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.
Article PDF
Similar content being viewed by others
Avoid common mistakes on your manuscript.
References
E. Klempt and J.-M. Richard, Baryon spectroscopy, Rev. Mod. Phys. 82 (2010) 1095 [arXiv:0901.2055] [INSPIRE].
H.-X. Chen et al., A review of the open charm and open bottom systems, Rept. Prog. Phys. 80 (2017) 076201 [arXiv:1609.08928] [INSPIRE].
F.-K. Guo et al., Hadronic molecules, Rev. Mod. Phys. 90 (2018) 015004 [Erratum ibid. 94 (2022) 029901] [arXiv:1705.00141] [INSPIRE].
S. Chen et al., Heavy Flavour Physics and CP Violation at LHCb: a Ten-Year Review, Front. Phys. 18 (2023) 44601 [arXiv:2111.14360] [INSPIRE].
H.-X. Chen et al., An updated review of the new hadron states, Rept. Prog. Phys. 86 (2023) 026201 [arXiv:2204.02649] [INSPIRE].
L. Meng, B. Wang, G.-J. Wang and S.-L. Zhu, Chiral perturbation theory for heavy hadrons and chiral effective field theory for heavy hadronic molecules, Phys. Rept. 1019 (2023) 1 [arXiv:2204.08716] [INSPIRE].
M. Gell-Mann, A Schematic Model of Baryons and Mesons, Phys. Lett. 8 (1964) 214 [INSPIRE].
G.T. Bodwin, E. Braaten and G.P. Lepage, Rigorous QCD analysis of inclusive annihilation and production of heavy quarkonium, Phys. Rev. D 51 (1995) 1125 [Erratum ibid. 55 (1997) 5853] [hep-ph/9407339] [INSPIRE].
SELEX collaboration, First Observation of the Doubly Charmed Baryon \( {\Xi}_{cc}^{+} \), Phys. Rev. Lett. 89 (2002) 112001 [hep-ex/0208014] [INSPIRE].
SELEX collaboration, Confirmation of the double charm baryon \( {\Xi}_{cc}^{+} \) (3520) via its decay to pD+K−, Phys. Lett. B 628 (2005) 18 [hep-ex/0406033] [INSPIRE].
LHCb collaboration, Observation of the doubly charmed baryon \( {\Xi}_{cc}^{++} \), Phys. Rev. Lett. 119 (2017) 112001 [arXiv:1707.01621] [INSPIRE].
LHCb collaboration, First Observation of the Doubly Charmed Baryon Decay \( {\Xi}_{cc}^{++} \) → \( {\Xi}_c^{+}{\pi}^{+} \), Phys. Rev. Lett. 121 (2018) 162002 [arXiv:1807.01919] [INSPIRE].
F.-S. Yu et al., Discovery Potentials of Doubly Charmed Baryons, Chin. Phys. C 42 (2018) 051001 [arXiv:1703.09086] [INSPIRE].
LHCb collaboration, Measurement of the Lifetime of the Doubly Charmed Baryon \( {\Xi}_{cc}^{++} \), Phys. Rev. Lett. 121 (2018) 052002 [arXiv:1806.02744] [INSPIRE].
LHCb collaboration, Precision measurement of the \( {\Xi}_{cc}^{++} \) mass, JHEP 02 (2020) 049 [arXiv:1911.08594] [INSPIRE].
LHCb collaboration, Measurement of \( {\Xi}_{cc}^{++} \) production in pp collisions at \( \sqrt{s} \) = 13 TeV, Chin. Phys. C 44 (2020) 022001 [arXiv:1910.11316] [INSPIRE].
LHCb collaboration, Search for the doubly charmed baryon \( {\Xi}_{cc}^{+} \), Sci. China Phys. Mech. Astron. 63 (2020) 221062 [arXiv:1909.12273] [INSPIRE].
LHCb collaboration, Search for the doubly charmed baryon \( {\Xi}_{cc}^{+} \) in the \( {\Xi}_{cc}^{+}{\pi}^{-}{\pi}^{+} \) final state, JHEP 12 (2021) 107 [arXiv:2109.07292] [INSPIRE].
LHCb collaboration, Search for the doubly charmed baryon \( {\Omega}_{cc}^{+} \), Sci. China Phys. Mech. Astron. 64 (2021) 101062 [arXiv:2105.06841] [INSPIRE].
S.P. Ratti, New results on c-baryons and a search for cc-baryons in FOCUS, Nucl. Phys. B Proc. Suppl. 115 (2003) 33 [INSPIRE].
