Highlights
  • Planar property and long-range azimuthal correlation in e+e annihilation
    The $ e^+e^- $ annihilation of unpolarized beams is free from initial hadron states or initial anisotropy around the azimuthal angle. Hence, it is ideal for studying the correlations of dynamical origin via final state jets. We investigate the planar properties of multi-jet events employing the relevant event-shape observables at next-to-next-to-leading order ($ {\cal{O}} $($ \alpha_{s}^{3} $)) in perturbative Quantum Chromodynamics (QCD). In particular, the azimuthal angle correlations on the long pseudo-rapidity (polar angle) range (Ridge correlation) between the inclusive jet momenta are calculated. We demonstrate that the significant planar properties and the strong correlations as the consequence are natural results of the energy-momentum conservation of the perturbative QCD radiation dynamics. Our study provides benchmarks of a hard strong interaction background for investigating the collective and/or thermal effects via the Ridge-like correlation observables for various scattering processes.
  • Functional renormalization group study of ρ meson condensate at a finite isospin chemical potential in the quark meson model
    We investigated the effect of an isospin chemical potential ($ \mu_{I} $) within the quark-meson model, which approximates quantum chromodynamics (QCD) by modeling low-energy phenomena such as chiral symmetry breaking and phase structure under varying conditions of temperature and chemical potential. Using the functional renormalization group (FRG) flow equations, we calculated the phase diagram in the chiral limit within the two-flavor quark-meson model in a finite $ \mu_{I} $ with ρ vector meson interactions. Fluctuation effects significantly decrease the critical chemical potential from the mean-field (MF) value $\mu_{I,{\rm MF}} \gt m_\rho$ to a lower value at which the ρ vector meson condensates alongside the chiral condensate once the isospin chemical potential exceeds the critical value $ \mu_{I}^{{\rm{crit}}} $. This ρ condensation was investigated numerically for different meson coupling strengths. The ρ meson dominated region is delineated from other phases by a second-order phase transition at lower $ \mu_{I} $ and a first-order transition at slightly higher $ \mu_{I} $.
  • Dynamical system and statefinder analysis of cosmological models in f(T, B) gravity
    This study systematically investigates the cosmological dynamics of two well-motivated functional forms in $f(T,B)$ gravity within a flat Friedmann-Lemaître-Robertson-Walker (FLRW) universe. Here, T denotes the torsion scalar and B the boundary term, with the special choice $f(T,B) = - T + B$ reducing to the action of general relativity. We focus on a multiplicative power-law model $f(T,B) = c_1 T^\alpha B^\beta$ and an additive mixed power-law model $f(T,B) = c_2 T^\alpha + c_3 B^\beta$. Using dynamical system techniques, we construct autonomous systems and identify de Sitter attractors that naturally explain late-time cosmic acceleration. Analytical stability conditions for these fixed points are derived, and numerical simulations reveal characteristic evolutionary patterns, such as spiral trajectories and damped oscillations, in the additive mixed power-law model. Furthermore, statefinder diagnostics are applied to quantitatively distinguish these models from the standard ΛCDM paradigm and other dark energy scenarios. The results indicate that $f(T,B)$ gravity offers a theoretically consistent and observationally distinguishable geometric framework for explaining cosmic acceleration, presenting a compelling alternative to conventional dark energy models.
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  • Enhanced energy extraction via magnetic reconnection in Kerr-AdS spacetime
    2026, 50(5): 055102-055102-15. doi: 10.1088/1674-1137/ae3db5
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    In this study, we examine the energy extraction from Kerr-AdS black holes following the magnetic reconnection process. The parameter space regions that satisfy the energy extraction condition, as well as the efficiency and power of the extracted energy, are analyzed. This study shows that the presence of a negative cosmological constant extends the range of dominant reconnection radial locations where the energy extraction condition is met and enables energy extraction, even from black holes with relatively low spin. Furthermore, the influence of the negative cosmological constant on energy extraction is modulated by the extent of the dominant reconnection radial region: a more negative cosmological constant enhances the extracted energy, efficiency, and power, particularly for smaller dominant reconnection radii. These results demonstrate that the energy extraction from Kerr-AdS black holes is more favorable than that from their asymptotically flat counterparts. Our results highlight the crucial role of the cosmological constant in energy extraction via magnetic reconnection.
  • Probing rotating Hayward black holes: magnetic-charge-induced distortions, dynamic shadows, and polarization patterns
    2026, 50(5): 055101-055101-22. doi: 10.1088/1674-1137/ae3db6
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    This study investigates the imaging properties, photon-ring structure, and polarization signatures of rotating Hayward black holes, endowed with magnetic charges. We first derive the null geodesic and polarization parallel-transport equations in the rotating Hayward spacetime and cast them into a unified system of first-order differential equations suitable for numerical ray tracing. Using a fisheye camera model, together with an angular normalization scheme, we generate black hole images illuminated by both a spherical emission source and prograde/retrograde optically thin accretion disks to analyze the resulting redshift distribution and strong gravitational lensing features. By incorporating a set of representative magnetic-field configurations—including radial, polar, toroidal, and helical geometries—we compute the corresponding polarization maps and reveal how magnetic-field structure, black-hole spin, and magnetic charge shape the electric-vector position angle and polarization intensity. Our results show that magnetic charge induces a pronounced “D-shaped” distortion of the black hole shadow and enhances the polarization structure of the photon ring. We further observe that rotating Hayward black holes exhibit observable differences from Kerr black holes in their shadow morphology, photon-ring profiles, and polarization patterns. These findings offer theoretical predictions for future ground- and space-based interferometric observations and provide potential observational diagnostics for distinguishing between conventional Kerr and regular black hole models.
  • Influence of the fission yield distribution on the nucleosynthesis in the r-process induced by neutron-star mergers
    2026, 50(5): 054103-054103-6. doi: 10.1088/1674-1137/ae3376
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    We investigate the role of nuclear fission fragment yield distributions in shaping r-process nucleosynthesis within the low-entropy environment of neutron-star-merger ejecta. Our results demonstrate that post-freeze-out fission fragment yields play a critical role in determining the abundance pattern of the second r-process peak and its right shoulder ($ 130 \lt A \lt 170$), even though most fission cycles occur before the r-process freeze-out. This study employs the semi-empirical General Fission (GEF) model to systematically characterize fission properties.
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