Highlights
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Spontaneous CP violation in the D5-symmetric four-Higgs-doublet models
2026, 50(8): 083104. doi: 10.1088/1674-1137/ae68edWe constructed a four-Higgs-doublet model (4HDM) invariant under D5 symmetry and investigated its complete neutral vacuum structure in detail. Assuming explicit CP conservation in the scalar potential, we examined whether CP symmetry can be spontaneously broken. We provided a complete list of all possible real and complex vacua, along with the constraints on the potential parameters required for each vacuum solution to exist. We also discussed the positive-definiteness conditions that the Hessian must satisfy for each vacuum to be a local minimum of the potential. The results show that, after spontaneous symmetry breaking, some complex vacua lead to spontaneous CP violation in the potential, whereas the remaining complex vacua still preserve CP conservation. Among these CP-violating complex vacua, one can be regarded as the most general form. Furthermore, we discussed the relationship between real and complex vacua.
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Interpretation of Ω(2012) as a Ξ(1530)${\bar{\boldsymbol K}}$ molecular state
2026, 50(8): 083106. doi: 10.1088/1674-1137/ae6da4
We investigate the mass and strong decay properties of the $\Omega(2012)$ resonance using QCD sum rules, assuming it to be an S-wave $\Xi(1530)\bar{K}$ molecular pentaquark state with $I(J^{P})= 0({3}/{2}^{-})$. A unified interpolating current is constructed, and the two-point and three-point correlation functions are calculated up to dimension-13 and dimension-10 condensate terms in the OPE series, respectively. The negative-parity contribution is isolated by employing parity-projected sum rules. The two-body strong decays into $\Xi^0 K^-$ and $\Xi^- \bar{K}^0$ are studied using the corresponding three-point correlation functions. Our analysis yields a mass of $2.02 \pm 0.12~\mathrm{GeV}$ and a total two-body decay width of $\Gamma = 0.96^{+0.79}_{-0.41}~\mathrm{MeV}$ for the $\Xi(1530)\bar{K}$ molecular state. The ratio of the two-body decay branching fractions is obtained as $\mathcal{R}^{\Xi^- \bar{K}^0}_{\Xi^0 K^-} = 0.85$. These results are compatible with the experimental data for the $\Omega(2012)$ within uncertainties and support its interpretation as a $\Xi(1530)\bar{K}$ molecular pentaquark state. -
Acoustic black hole in hayward spacetime: shadow, quasinormal modes and analogue Hawking radiation
2026, 50(8): 085110. doi: 10.1088/1674-1137/ae7282
In this paper, we study an acoustic black hole in Hayward spacetime within the framework of relativistic Gross-Pitaevskii theory. By examining the critical null geodesics, we sketch the shadow of the acoustic horizon. The quasinormal mode (QNM) frequencies of the acoustic Hayward black hole are then computed numerically using the WKB method. The results show that these modes are more stable than those of the Hayward black hole, and that variations in the QNM frequencies are correlated with the behavior of the effective potential. We also verify the relationship between QNMs and the acoustic sphere (and the acoustic shadow) in the eikonal limit. Moreover, the WKB method is employed to calculate the grey-body factor and energy emission rate of the analogue Hawking radiation. It is shown that, as the tuning parameter increases, both the grey-body factor and the energy emission rate are enhanced, which can likewise be attributed to changes in the effective potential. In addition, the acoustic shadow radius also increases with the tuning parameter. Our work extends the acoustic black hole model to regular black hole spacetime, and the findings provide a potential application for distinguishing regular black holes from black holes with singularities in astrophysical environments via acoustic black hole effects.
