Highlights
  • The forward-backward asymmetry induced CP asymmetry in ${{\overline{B}}^{0}\rightarrow K^{-}\pi^{+}\pi^{0}}$ in phase space around the resonances ${{\overline{K}}^{*}(892)^{0}}$ and ${{\overline{K}}^{*}_{0}(700)}$
    The interference between amplitudes corresponding to different intermediate resonances plays an important role in generating large CP asymmetries in the phase space in multi-body decays of bottom and charmed mesons. In this study, we examine the CP violation in the decay channel $ {\overline{B}}^{0}\rightarrow K^{-}\pi^{+}\pi^{0} $ in the phase-space region where the intermediate resonances $ \overline{K}^{*}(892)^{0} $ and $ {\overline{K}^{*}_{0}(700)} $ dominate. In particular, the forward-backward asymmetry (FBA) and the CP asymmetry induced by FBA (FB-CPA), which are closely related to the interference effects between the two aforementioned resonances, are investigated. The nontrivial correlation between FBA and FB-CPA is analyzed. The analysis indicates that FB-CPAs around the resonance $ \overline{K}^{*}(892)^{0} $ can be as large as approximately 35%, which can be potentially accessible by Belle and Belle-II collaborations in the near future.
  • Systematic study of microscopic nuclear level densities of Sn isotopes within a relativistic framework
    Nuclear level density (NLD) plays a crucial role in describing the statistical properties of excited nuclei and is a key input for models of compound nuclear reactions, such as those used in nuclear astrophysics and reactor physics. In this study, we construct microscopic nuclear level densities for Sn isotopes by combining single-particle spectra, pairing correlations, and deformation parameters derived from relativistic Hartree–Bogoliubov (RHB) calculations with the combinatorial method. We examine the energy dependence and isotopic systematics of the calculated level densities. In particular, we analyze their variation with excitation energy and neutron number, and compare them to available experimental data, including cumulative low-lying levels and s-wave neutron resonance spacings ($ D_0 $). The resulting level densities are further employed as input to Hauser–Feshbach calculations of radiative neutron capture $ (n,\gamma) $ cross-sections [Nuclear Data Sheets 120, 272 (2014)]. Our results demonstrate that RHB-based nuclear level densities provide a reliable microscopic framework for describing Sn isotopic level densities and accurately predicting $ (n,\gamma) $ cross-sections.
  • Investigation of the level structure of 91−94Zr nuclei using large-scale shell-model calculations
    A suitable Hamiltonian was designed for the Zr isotopes over the N = 50 shell by including shell model space between 78Ni and 132Sn. The Hamiltonian is composed by the pairing-plus-multipole force and monopole correction terms. The single-particle energies (SPEs) were initially taken from the low-lying states of hole nuclei 131In and 131Sn (near the N = 82 shell closure). These SPEs were then modified by three monopole correction terms to better describe the low-lying states of 91Zr (near the N = 50 shell closure). To test this Hamiltonian, the level spectra of 91−94Zr were investigated in both low-lying and high-spin excitations by large-scale shell-model calculations. Their wave functions were further tested by comparing the electromagnetic transition probabilities with given $ B(E2)$ data. The good performance in both spectra and transitions probabilities makes the predicting calculations of the present interaction more dependable to be referred in further experimental researches of Zr isotopes.
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  • Predictions of neutron-capture reaction cross sections using a Bayesian neural network approach combined with a physically motivated empirical formula
    2026, 50(6): 064102-064102-7. doi: 10.1088/1674-1137/ae50e6
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    Neutron-capture reaction cross sections are studied using the Bayesian neural network (BNN) approach in combination with a recently proposed empirical formula for the cross sections. In addition to the proton and neutron numbers, four physical quantities are found to be important for improving the predictive performance of the BNN approach: the pairing effect-related variable δ, shell effect-related variables $ \nu_{n} $ and $ \nu_{p} $, and theoretical neutron-capture reaction cross sections. The BNN approach more effectively describes the Maxwellian-averaged ($ n,\gamma $) cross sections (MACS) at $ kT $ = 30 keV than the TENDL-astro 2023 theoretical library calculated using TALYS code based on the Hauser–Feshbach statistical model. The root-mean-square deviation of the BNN approach with respect to the natural logarithm of the experimental MACS data from the Karlsruhe Astrophysical Database of Nucleosynthesis in Stars is reduced to 0.1373, compared with the value of 0.2545 for TENDL-astro 2023. The BNN predictions align well with MACS trends predicted by TENDL-astro 2023 when extrapolated to the unknown region, though there are quantitative deviations between them.
