The femtoscopic correlation function has been established in recent years as a high-precision tool for investigating hadrons hadron interactions and exotic states,providing stringent constraints on the dynamics of low...The femtoscopic correlation function has been established in recent years as a high-precision tool for investigating hadrons hadron interactions and exotic states,providing stringent constraints on the dynamics of low-energy strong interactions.However,current research has been predominantly focused on the s-wave interaction between hadrons,while studies of higher partial waves remain scarce.We present a general analytical expression for the femtoscopic correlation function in an arbitrary partial wave using the Lippmanns Schwinger equation.This formalism is applied to constrain the d-wave K-p scattering through a combined study of the K-p correlation function and the D03scattering amplitude of KN→KN and KN→π∑processes,from which the properties ofɅ(1520)are extracted and found to be in good agreement with the experimental results.These findings demonstrate the feasibility of determining dynamics between hadrons through femtoscopic correlation functions and scattering amplitudes with higher partial waves.展开更多
An efficient approximate scheme is presented for wave-propagation simulation in piecewise heterogeneous media by applying the Born-series approximation to volume-scattering waves.The numerical scheme is tested for dim...An efficient approximate scheme is presented for wave-propagation simulation in piecewise heterogeneous media by applying the Born-series approximation to volume-scattering waves.The numerical scheme is tested for dimensionless frequency responses to a heterogeneous alluvial valley where the velocity is perturbed randomly in the range of 5%–25%,compared with the full-waveform numerical solution.Then,the scheme is extended to a heterogeneous multilayered model by calculating synthetic seismograms to evaluate approximation accuracies Numerical experiments indicate that the convergence rate of this method decreases gradually with increasing velocity perturbations.The method has a fast convergence for velocity perturbations less than 15%.However,the convergence becomes slow drastically when the velocity perturbation increases to 20%.The method can hardly converge for the velocity perturbation up to 25%.展开更多
基金supported by the National Key R&D Program of China(Grant No.2023YFA1606703)the National Natural Science Foundation of China(Grant Nos.12575094,12435007,and 12361141819)。
摘要The femtoscopic correlation function has been established in recent years as a high-precision tool for investigating hadrons hadron interactions and exotic states,providing stringent constraints on the dynamics of low-energy strong interactions.However,current research has been predominantly focused on the s-wave interaction between hadrons,while studies of higher partial waves remain scarce.We present a general analytical expression for the femtoscopic correlation function in an arbitrary partial wave using the Lippmanns Schwinger equation.This formalism is applied to constrain the d-wave K-p scattering through a combined study of the K-p correlation function and the D03scattering amplitude of KN→KN and KN→π∑processes,from which the properties ofɅ(1520)are extracted and found to be in good agreement with the experimental results.These findings demonstrate the feasibility of determining dynamics between hadrons through femtoscopic correlation functions and scattering amplitudes with higher partial waves.
基金supported by the National Natural Science Foundation of China(Grant Nos.41204097 and 41130418)the China National Major Science and Technology Project(2011ZX05023-005-004)
摘要An efficient approximate scheme is presented for wave-propagation simulation in piecewise heterogeneous media by applying the Born-series approximation to volume-scattering waves.The numerical scheme is tested for dimensionless frequency responses to a heterogeneous alluvial valley where the velocity is perturbed randomly in the range of 5%–25%,compared with the full-waveform numerical solution.Then,the scheme is extended to a heterogeneous multilayered model by calculating synthetic seismograms to evaluate approximation accuracies Numerical experiments indicate that the convergence rate of this method decreases gradually with increasing velocity perturbations.The method has a fast convergence for velocity perturbations less than 15%.However,the convergence becomes slow drastically when the velocity perturbation increases to 20%.The method can hardly converge for the velocity perturbation up to 25%.