Just Accepted
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Constraints on the canonical single-field slow-roll inflation model from observations
Published: 2026-08-19, doi: 10.1088/1674-1137/ae8cf2
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Charge Separation Measurements in Au+Au collisions at ${ \sqrt{{\boldsymbol s}_{\boldsymbol{NN}}}} $ = 7.7–200 GeV in Search of the Chiral Magnetic Effect
Published: 2026-08-10
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The resonance effect for the CP asymmetry associated with the process
${\boldsymbol\omega{\bf\to}{\boldsymbol\pi}^+{\boldsymbol\pi}^-{\boldsymbol\pi}^{\bf 0} }$ Published: 2025-05-26, doi: 10.1088/1674-1137/ad8ec2
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Observation of the ${\boldsymbol X(2370)}$ in ${{\boldsymbol J}/\boldsymbol\psi\rightarrow\gamma K^{0}_{S}K^{0}_{S}\pi^{0}}$ and ${J/\psi\rightarrow\gamma \pi^{0}\pi^{0}\eta}$
2026, 50(10): 101001-101001-12. doi: 10.1088/1674-1137/ae8acdShow AbstractBased on $ (10087\pm44)\times10^{6} $ $ J/\psi $ events collected with the BESIII detector, the $ J/\psi\rightarrow \gamma K^{0}_{S}K^{0}_{S}\pi^{0} $ and $ J/\psi\rightarrow \gamma \pi^{0}\pi^{0}\eta $ processes are studied. The $ X(2370) $ is observed in both the $ K^{0}_{S}K^{0}_{S}\pi^{0} $ and $ \pi^{0}\pi^{0}\eta $ invariant mass spectra, with statistical significances greater than $ 14\sigma $ and $ 20\sigma $, respectively. By combining measurements from these processes with those from the previously reported $ J/\psi\rightarrow \gamma K^{0}_{S}K^{0}_{S}\eta^{\prime} $ process, the mass and width of the $ X(2370) $ are determined to be $ 2359^{+13}_{-14}\; \text{MeV}/c^{2} $ and $ 170^{+44}_{-29}\; \text{MeV} $, respectively. In addition, the decay $ X(2370)\to a_{0}(980)^{0}\pi^{0} $ with $ a_{0}(980)^{0}\to \pi^{0}\eta $ is observed with a statistical significance exceeding $ 9\sigma $. The properties of the $ X(2370) $—decay pattern similarities to that of $ \eta_{c} $, are consistent with those of a pseudoscalar glueball.
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Effect of gravitational lensing around a black hole in a dark matter halo in the presence of plasma
2026, 50(10): 105103-105103-16. doi: 10.1088/1674-1137/ae7961Show AbstractThis article is devoted to investigating the observational properties of a Schwarzschild black hole (BH) surrounded by a dark matter (DM) halo. First, we briefly review the spacetime and analyze the event horizon radius. Subsequently, we explore the dynamics of massive and massless particles around the Schwarzschild BH surrounded by a dark matter halo, including the innermost stable circular orbit (ISCO) and photon sphere radii. We find that the ISCO radius increases under the influence of the spacetime parameters. Additionally, we investigate weak gravitational lensing assuming a uniform or non-uniform plasma surrounding the BH. Finally, we examine the impact of the plasma on the BH shadow and employ the Event Horizon Telescope (EHT) observational data to constrain the BH's parameters.
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Automated extraction of Collins–Soper kernel from lattice QCD using an autonomous AI physicist system
2026, 50(10): 103104-103104-8. doi: 10.1088/1674-1137/ae71a9Show AbstractWe employ PHYSMASTER, an AI-assisted agentic system that integrates theoretical reasoning, numerical computation, and long-horizon workflow automation, to address long-standing challenges in non-perturbative lattice analyses, including low signal-to-noise ratios at large transverse separations, complex systematic uncertainties, and labor-intensive manual workflows. Using the extraction of the Collins–Soper (CS) kernel from quasi–transverse-momentum-dependent wave functions (quasi-TMDWFs) via large-momentum effective theory (LaMET) as a showcase, we demonstrate that, once the theoretical framework, renormalization prescription, and physically motivated ansätze are specified, PHYSMASTER can automate high-dimensional fitting, renormalization, continuum–chiral extrapolation, and non-perturbative reconstruction. For the dataset considered here, the resulting multi-stage analysis can be completed within a few hours after the lattice correlators are prepared, while yielding results consistent with perturbative QCD and state-of-the-art lattice calculations. The framework stabilizes the large-$ b_\perp$ region out to 1 fm and provides a generalizable, reproducible paradigm for AI-automated studies of parton structure and other non-perturbative observables in lattice QCD.
Current Issued
2026 Vol. 50, No. 8
Published: 27 July 2026
Published: 27 July 2026
Archive
IF: 3.1
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ISSN 1674-1137 CN 11-5641/O4
Original research articles, Ietters and reviews Covering theory and experiments in the fieids of
- Particle physics
- Nuclear physics
- Particle and nuclear astrophysics
- Cosmology
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Cover Story
- Cover Story (Issue 5, 2026): Determination of Fragmentation Functions from Charge Asymmetries in Hadron Production
- Cover Story (Issue 4, 2026): Initial performance results of the JUNO detector
- Cover Story (Issue 3, 2026): Comprehensive investigation on baryon number violating nucleon decays involving an axion-like particle
- Cover Story (Issue 2, 2026) |The images of Brans-Dicke-Kerr type naked singularities
- Cover Story (Issue 1, 2026) A focused review of quintom cosmology: from quintom dark energy to quintom bounce
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