BaBar collaboration, Search for doubly charmed baryons \( {\Xi}_{cc}^{+} \) and \( {\Xi}_{cc}^{++} \) in BABAR, Phys. Rev. D 74 (2006) 011103 [hep-ex/0605075] [INSPIRE].
Belle collaboration, Observation of new states decaying into \( {\Lambda}_c^{+}{K}^{-}{\pi}^{+} \) and \( {\Lambda}_c^{+}{K}_S^0{\pi}^{-} \), Phys. Rev. Lett. 97 (2006) 162001 [hep-ex/0606051] [INSPIRE].
D. Ebert, R.N. Faustov, V.O. Galkin and A.P. Martynenko, Mass spectra of doubly heavy baryons in the relativistic quark model, Phys. Rev. D 66 (2002) 014008 [hep-ph/0201217] [INSPIRE].
M. Karliner and J.L. Rosner, Baryons with two heavy quarks: Masses, production, decays, and detection, Phys. Rev. D 90 (2014) 094007 [arXiv:1408.5877] [INSPIRE].
J.G. Korner, M. Kramer and D. Pirjol, Heavy baryons, Prog. Part. Nucl. Phys. 33 (1994) 787 [hep-ph/9406359] [INSPIRE].
R. Lewis, N. Mathur and R.M. Woloshyn, Charmed baryons in lattice QCD, Phys. Rev. D 64 (2001) 094509 [hep-ph/0107037] [INSPIRE].
L. Liu, H.-W. Lin, K. Orginos and A. Walker-Loud, Singly and Doubly Charmed J = 1/2 Baryon Spectrum from Lattice QCD, Phys. Rev. D 81 (2010) 094505 [arXiv:0909.3294] [INSPIRE].
Z.S. Brown, W. Detmold, S. Meinel and K. Orginos, Charmed bottom baryon spectroscopy from lattice QCD, Phys. Rev. D 90 (2014) 094507 [arXiv:1409.0497] [INSPIRE].
D.-L. Yao, L.-Y. Dai, H.-Q. Zheng and Z.-Y. Zhou, A review on partial-wave dynamics with chiral effective field theory and dispersion relation, Rept. Prog. Phys. 84 (2021) 076201 [arXiv:2009.13495] [INSPIRE].
A. Cerri et al., Report from Working Group 4: Opportunities in Flavour Physics at the HL-LHC and HE-LHC, CERN Yellow Rep. Monogr. 7 (2019) 867 [arXiv:1812.07638] [INSPIRE].
Q.-F. Lü, K.-L. Wang, L.-Y. Xiao and X.-H. Zhong, Mass spectra and radiative transitions of doubly heavy baryons in a relativized quark model, Phys. Rev. D 96 (2017) 114006 [arXiv:1708.04468] [INSPIRE].
W. Wang, F.-S. Yu and Z.-X. Zhao, Weak decays of doubly heavy baryons: the 1/2 → 1/2 case, Eur. Phys. J. C 77 (2017) 781 [arXiv:1707.02834] [INSPIRE].
H.-W. Ke, F. Lu, X.-H. Liu and X.-Q. Li, Study on Ξcc → Ξc and Ξcc → \( {\Xi}_c^{\prime } \) weak decays in the light-front quark model, Eur. Phys. J. C 80 (2020) 140 [arXiv:1912.01435] [INSPIRE].
H.-W. Ke and X.-Q. Li, Revisiting the transition \( {\Xi}_{cc}^{++} \) → \( {\Xi}_c^{\prime +} \) to understand the data from LHCb, Phys. Rev. D 105 (2022) 096011 [arXiv:2203.10352] [INSPIRE].
X.-Z. Weng, X.-L. Chen and W.-Z. Deng, Masses of doubly heavy-quark baryons in an extended chromomagnetic model, Phys. Rev. D 97 (2018) 054008 [arXiv:1801.08644] [INSPIRE].
W. Wang, Z.-P. Xing and J. Xu, Weak Decays of Doubly Heavy Baryons: SU(3) Analysis, Eur. Phys. J. C 77 (2017) 800 [arXiv:1707.06570] [INSPIRE].
C.Q. Geng, Y.K. Hsiao, C.-W. Liu and T.-H. Tsai, Charmed Baryon Weak Decays with SU(3) Flavor Symmetry, JHEP 11 (2017) 147 [arXiv:1709.00808] [INSPIRE].
