l) and plasma strength (K), was numerically solved across physical parameter ranges. Results demonstrate a consistent inward shift of (r_{mathrm{ph}}) relative to the Schwarzschild vacuum case, with individual increases in (l) (to (1.0M)) or (K) (to 0.5) reducing (r_{mathrm{ph}}) by up to (12.7%) and over (18%), respectively. Crucially, combined effects exhibit nonlinear synergy: the contraction exceeds additive expectations, peaking at (l approx 0.8M) and (K approx 0.3) with a residual shift (Delta r_{mathrm{ph}}/M approx -0.32) and a total shift (delta r_{mathrm{ph}}^{mathrm{total}}/M approx -0.32) for typical accretion parameters ((k = 1.5)). This synergy, arising from the combined amplification by plasma gradients and quantum-corrected curvature, enhances sensitivity to plasma strength by (60%) compared to singular geometries. The corresponding 4–(12%) reduction in black hole shadow diameter underscores the significance of these interactions for interpreting next-generation interferometric observations of strong-gravity lensing features.

天体物理等离子体环境和量子引力激发的时空正则化共同改变了紧致物体附近的光子动力学,但它们对光子球结构的耦合影响仍未量化。本研究考察了沈浸在具有幂律密度分布((omega _{p}^{2} propto r^{-k}))的冷非磁化等离子体中的静态海沃德规则黑洞的光子球半径((r_{mathrm{ph}}))。采用正则化参数(l)和等离子体强度(K)对圆形光子轨道的修正条件进行了跨物理参数范围的数值求解。结果表明,相对于史瓦西真空情况,(r_{mathrm{ph}})的内移是一致的,个别增加(l)(到(1.0M))或(K)(到0.5),(r_{mathrm{ph}})分别减少到(12.7%)和(18%)以上。至关重要的是,联合效应表现出非线性协同作用:收缩超出了可加性预期,在(l approx 0.8M)和(K approx 0.3)处达到峰值,典型吸积参数((k = 1.5))的残余位移(Delta r_{mathrm{ph}}/M approx -0.32)和总位移(delta r_{mathrm{ph}}^{mathrm{total}}/M approx -0.32)。这种协同作用是由等离子体梯度和量子校正曲率的联合放大引起的,与单一几何形状相比,通过(60%)提高了对等离子体强度的灵敏度。相应的4 - (12%)黑洞阴影直径的减小强调了这些相互作用对于解释下一代强引力透镜特征的干涉观测的重要性。
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Astrophysics and Space Science
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