Highlights
  • New evaluation and validation toward neutron reaction data on chromium isotopes at incident energies below 200 MeV
    Chromium (Cr) serves as an indispensable structural material in accelerator-driven systems (ADSs) and Generation IV reactors, where the precision of its neutron reaction data is important for ensuring reactor safety and operational reliability. However, significant discrepancies persist in both experimental data and evaluations for key reaction channels, such as $(n, p)$ and $(n, 2n)$, across the chromium isotopes ${}^{50,52,53,54}{\rm{Cr}}$. This paper presents a novel evaluation and validation of neutron reaction data for these isotopes at incident energies below 200 MeV, incorporating 571 experimental datasets from EXFOR covering cross sections, angular distributions, energy spectra, and double - differential cross sections. The newly evaluated data provide more reliable key cross sections: the ${}^{52}{\rm{Cr}}(n,2n)$ cross section resolves discrepancies and supports the data of Liskien et al.; the ${}^{52}{\rm{Cr}}(n, p)$ cross-section aligns well with natural chromium data across all energies and is validated by competition analysis. The results accurately replicate double differential cross sections and energy spectra, with neutron emission spectra matching experimental peaks and charged - particle spectra agreeing with measurements for ${}^{50,52}{\rm{Cr}}$. Moreover, the abundance - weighted sum of $(n, p)$ and $(n, 2n)$ cross sections for chromium isotopes agrees well with natural chromium data, confirming systematic consistency. All evaluations are validated using 62 ICSBEP 2014 benchmark facilities with $ k_{{\rm{eff}}}$ sensitivity to chromium neutron data > 1%. For the PMI002_01 experiment, the calculated $ k_{{\rm{eff}}}$ value decreased by $\sim 1000$ pcm relative to the CENDL - 3.2 results, improving agreement with the benchmark; in the OKTAVIAN shielding benchmark, the neutron leakage spectrum also reproduced experiments well.
  • Effective field theory description of light dilaton
    Dilatons, the CP-even pseudo-Nambu-Goldstone bosons arising from spontaneous scale symmetry breaking, offer a compelling alternative to axion-like particles (ALPs) yet lack a comprehensive low-energy framework. We address this by constructing a systematic effective field theory (EFT) for the dilaton based on a manifestly scale-invariant regularization scheme. This approach derives universal linear couplings to the trace anomaly while preserving consistent renormalization group evolution. We establish a hierarchical EFT tower connecting the ultraviolet conformal sector to the infrared, encompassing the dilaton-extended SMEFT, low-energy EFT up to dimension-7, and a chiral Lagrangian describing meson and baryon interactions. We perform a comprehensive phenomenological analysis across two distinct mass regimes, where the dilaton manifests as either a conventional particle or a wave-like particle. For MeV-scale dilatons behaving as conventional particles, we obtain constraints from LHC production, semi-invisible B- and K-meson decays, and supernova cooling. For ultralight dilatons acting as dark matter, we project sensitivities for atomic clocks and atom interferometers. This unified EFT framework would pave the way for extended phenomenological studies across the full mass spectrum of the light dilaton.
  • Analysis of molecular state ηcD* and J/ψD* in the effective Lagrangian approach
    In this work, we investigate the production and decay of molecular states with quark content $cc\bar c\bar q$ and $J^P=1^+$ using a phenomenological analysis and an effective Lagrangian approach. Based on an SU(3) flavor-symmetry analysis to identify golden channels, we further explore the dynamics of these processes under the molecular assumptions of ${\eta_c D^*}$ and ${J/\psi D^*}$. Our results indicate that the production branching ratio in $B_c$ decays is sizable: it can be of order $10^{-4}$ for the molecular configuration ${{\eta}_cD^*}$ and $10^{-5}$ for the molecule ${J/\psi D^*}$. In addition, we find that the decay widths of the two molecular configurations ${{\eta}_cD^*}$ and ${J/\psi D^*}$ are not significant, at the level of ${\cal{O}}$($\text{MeV}$).
