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Davier, M., Diaz-Calderon, D., Malaescu, B., Pich, A., Rodriguez-Sanchez, A., & Zhang, Z. (2023). The Euclidean Adler function and its interplay with Delta alpha(had)(QED) and alpha(s). J. High Energy Phys., 04(4), 067–57pp.
Abstract: Three different approaches to precisely describe the Adler function in the Euclidean regime at around 2 GeVs are available: dispersion relations based on the hadronic production data in e(+)e(-) annihilation, lattice simulations and perturbative QCD (pQCD). We make a comprehensive study of the perturbative approach, supplemented with the leading power corrections in the operator product expansion. All known contributions are included, with a careful assessment of uncertainties. The pQCD predictions are compared with the Adler functions extracted from ?a( QED)(had)(Q(2)), using both the DHMZ compilation of e(+)e(-) data and published lattice results. Taking as input the FLAG value of a(s), the pQCD Adler function turns out to be in good agreement with the lattice data, while the dispersive results lie systematically below them. Finally, we explore the sensitivity to a(s) of the direct comparison between the data-driven, lattice and QCD Euclidean Adler functions. The precision with which the renormalisation group equation can be tested is also evaluated.
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Encarnación, P., García-Lorenzo, A., Albaladejo, M., Feijoo, A., Nieves, J., & Vidaña, I. (2026). Coulomb effects in momentum-space femtoscopy: A case study of the K-Ω system. Phys. Lett. B, 882, 141041–11pp.
Abstract: We present a momentum-space framework for the consistent treatment of Coulomb interactions in femtoscopic correlation functions based on a modified Vincent-Phatak method that is more amenable to numerical implementation. The formalism provides a practical approach to incorporating Coulomb effects at the short distances relevant for femtoscopy within the Lippmann-Schwinger equation, while preserving a unified treatment of the strong interaction. As an application, we study the S = -4 pseudoscalar-baryon decuplet interaction in the K52 system and present predictions for the singly and doubly negatively charged channels, K052-and K-52-. As an additional validation of the formalism, we have also applied it to the well-studied pp system. We further assess the limitations of the asymptotic wave-function approximation and quantify corrections accounting for the short-distance structure of the interaction potential. We introduce a phenomenological parameter that effectively absorbs contributions from both the finite source size and the off-shell structure of the interaction, the latter being one of the main obstacles to extracting detailed information on hadron-hadron interactions from femtoscopic measurements in a model-independent way.
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Li, H. P., Yi, J. Y., Xiao, C. W., Yao, D. L., Liang, W. H., & Oset, E. (2024). Correlation function and the inverse problem in the BD interaction. Chin. Phys. C, 48(5), 053107–7pp.
Abstract: We study the correlation functions of the (BD+)-D-0, (B+D0) system, which develops a bound state of approximately 40MeV, using inputs consistent with the T-cc(3875) state. Then, we address the inverse problem starting from these correlation functions to determine the scattering observables related to the system, including the existence of the bound state and its molecular nature. The important output of the approach is the uncertainty with which these observables can be obtained, considering errors in the (BD+)-D-0, (B+D0) correlation functions typical of current values in correlation functions. We find that it is possible to obtain scattering lengths and effective ranges with relatively high precision and the existence of a bound state. Although the pole position is obtained with errors of the order of 50% of the binding energy, the molecular probability of the state is obtained with a very small error of the order of 6%. All these findings serve as motivation to perform such measurements in future runs of high energy hadron collisions.
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Lin, J. X., Encarnacion, P., Albaladejo, M., & Feijoo, A. (2026). Signatures of odd-parity s-wave Ξ∗ states in femtoscopic correlation functions. Phys. Lett. B, 875, 140305–12pp.
Abstract: We investigate the Xi & lowast;resonances within the molecular picture, where these states are dynamically generated as poles in the unitarized scattering amplitudes arising from the coupled-channel interactions of K & lowast;-Lambda, K & lowast;-Sigma 0, rho-Xi 0, K & lowast;0 Sigma-, rho 0 Xi-, omega Xi-,and phi Xi-. The interaction kernel is derived from the local hidden gauge formalism, while the unitarization procedure employs a hybrid method that combines cutoff and dimensional regularizations in the evaluation of the loop function. From a detailed spectroscopic analysis, we identify two S = -2 baryon states whose properties are compatible with some of the Xi & lowast;resonances listed in the Review of Particle Physics. To explore their possible experimental signatures, we compute the femtoscopic correlation functions for all the vector-baryon pairs considered in the present study, using realistic estimates of production weights and varying source sizes R = 1, 1.1, 1.2, 1.3, 1.5 fm .
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Lin, J. X., Encarnacion, P., Feijoo, A., & Albaladejo, M. (2026). Signatures of the Ω(2012)- state in Ξ*(K)over-bar correlation functions. Phys. Lett. B, 880, 140789–9pp.
Abstract: We investigate the Omega(2012) resonance in the strangeness S = -3 sector within a coupled-channel chiral unitary approach and present the first quantitative predictions for femtoscopic correlation functions directly sensitive to its dynamics. The Omega(2012) is dynamically generated as a quasi-bound Xi*(K) over bar-Omega eta 2 molecular state, with its coupling to the Xi(K) over bar channel driven by d-wave transitions. Model parameters are constrained by the measured mass, width, and the Belle determination of the branching fraction R-Xi K(Xi(K) over bar pi), yielding M (Omega(2012)) = (2012.53 +/- 0.73) MeV and Gamma(Omega(2012)) = (4.05 +/- 0.13) MeV.Within this framework, we compute the femtoscopic correlation functions of the Xi K-*0(-), Xi*(-)(K) over bar (0) and Omega(-) eta systems. The Xi*(K) over bar correlation functions exhibit pronounced near-threshold structures that arise from the proximity of the Omega(2012) pole, demonstrating an exceptional sensitivity to its position and coupled-channel composition. In particular, the Xi*K-0(-) correlation function is identified as a clean and highly selective probe of the Omega(2012) resonance. These results establish femtoscopic correlation measurements as powerful tools for extracting resonance properties beyond conventional invariant-mass analyses and provide concrete theoretical benchmarks for upcoming experimental studies aimed at elucidating the molecular nature of the Omega(2012).
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Liu, S. W., Lyu, W. T., & Xie, J. J. (2026). Probing the hadronic molecular nature of the Ω(2012), Ω(2380), and Ωc(3120) via femtoscopy correlation functions. Phys. Lett. B, 882, 140979–9pp.
Abstract: We investigate the femtoscopic correlation functions of systems associated with the Omega(2012), Omega(2380), and Omega(c)(3120) resonances, with the aim of elucidating their internal structures. By employing effective potential models that incorporate both s-wave and d-wave interactions, we calculate the correlation functions for the relevant coupled channels. Our numerical results reveal pronounced enhancement structures in the Xi(0) K- and Xi(+)(c) K- correlation functions, which provide direct evidences for the dynamically generated Omega(2012) and Omega(c)(3120) states. Furthermore, significant low-momentum enhancements are observed in the Xi*0K(-) and Xi*K-0*(-) channel, which are attributed to the Omega(2012) and Omega(2380) resonances. These theoretical calculations provide crucial insights for future high-precision measurements at the LHC and RHIC, offering a novel and independent approach to determine the dynamically generated hadronic molecular nature of these Omega excited states.
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