The Λ(1405) has been one of the most controversial exotic baryons.If the Λ(1405)possesses a two-pole molecular structure,these poles are expected to evolve differently towards the SU(3)limit.From an analysis of a re...The Λ(1405) has been one of the most controversial exotic baryons.If the Λ(1405)possesses a two-pole molecular structure,these poles are expected to evolve differently towards the SU(3)limit.From an analysis of a recent LQCD simulation on theπΣ-KN scattering for I=0 and the study of the quark mass dependence of the octet baryon masses,we determine for the first time the trajectories of these poles towards the symmetric point over the Tr[M]=C trajectory accurately.At m_(π)■200 MeV,our results are consistent with the lattice simulations,and the extrapolations to the physical point,based on the NLO chiral Lagrangians,agree well with existing experimental analyses.We predict qualitatively similar trajectories at LO and up to NLO,consistent with the LO interaction’s dominance.At the SU(3)symmetric point of this trajectory,both poles are on the physical sheet,and the lower pole is located at E^((1))=1573(6)(6)MeV,becoming a SU(3)singlet,while the higher pole at E^((8a))=1589(7)(5)MeV couples to the octet representation.Moreover,we make predictions in I=1 for theΣ^(*)resonance.We find a resonance pole that evolves into a bound state around m_(π)=415 MeV in this sector.The results presented here are crucial to shed light on the molecular nature of exotic strange baryon resonances and can be tested in future LQCD simulations.展开更多
We present that by predicting the spectrum in discrete space from the phase shift in continuous space,the neural network can remarkably reproduce the numerical Lüscher's formula to a high precision.The model-...We present that by predicting the spectrum in discrete space from the phase shift in continuous space,the neural network can remarkably reproduce the numerical Lüscher's formula to a high precision.The model-independent property of the Lüscher's formula is naturally realized by the generalizability of the neural network.This exhibits the great potential of the neural network to extract model-independent relation between model-dependent quantities,and this data-driven approach could greatly facilitate the discovery of the physical principles underneath the intricate data.展开更多
基金supported by the Spanish Ministerio de Economia y Competitividad(MINECO),European FEDER funds(FIS2017-84038-C2-1-P B,PID2020-112777 GB-I00),Generalitat Valenciana(PROMETEO/2020/023)the European Union Horizon 2020 research and innovation program(H2020-INFRAIA-20181)+4 种基金grant agreement(824093)of the STRONG-2020 projectsupport from the ESGENT program(ESGENT/018/2024)the PROMETEU program(CIPROM/2023/59),of the Generalitat Valenciana,and also from the Spanish Ministerio de Economia y Competitividad and the European Union(NextGenerationEU/PRTR)by the grant(CNS2022-13614)support from the National Key R&D Program of China(2023YFA1606703)the National Natural Science Foundation of China(12435007)。
文摘The Λ(1405) has been one of the most controversial exotic baryons.If the Λ(1405)possesses a two-pole molecular structure,these poles are expected to evolve differently towards the SU(3)limit.From an analysis of a recent LQCD simulation on theπΣ-KN scattering for I=0 and the study of the quark mass dependence of the octet baryon masses,we determine for the first time the trajectories of these poles towards the symmetric point over the Tr[M]=C trajectory accurately.At m_(π)■200 MeV,our results are consistent with the lattice simulations,and the extrapolations to the physical point,based on the NLO chiral Lagrangians,agree well with existing experimental analyses.We predict qualitatively similar trajectories at LO and up to NLO,consistent with the LO interaction’s dominance.At the SU(3)symmetric point of this trajectory,both poles are on the physical sheet,and the lower pole is located at E^((1))=1573(6)(6)MeV,becoming a SU(3)singlet,while the higher pole at E^((8a))=1589(7)(5)MeV couples to the octet representation.Moreover,we make predictions in I=1 for theΣ^(*)resonance.We find a resonance pole that evolves into a bound state around m_(π)=415 MeV in this sector.The results presented here are crucial to shed light on the molecular nature of exotic strange baryon resonances and can be tested in future LQCD simulations.
基金Partly supported by the National Natural Science Foundation of China(12221005,11935017,12070131001,12175239),(CRC 110 by DFG and NNSFC)the National Key R&D Program of China(2020YFA0406400)。
文摘We present that by predicting the spectrum in discrete space from the phase shift in continuous space,the neural network can remarkably reproduce the numerical Lüscher's formula to a high precision.The model-independent property of the Lüscher's formula is naturally realized by the generalizability of the neural network.This exhibits the great potential of the neural network to extract model-independent relation between model-dependent quantities,and this data-driven approach could greatly facilitate the discovery of the physical principles underneath the intricate data.
