Chinese Physics C

Highlights

Statistical uncertainty quantification for multireference covariant density functional theory
X. Zhang, C. C. Wang, C. R. Ding, J. M. Yao

2026, 50(10): 104107. doi: 10.1088/1674-1137/ae8e63

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We present a theoretical framework for quantifying statistical uncertainties in covariant density functional theory (CDFT) for both nuclear matter and finite nuclei, based on a relativistic point-coupling energy density functional (EDF). By sampling approximately one million parameter sets, with nine parameters varied around their values in the PC-PK1 functional, we construct a probability density function for nuclear matter properties. Incorporating empirical values of nuclear matter at saturation density, predictions from chiral nuclear forces, and measured $ B(E2) $ values of finite nuclei, we infer posterior distributions for the model parameters within a Bayesian framework. These posterior distributions are then propagated to the low-lying states of finite nuclei using the newly developed subspace-projected (SP)-CDFT approach, in which the wave functions of target EDF parameter sets are expanded in a subspace spanned by low-lying states obtained from a set of training parameterizations. We find that the observables of low-lying states in deformed nuclei ¹⁵⁰Nd and ¹⁵⁰Sm are well reproduced once statistical uncertainties are taken into account. In contrast, those of near-spherical nuclei ¹³⁶Xe and ¹³⁶Ba remain difficult to describe within the present framework, a limitation expected to be alleviated by extending the model space to include quasiparticle excitations.
Cluster radioactivity in extreme laser fields: A study for nuclear structure properties
Leng-Jun Liao, Xiao-Hua Li

2026, 50(10): 104103. doi: 10.1088/1674-1137/ae84aa

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In the present work, we investigate the effect of ultra-intense laser fields on cluster radioactivity from a nuclear-structure perspective. Specifically, we examine the relationship between the maximum instantaneous rate of change of the penetration probability and the proton number of the emitted cluster. Subsequently, based on the characteristics of cluster-radioactive nuclei, we investigate the correlation between the rate of change of the penetration probability and the neutron number of the daughter nuclei for the emission of $ ^{14} {\rm{C}}$ from Ra, $ ^{20} {\rm{O}}$ from Th, $ ^{23} {\rm{F}}$ from Pa, $ ^{24} {\rm{Ne}}$ from U, $ ^{28} {\rm{Mg}}$ from Pu, and $ ^{34} {\rm{Si}}$ from Cm isotopes. The results demonstrate that shell effects contribute to the rate of change of the penetration probability. Notably, the influence of the neutron shell effect on this rate diminishes as the number of valence protons increases. In addition, the rate of change exhibits an overall linear increase with the quadrupole deformation parameter of the parent nucleus. Finally, the effect of odd-even staggering on laser-assisted cluster radioactivity is revealed. This research provides valuable insights for future laser-nuclear physics experiments.
Analysis of H → J/ψ + γ up to Next-to-Next-to-Leading order QCD corrections
Wen-Yuan Li, Ting Sun, Sheng-Quan Wang, Jian-Ming Shen, Hua Zhou, Xing-Gang Wu, Leonardo Di Giustino

2026, 50(10): 103108. doi: 10.1088/1674-1137/ae823e

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The rare exclusive decay of the Higgs boson, $ H \to J/\psi + \gamma $, is a crucial channel for assessing the Yukawa coupling of the charm quark. In this article, we examine this process up to the next-to-next-to-leading order (NNLO) in QCD utilizing the Principle of Maximum Conformality (PMC). The PMC offers a systematic approach to eliminate renormalization scale uncertainties by resumming non-conformal β contributions into the QCD running coupling through the renormalization group equation (RGE). A PMC scale of $ Q_\star = 3.29\ {\rm{GeV}} $ is obtained, which reflects the low virtuality of the underlying QCD dynamics in the $ H \to J/\psi + \gamma $ process. Notably, this is an order of magnitude smaller than the scale estimated using the conventional method, i.e., $ \mu_r = m_H/2 $. By removing the non-conformal $ \{\beta_i\} $-terms from the perturbative QCD (pQCD) series, we observe that the PMC NLO QCD correction term is significantly enhanced, while the PMC NNLO QCD correction is suppressed. This indicates improved convergence of the pQCD series up to NNLO. Finally, we calculate the decay width $ \Gamma(H \to J/\psi + \gamma) = $$ 14.183^{+0.249}_{-0.347} \pm 0.022 $ eV, where the first uncertainty arises from the factorization scale $ \mu_\Lambda \in [1, 2]\ {\rm{GeV}} $, and the second is due to the estimation of unknown higher-order terms using the Pad$ \acute{e} $ approximant approach. The corresponding branching fraction is $ {\cal{B}}(H \to J/\psi + \gamma) = 3.485_{-0.161}^{+0.152} \times 10^{-6} $.