  • Discovery prospects for photophobic axion-like particles in the WWjj final state at the High-Luminosity LHC
    2026, 50(6): 063107-063107-16. doi: 10.1088/1674-1137/ae5048
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    We evaluate discovery prospects for photophobic axion-like particles (ALPs) in the WWjj final state at the High-Luminosity LHC (HL-LHC; $\sqrt{s}=14\ {\rm{TeV}}$, ${\cal{L}}=3\ {\rm{ab}}^{-1}$). In the photophobic limit ($g_{a\gamma\gamma}=0$), ALPs couple to electroweak gauge bosons and are produced in association with two jets ($ pp\to jj\ a $) via both s-channel electroweak exchange and vector boson fusion (VBF)–like topologies, followed by $a\to W^+W^-$ decay. We target the different-flavour dilepton mode $W^+W^- \to e^\pm\mu^\mp\nu \bar{\nu}$ with two jets and moderate missing transverse momentum. The analysis employs a two-step strategy: initial preselection that defines the signal-like final state, followed by a multivariate analysis (MVA) trained on dijet and dileptonic-WW kinematics from both the s-channel and VBF-like production mechanisms to separate signal from background; the MVA threshold is optimized independently at each $m_a$. We present 2σ and 5σ discovery sensitivities for the ALP–W coupling $g_{aWW}$ across the 170–4000 GeV mass range. For $260\ {\rm{GeV}}\le m_a\le1500\ {\rm{GeV}}$, the 2σ (5σ) sensitivity is approximately flat around $ 0.61(0.76)\ {\rm{TeV}}^{-1}$. At large masses/couplings, the mapping between an experimental rate and a single EFT parameter $g_{aWW}$ can become UV sensitive, and we treat the extreme high-mass/high-coupling corner as an extrapolation; therefore, we also report model-independent discovery thresholds for the fiducial quantity $ \sigma(pp\to jj\ a)\times\rm{Br}(a\to W^+W^-) $ over the same mass range to enable reinterpretation for other models. These results indicate that the $WWjj$ topology offers competitive and complementary sensitivity to heavy photophobic ALPs at the HL-LHC.
  • Role of Σ(1660) in the K pπ0π0Σ0 reaction
    2026, 50(6): 063104-063104-8. doi: 10.1088/1674-1137/ae551e
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    The processes of $ K^-p \to \pi^0 \pi^0 \Sigma^0 $ and $ K^- p \to \pi^0 \Lambda(1405) $ are studied within the effective Lagrangian approach. In addition to the “background” contribution from the u-channel nucleon pole term, the contribution from the $ \Sigma(1660) $ resonance with spin-parity $ J^P=1/2^+ $ is also considered. For the $ K^-p \to \pi^0 \pi^0 \Sigma^0 $ reaction, we perform a calculation for the total and differential cross sections by considering the contribution from the $ \Sigma(1660) $ intermediate resonance decaying into $ \pi^0 \Lambda(1405) $ with $ \Lambda(1405) $ decaying into $ \pi^0 \Sigma^0 $. With our model parameters, the available experimental data on both the $ K^-p \to \pi^0 \pi^0 \Sigma^0 $ and $ K^- p \to \pi^0 \Lambda(1405) $ reactions can be fairly well reproduced. It is shown that the contribution from the $ \Sigma(1660) $ resonance is necessary, and that these experimental measurements could be used to determine some properties of the $ \Sigma(1660) $ resonance.
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