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  • Relativistic effects in the anomalous enhancement of charge radii of new magic isotopes 52,54Ca
    2026, 50(9): 091002-091002-7. doi: 10.1088/1674-1137/ae7dbf
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    The remarkable isotope shift of the charge radius of 52Ca relative to 48Ca presents a significant challenge to the magic nature of $ N=32 $. In this work, we aim to clarify this apparent inconsistency by employing the relativistic Hartree-Fock (RHF) theory and the extended configuration interaction RHF (CI-RHF) model. It is shown that calculations with the RHF Lagrangian PKA1 successfully reproduce the energy observables related to nuclear magicity at $ N=32 $ and 34, as well as the neutron (ν) orbital radii of $ \nu2p_{3/2} $ and $ \nu1f_{7/2} $ in 52Ca, accounting for approximately 70% of the measured isotope shift of 52Ca. Moreover, it is demonstrated that the isotope shift of the charge radius is mainly driven by the relativistic corrections of nuclear interaction, whereas the spatial extension of the low-l orbit $ \nu2p_{3/2} $ is sensitive to the binding depth. In particular, the relativistic corrections of the interactions between the $ \nu2p $ and s orbits are significant for the opening of the sub-shells $ N=32 $ and 34, yet contribute only weakly to enhancing the isotope shift of the charge radius. These results reveal that the anomalous isotope shift and the emergence of the new magicity do not share exactly the same microscopic mechanism, at least within the RHF framework, thereby largely resolving the apparent inconsistency. Our findings highlight the importance of relativistic effects in understanding the novel properties of unstable nuclei.
  • Probing the nuclear interaction radius with single-proton transfer reactions
    2026, 50(9): 094004-094004-6. doi: 10.1088/1674-1137/ae7ff6
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    In this work, the $^{56,58}\mathrm{Fe}(^{18}\mathrm{O},^{17}\mathrm{N})^{57,59}\mathrm{Co}$ transfer reactions were measured, and Distorted Wave Born Approximation calculations using the systematic heavy-ion optical potential were employed to reproduce the experimental data and investigate the interaction radius. The Coulomb barrier radii $r_\text{B}$ were determined to be $9.58 \pm 0.35\text{ fm}$ and $9.83 \pm 0.37\text{ fm}$ for $^{18}\text{O}+^{56}\text{Fe}$ and $^{18}\text{O}+^{58}\text{Fe}$, respectively. The maximum distances between the surfaces of the two nuclei were calculated to be $0.68 \pm 0.35\text{ fm}$ for $^{18}\text{O}$ + $^{56}\text{Fe}$ and $0.85 \pm 0.37\text{ fm}$ for $^{18}\text{O}$ + $^{58}\text{Fe}$. These results provide a clear physical picture of the distance between the surfaces of the two nuclei in single-nucleon transfer reactions.
  • Proton-to-alpha branching ratio in the 12C+12C fusion reaction at astrophysical energies
    2026, 50(9): 094003-094003-10. doi: 10.1088/1674-1137/ae823a
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    The unique resonance features in the $ ^{12}{\rm C} $+$ ^{12}{\rm C} $ fusion reaction lead to significant fluctuations in the branching ratio $ R_{p/\alpha}=\sigma_p/\sigma_\alpha $, making it difficult to determine $ R_{p/\alpha} $ at astrophysical energies. By combining Hauser–Feshbach statistical-model calculations with constraints from direct charged-particle and gamma-ray measurements, we investigate the energy dependence of the averaged $ R_{p/\alpha} $ and predict its behavior within the Gamow window. Owing to the strong energy dependence of $ R_{p/\alpha} $, the corresponding reaction-rate ratios, $ \langle \sigma v \rangle_p / \langle \sigma v \rangle_\alpha $, during core and shell carbon burning are determined to be 0.29, 0.45, and 0.52 at $ T_9 = 0.5 $, 1.0, and 1.2, respectively, which are significantly lower than the widely adopted CF88 constant value of 0.79. The implications of the revised $ \langle \sigma v \rangle_p / \langle \sigma v \rangle_\alpha $ ratio for stellar nucleosynthesis and white-dwarf evolution are also discussed.
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