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Constraints on the canonical single-field slow-roll inflation model from observations
Jun Li, Guanghai Guo, Pengfei Yan, Xiong Yang

Published: 2026-08-19, doi: 10.1088/1674-1137/ae8cf2

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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 ${\boldsymbol\omega{\bf\to}{\boldsymbol\pi}^+{\boldsymbol\pi}^-{\boldsymbol\pi}^{\bf 0} }$
Xi-Liang Yuan, Gang Lü, Na Wang, Chao Wang

Published: 2025-05-26, doi: 10.1088/1674-1137/ad8ec2

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Published: 2025-05-26, doi: 10.1088/1674-1137/ad8ec2

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Study of radiative proton capture by the ⁷Be nucleus with the use of ab initio approaches
D. M. Rodkin, Yu. M. Tchuvil'sky

2026, 50(11): 114102-114102-11. doi: 10.1088/1674-1137/ae836e

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A theoretical study of the ⁷Be(p, γ)⁸B reaction in the "astrophysical" energy range with the use of ab initio methods is presented. The used approaches are No-Core Shell Model and Cluster Channels Orthogonal Functions Method. The scheme also contains elements of R-matrix theory and procedures for extrapolating various data obtained in ab initio computations. The developed approach as a whole allows one not only to calculate the astrophysical S-factor and all nuclear characteristics that determine its value, but also to evaluate the reliability of the obtained results and to identify the dominant reaction mechanisms against a background of insignificant ones. The high accuracy of the obtained results and has been demonstrated.

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Observational constraints on fractional holographic dark energy in the light of DESI DR2
Qihong Huang, Yuchen Zhang, Bing Xu, Kaituo Zhang

2026, 50(11): 115104-115104-12. doi: 10.1088/1674-1137/ae9926

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Based on the fractional entropy from fractional quantum mechanics, fractional holographic dark energy (FHDE) has been proposed with the Hubble horizon as the IR cutoff (FHDEH). We extend this framework by adopting the future event horizon and the particle horizon as the IR cutoff and proposing the FHDEF and FHDEP models. Using the SN+OHD+DESI DR2 dataset to constrain these models, we find that all three models provide a marginally lower $\chi^{2}_{\min}$ compared to ΛCDM but without significant preference according to AIC and BIC. When CMB distance priors are included, the FHDEH and FHDEP models are strongly ruled out. We further analyze the cosmological evolution for these models, and find that only the FHDEF model predicts nearly identical evolutions of $ \Omega_{m} $ and $ \Omega_{\rm de} $ to those of the ΛCDM model across cosmic history, but its deceleration parameter q deviates from the ΛCDM model in the future, indicating richer late time dynamics beyond the standard ΛCDM cosmology.

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Charge-exchange reactions accompanied by a single π⁺ production in medium-energy heavy-ion collisions
Xiaolei Chen, Jinyu Yang, Shikang Dong, Baowei Ding, Bitao Hu, Xiyu Qiu

2026, 50(11): 114101-114101-12. doi: 10.1088/1674-1137/ae9050

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Heavy-ion charge-exchange (CE) reactions provide a sensitive probe of isospin dynamics in nuclear collisions. We investigate the reaction $^{12}\mathrm{C}(^{12}\mathrm{C},\,^{12}{\rm N}\,{\pi}^{+})\,^{12}\mathrm{Be}$ at 400−600 A MeV using the ultra-relativistic quantum molecular dynamics model coupled with a phase-space coalescence approach. This reaction constitutes a nontrivial CE channel accompanied by single ${\pi}^+$ production in heavy-ion collisions, thereby extending previous studies from lepton-induced to hadronic systems. The $^{12}{\rm N}$ fragment is formed via nucleon and meson exchange, while ${\pi}^+$ production is primarily governed by ∆ resonance excitation and decay; this dual mechanism enables the simultaneous investigation of CE processes and ∆-induced pion production within the same reaction system. We calculate the reaction cross section and analyze the four-momentum distributions of $^{12}{\rm N}$ and ${\pi}^+$. Characteristic phase-space features reflect these distinct production mechanisms and offer guidance for future experimental design. Furthermore, this reaction could serve as a pathway for rare-isotope production.

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Current Issued

2026 Vol. 50, No. 9
Published: 31 August 2026

Particles And Fields
Nuclear Physics
Particle And Nuclear Astrophysics And Cosmology