A.V. Berezhnoy, A.K. Likhoded and A.V. Luchinsky, Doubly heavy baryons at the LHC, Phys. Rev. D 98 (2018) 113004 [arXiv:1809.10058] [INSPIRE].
H.-X. Chen et al., Establishing low-lying doubly charmed baryons, Phys. Rev. D 96 (2017) 031501 [Erratum ibid. 96 (2017) 119902] [arXiv:1707.01779] [INSPIRE].
C.-Y. Wang, C. Meng, Y.-Q. Ma and K.-T. Chao, NLO effects for doubly heavy baryons in QCD sum rules, Phys. Rev. D 99 (2019) 014018 [arXiv:1708.04563] [INSPIRE].
Z.-G. Wang, Analysis of the doubly heavy baryon states and pentaquark states with QCD sum rules, Eur. Phys. J. C 78 (2018) 826 [arXiv:1808.09820] [INSPIRE].
Y.-J. Shi, W. Wang and Z.-X. Zhao, QCD Sum Rules Analysis of Weak Decays of Doubly-Heavy Baryons, Eur. Phys. J. C 80 (2020) 568 [arXiv:1902.01092] [INSPIRE].
N. Mathur and M. Padmanath, Lattice QCD study of doubly-charmed strange baryons, Phys. Rev. D 99 (2019) 031501 [arXiv:1807.00174] [INSPIRE].
H. Bahtiyar et al., Charmed baryon spectrum from lattice QCD near the physical point, Phys. Rev. D 102 (2020) 054513 [arXiv:2004.08999] [INSPIRE].
M.J. Savage and M.B. Wise, Spectrum of baryons with two heavy quarks, Phys. Lett. B 248 (1990) 177 [INSPIRE].
S. Weinberg, Phenomenological Lagrangians, Physica A 96 (1979) 327 [INSPIRE].
J. Gasser and H. Leutwyler, Chiral Perturbation Theory to One Loop, Annals Phys. 158 (1984) 142 [INSPIRE].
J. Gasser and H. Leutwyler, Chiral Perturbation Theory: Expansions in the Mass of the Strange Quark, Nucl. Phys. B 250 (1985) 465 [INSPIRE].
V. Bernard, N. Kaiser and U.-G. Meissner, Aspects of chiral pion-nucleon physics, Nucl. Phys. A 615 (1997) 483 [hep-ph/9611253] [INSPIRE].
V. Bernard, Chiral Perturbation Theory and Baryon Properties, Prog. Part. Nucl. Phys. 60 (2008) 82 [arXiv:0706.0312] [INSPIRE].
S. Scherer and M.R. Schindler, A Primer for Chiral Perturbation Theory, Springer-Verlag Berlin Heidelberg (2012) [https://doi.org/10.1007/978-3-642-19254-8].
J. Gasser, M.E. Sainio and A. Svarc, Nucleons with Chiral Loops, Nucl. Phys. B 307 (1988) 779 [INSPIRE].
E.E. Jenkins and A.V. Manohar, Baryon chiral perturbation theory using a heavy fermion Lagrangian, Phys. Lett. B 255 (1991) 558 [INSPIRE].
T. Becher and H. Leutwyler, Baryon chiral perturbation theory in manifestly Lorentz invariant form, Eur. Phys. J. C 9 (1999) 643 [hep-ph/9901384] [INSPIRE].
T. Fuchs, J. Gegelia, G. Japaridze and S. Scherer, Renormalization of relativistic baryon chiral perturbation theory and power counting, Phys. Rev. D 68 (2003) 056005 [hep-ph/0302117] [INSPIRE].
L. Geng, Recent developments in SU(3) covariant baryon chiral perturbation theory, Front. Phys. (Beijing) 8 (2013) 328 [arXiv:1301.6815] [INSPIRE].
S.J. Brodsky, F.-K. Guo, C. Hanhart and U.-G. Meissner, Isospin splittings of doubly heavy baryons, Phys. Lett. B 698 (2011) 251 [arXiv:1101.1983] [INSPIRE].
Z.-F. Sun, Z.-W. Liu, X. Liu and S.-L. Zhu, Masses and axial currents of the doubly charmed baryons, Phys. Rev. D 91 (2015) 094030 [arXiv:1411.2117] [INSPIRE].
Z.-F. Sun and M.J. Vicente Vacas, Masses of doubly charmed baryons in the extended on-mass-shell renormalization scheme, Phys. Rev. D 93 (2016) 094002 [arXiv:1602.04714] [INSPIRE].
