One-loop analysis of the interactions between doubly charmed baryons and Nambu-Goldstone bosons

Abstract The interactions between the spin-1/2 doubly charmed baryons and Nambu-Goldstone bosons are analyzed within a manifestly relativistic baryon chiral perturbation theory up to next-to-next-to leading order, by using the so-called extended-on-mass-shell scheme. We utilize heavy diquark-antiqua...

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Main Authors: Ze-Rui Liang, Peng-Cheng Qiu, De-Liang Yao
Format: Article
Language:English
Published: SpringerOpen 2023-07-01
Series:Journal of High Energy Physics
Subjects:
Online Access:https://doi.org/10.1007/JHEP07(2023)124
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author Ze-Rui Liang
Peng-Cheng Qiu
De-Liang Yao
author_facet Ze-Rui Liang
Peng-Cheng Qiu
De-Liang Yao
author_sort Ze-Rui Liang
collection DOAJ
description Abstract The interactions between the spin-1/2 doubly charmed baryons and Nambu-Goldstone bosons are analyzed within a manifestly relativistic baryon chiral perturbation theory up to next-to-next-to leading order, by using the so-called extended-on-mass-shell scheme. We utilize heavy diquark-antiquark symmetry to estimate the low-energy constants in the chiral effective Lagrangians. The S- and P-wave scattering lengths are predicted. We find that those diagrams, vanishing exactly in the heavy-quark limit, do contribute slightly to the S-wave scattering lengths in reality. The influence of the spin-3/2 doubly charmed baryons, as heavy-quark spin partners of the spin-1/2 ones, on the scattering lengths is discussed as well. Finally, S-wave phase shifts for elastic scattering processes are presented in the energy region near threshold. Our results in this work will not only be very useful for performing chiral extrapolations of future lattice QCD data, but also provide us chiral inputs for the investigation of the spectroscopy of doubly heavy baryons.
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spelling doaj.art-88db97c3043e4ef4a9d63b694f47d9902023-10-29T12:09:07ZengSpringerOpenJournal of High Energy Physics1029-84792023-07-012023714610.1007/JHEP07(2023)124One-loop analysis of the interactions between doubly charmed baryons and Nambu-Goldstone bosonsZe-Rui Liang0Peng-Cheng Qiu1De-Liang Yao2School of Physics and Electronics, Hunan UniversitySchool of Physics and Electronics, Hunan UniversitySchool of Physics and Electronics, Hunan UniversityAbstract The interactions between the spin-1/2 doubly charmed baryons and Nambu-Goldstone bosons are analyzed within a manifestly relativistic baryon chiral perturbation theory up to next-to-next-to leading order, by using the so-called extended-on-mass-shell scheme. We utilize heavy diquark-antiquark symmetry to estimate the low-energy constants in the chiral effective Lagrangians. The S- and P-wave scattering lengths are predicted. We find that those diagrams, vanishing exactly in the heavy-quark limit, do contribute slightly to the S-wave scattering lengths in reality. The influence of the spin-3/2 doubly charmed baryons, as heavy-quark spin partners of the spin-1/2 ones, on the scattering lengths is discussed as well. Finally, S-wave phase shifts for elastic scattering processes are presented in the energy region near threshold. Our results in this work will not only be very useful for performing chiral extrapolations of future lattice QCD data, but also provide us chiral inputs for the investigation of the spectroscopy of doubly heavy baryons.https://doi.org/10.1007/JHEP07(2023)124Higher-Order Perturbative CalculationsChiral LagrangianEffective Field Theories of QCD
spellingShingle Ze-Rui Liang
Peng-Cheng Qiu
De-Liang Yao
One-loop analysis of the interactions between doubly charmed baryons and Nambu-Goldstone bosons
Journal of High Energy Physics
Higher-Order Perturbative Calculations
Chiral Lagrangian
Effective Field Theories of QCD
title One-loop analysis of the interactions between doubly charmed baryons and Nambu-Goldstone bosons
title_full One-loop analysis of the interactions between doubly charmed baryons and Nambu-Goldstone bosons
title_fullStr One-loop analysis of the interactions between doubly charmed baryons and Nambu-Goldstone bosons
title_full_unstemmed One-loop analysis of the interactions between doubly charmed baryons and Nambu-Goldstone bosons
title_short One-loop analysis of the interactions between doubly charmed baryons and Nambu-Goldstone bosons
title_sort one loop analysis of the interactions between doubly charmed baryons and nambu goldstone bosons
topic Higher-Order Perturbative Calculations
Chiral Lagrangian
Effective Field Theories of QCD
url https://doi.org/10.1007/JHEP07(2023)124
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AT deliangyao oneloopanalysisoftheinteractionsbetweendoublycharmedbaryonsandnambugoldstonebosons