Highlights
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Spontaneous scalarization of regular Hayward black holes in Einstein-nonlinear electromagnetic-scalar gravity
2026, 50(9): 095104. doi: 10.1088/1674-1137/ae836d
Regular Hayward black holes provide a useful setting for investigating scalarization in theories with nonminimally coupled matter sectors. Within the framework of Einstein-nonlinear electromagnetic-scalar gravity, we identify the tachyonic threshold that signals the bifurcation from the bald Hayward background and then obtain scalarized charged black holes for both quadratic $ (1-\alpha\phi^2) $ and exponential $ ({\rm e}^{-\alpha \phi^2}) $ couplings. These configurations form a discrete set of branches classified by the number of nodes in the scalar field. The branch with $ n=0 $ is the fundamental branch, whereas solutions with $ n\geq 1 $ are excited branches. By studying radial perturbations, we find that the fundamental branch is stable for both coupling choices, which makes it the most relevant branch for future phenomenological and observational studies. -
LHC shines on positivity
2026, 50(9): 091003. doi: 10.1088/1674-1137/ae74be
We show that hadron colliders have an excellent reach for positivity tests on a class of diphoton operators. Due to the helicity selection rules, the relevant dimension-6 operators either do not contribute or are highly constrained by other experimental observables. We demonstrate, for the first time, that the LHC can probe the positivity of the dimension-8 operators involving colored particles. The kinematic differential distributions of the diphoton final states are utilized to perform the $ \chi^2$ analysis. Through a global fit, the effective scale for these operators can be inclusively probed up to around 2 TeV at HL-LHC and over 5 TeV at future 100 TeV FCC-hh at 95% C.L., providing a powerful test of the positivity bounds up to the multi-TeV scale. -
Covariant canonical-spinor amplitudes for partial wave analysis
2026, 50(9): 093110. doi: 10.1088/1674-1137/ae6a86
We propose a covariant orbital-spin (LS) decomposed amplitude for the partial wave analysis using the massive spinor-helicity formalism. First, we review the traditional-LS method in the little group space and the Zemach tensor method in the double cover of the $ S O(3) $ space. To recover the $S O(3,1)$ Lorentz covariance, several Lorentz covariant $LS$ tensors have been constructed through different methods: covariant tensor, covariant projection tensor in pure-spin and general-spin schemes. However, performing an intrinsic separation between $LS$ coupling while maintaining covariance is not straightforward. We utilize the massive canonical-spinor variables to determine general three-point amplitudes, where the $LS$ decomposition is realized in a single little group space by projecting little group indices of each particle into one, while ensuring Lorentz covariance by the spinor form naturally. This covariant spinor method allows direct evaluation in any frame and offers a streamlined treatment of cascade decays within a single frame without additional alignment rotations needed in non-covariant approaches. As a benchmark, we implement the method in TF-PWA and analyze $\Lambda_c^+\to\Lambda\pi^+\pi^0$, finding consistent fit results across the helicity, traditional-$LS$, and canonical-spinor amplitudes. This validates the canonical-spinor amplitude as a practical tool for modern partial wave analyses of complex decay chains.
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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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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Lesser Green’s function and chirality-reduced entropy via the In-Medium NJL model
2026, 50(10): 103109-103109-9. doi: 10.1088/1674-1137/ae8825Show AbstractWe investigate chiral symmetry restoration in finite-temperature and finite-density quark matter using a correlator-based chirality-reduced entropy within the in-medium Nambu–Jona-Lasinio (NJL) model. Starting from the lesser Green's function $G^{<}(k)$ in the real-time formalism, we construct the equal-time correlation matrix $C({\boldsymbol{k}})$ and define the left-handed reduced correlator $C_L({\boldsymbol{k}}) = P_L C({\boldsymbol{k}}) P_L$. The corresponding von Neumann entropy, $S_\chi = -\mathrm{Tr}\left[C_L \ln C_L + (1-C_L)\ln(1-C_L)\right]$, characterizes the mixedness of the chirality-reduced subsystem. We show that the reduced correlator retains a nontrivial helicity structure and therefore must be described by its full eigenvalue spectrum rather than by a single scalar occupation probability. The self-consistent dynamical quark mass $M_q(T,\mu_q)$ reproduces the expected QCD-like phase structure, with a second-order transition in the chiral limit and a smooth crossover for finite current quark mass. The chirality-reduced entropy correlates with chiral restoration but is not an order parameter; instead, it provides complementary information through the full spectrum of the reduced correlator. Our numerical results show that $S_\chi$ exhibits characteristic nontrivial behavior across the chiral transition region and serves as an information-theoretic diagnostic of reduced chiral-sector mixedness.
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Nature of ${K^*(1680)}$ and ${q\bar{q}}$-hybrid mixing as the SU(3) partner of ${\eta_{1}(1855)}$ in the strange sector
2026, 50(10): 103105-103105-12. doi: 10.1088/1674-1137/ae71a8Show AbstractWe present an investigation of the $ K^*(1680) $ state in its strong decays into two-body final states within the flux-tube model and quark pair creation model. Since charge conjugation parity is not conserved in the strange sector, the conventional $ q\bar{q} $ states with $ J^{P(C)}=1^{-(-)} $ can mix with the lowest hybrid states with $ J^{P(C)}=1^{-(+)} $. Our analysis of the $ K^*(1680) $ two-body strong decays indicates that the decay pattern of $ K^*(1680) $ cannot be explained by the conventional $ q\bar{q} $ scenario. Moreover, there is strong evidence for the $ q\bar{q} $-hybrid mixing mechanism in the strange sector. The phenomenological consequences of such mixing are also discussed. Our study can provide guidance for future searches for hybrid multiplets in experiments at BESIII, LHCb, and Belle II.
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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.
Current Issued
2026 Vol. 50, No. 9
Published: 31 August 2026
Published: 31 August 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 9, 2026): Charge Separation Measurements in Au+Au collisions at \sqrt{S_{NN}} = 7.7-200 GeV in Search of the Chiral Magnetic Effect
- 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
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