H.-S. Li, L. Meng, Z.-W. Liu and S.-L. Zhu, Radiative decays of the doubly charmed baryons in chiral perturbation theory, Phys. Lett. B 777 (2018) 169 [arXiv:1708.03620] [INSPIRE].
H.-S. Li, L. Meng, Z.-W. Liu and S.-L. Zhu, Magnetic moments of the doubly charmed and bottom baryons, Phys. Rev. D 96 (2017) 076011 [arXiv:1707.02765] [INSPIRE].
A.N. Hiller Blin, Z.-F. Sun and M.J. Vicente Vacas, Electromagnetic form factors of spin 1/2 doubly charmed baryons, Phys. Rev. D 98 (2018) 054025 [arXiv:1807.01059] [INSPIRE].
D.-L. Yao, Masses and sigma terms of doubly charmed baryons up to 𝒪(p4) in manifestly Lorentz-invariant baryon chiral perturbation theory, Phys. Rev. D 97 (2018) 034012 [arXiv:1801.09462] [INSPIRE].
M.-Z. Liu, Y. Xiao and L.-S. Geng, Magnetic moments of the spin-1/2 doubly charmed baryons in covariant baryon chiral perturbation theory, Phys. Rev. D 98 (2018) 014040 [arXiv:1807.00912] [INSPIRE].
Z.-H. Guo, Prediction of exotic doubly charmed baryons within chiral effective field theory, Phys. Rev. D 96 (2017) 074004 [arXiv:1708.04145] [INSPIRE].
M.-J. Yan et al., New spectrum of negative-parity doubly charmed baryons: Possibility of two quasistable states, Phys. Rev. D 98 (2018) 091502 [arXiv:1805.10972] [INSPIRE].
L. Meng and S.-L. Zhu, Light pseudoscalar meson and doubly charmed baryon scattering lengths with heavy diquark-antiquark symmetry, Phys. Rev. D 100 (2019) 014006 [arXiv:1811.07320] [INSPIRE].
P.-C. Qiu and D.-L. Yao, Chiral effective Lagrangian for doubly charmed baryons up to (q4), Phys. Rev. D 103 (2021) 034006 [arXiv:2012.11117] [INSPIRE].
Z.-R. Liang and D.-L. Yao, A unified formulation of one-loop tensor integrals for finite volume effects, JHEP 12 (2022) 029 [arXiv:2207.11750] [INSPIRE].
L. Liu et al., Interactions of charmed mesons with light pseudoscalar mesons from lattice QCD and implications on the nature of the \( {D}_{s0}^{\ast } \) (2317), Phys. Rev. D 87 (2013) 014508 [arXiv:1208.4535] [INSPIRE].
M. Altenbuchinger, L.-S. Geng and W. Weise, Scattering lengths of Nambu-Goldstone bosons off D mesons and dynamically generated heavy-light mesons, Phys. Rev. D 89 (2014) 014026 [arXiv:1309.4743] [INSPIRE].
D.-L. Yao, M.-L. Du, F.-K. Guo and U.-G. Meißner, One-loop analysis of the interactions between charmed mesons and Goldstone bosons, JHEP 11 (2015) 058 [arXiv:1502.05981] [INSPIRE].
M.-L. Du, F.-K. Guo, U.-G. Meißner and D.-L. Yao, Study of open-charm 0+ states in unitarized chiral effective theory with one-loop potentials, Eur. Phys. J. C 77 (2017) 728 [arXiv:1703.10836] [INSPIRE].
M. Lüscher, Volume Dependence of the Energy Spectrum in Massive Quantum Field Theories. II. Scattering States, Commun. Math. Phys. 105 (1986) 153 [INSPIRE].
K. Rummukainen and S.A. Gottlieb, Resonance scattering phase shifts on a nonrest frame lattice, Nucl. Phys. B 450 (1995) 397 [hep-lat/9503028] [INSPIRE].
C. Kim, C.T. Sachrajda and S.R. Sharpe, Finite-volume effects for two-hadron states in moving frames, Nucl. Phys. B 727 (2005) 218 [hep-lat/0507006] [INSPIRE].
M. Gockeler et al., Scattering phases for meson and baryon resonances on general moving-frame lattices, Phys. Rev. D 86 (2012) 094513 [arXiv:1206.4141] [INSPIRE].
R.A. Briceno, Two-particle multichannel systems in a finite volume with arbitrary spin, Phys. Rev. D 89 (2014) 074507 [arXiv:1401.3312] [INSPIRE].
T. Becher and H. Leutwyler, Low energy analysis of πN → πN, JHEP 06 (2001) 017 [hep-ph/0103263] [INSPIRE].
G.F. Chew, M.L. Goldberger, F.E. Low and Y. Nambu, Application of Dispersion Relations to Low-Energy Meson-Nucleon Scattering, Phys. Rev. 106 (1957) 1337 [INSPIRE].
M.L Goldberger and K.M. Watson, Collision theory, Courier Corporation (2004) [ISBN: 9780486435077].
G. Höhler, Pion nucleon scattering. Part 2: Methods and results of phenomenological analyses, Landolt-Börnstein (1983) [https://doi.org/10.1007/b19946].
W.R. Frazer and J.R. Fulco, Partial-Wave Dispersion Relations for Pion-Nucleon Scattering, Phys. Rev. 119 (1960) 1420 [INSPIRE].
M. Hoferichter, J. Ruiz de Elvira, B. Kubis and U.-G. Meißner, Roy-Steiner-equation analysis of pion-nucleon scattering, Phys. Rept. 625 (2016) 1 [arXiv:1510.06039] [INSPIRE].
J.A. Oller, M. Verbeni and J. Prades, Meson-baryon effective chiral lagrangians to O(q3), JHEP 09 (2006) 079 [hep-ph/0608204] [INSPIRE].
A. Gomez Nicola and J.R. Pelaez, Meson meson scattering within one loop chiral perturbation theory and its unitarization, Phys. Rev. D 65 (2002) 054009 [hep-ph/0109056] [INSPIRE].
Particle Data Group collaboration, Review of Particle Physics, PTEP 2022 (2022) 083C01 [INSPIRE].
P. Di Vecchia and G. Veneziano, Chiral Dynamics in the Large n Limit, Nucl. Phys. B 171 (1980) 253 [INSPIRE].
R. Kaiser and H. Leutwyler, Large Nc in chiral perturbation theory, Eur. Phys. J. C 17 (2000) 623 [hep-ph/0007101] [INSPIRE].
RQCD collaboration, Masses and decay constants of the η and η’ mesons from lattice QCD, JHEP 08 (2021) 137 [arXiv:2106.05398] [INSPIRE].
W.H. Press, S.A. Teukolsky, W.T. Vetterling and B.P. Flannery, Numerical Recipes in FORTRAN: The Art of Scientific Computing [INSPIRE].
F. James, MINUIT Function Minimization and Error Analysis: Reference Manual Version 94.1, CERN-D-506 (1994) [INSPIRE].
J. Bijnens and G. Ecker, Mesonic low-energy constants, Ann. Rev. Nucl. Part. Sci. 64 (2014) 149 [arXiv:1405.6488] [INSPIRE].
G. Devaraj and R.G. Stuart, Reduction of one loop tensor form-factors to scalar integrals: A General scheme, Nucl. Phys. B 519 (1998) 483 [hep-ph/9704308] [INSPIRE].
M.R. Schindler, D. Djukanovic, J. Gegelia and S. Scherer, Chiral expansion of the nucleon mass to order O(q6), Phys. Lett. B 649 (2007) 390 [hep-ph/0612164] [INSPIRE].
M.R. Schindler, D. Djukanovic, J. Gegelia and S. Scherer, Infrared renormalization of two-loop integrals and the chiral expansion of the nucleon mass, Nucl. Phys. A 803 (2008) 68 [Erratum ibid. 1010 (2021) 122175] [arXiv:0707.4296] [INSPIRE].
M. Mai, P.C. Bruns, B. Kubis and U.-G. Meissner, Aspects of meson-baryon scattering in three and two-flavor chiral perturbation theory, Phys. Rev. D 80 (2009) 094006 [arXiv:0905.2810] [INSPIRE].
J.-X. Lu, L.-S. Geng, X.-L. Ren and M.-L. Du, Meson-baryon scattering up to the next-to-next-to-leading order in covariant baryon chiral perturbation theory, Phys. Rev. D 99 (2019) 054024 [arXiv:1812.03799] [INSPIRE].
V. Crede and W. Roberts, Progress towards understanding baryon resonances, Rept. Prog. Phys. 76 (2013) 076301 [arXiv:1302.7299] [INSPIRE].
A.F. Falk, Hadrons of arbitrary spin in the heavy quark effective theory, Nucl. Phys. B 378 (1992) 79 [INSPIRE].
L.M. Nath, B. Etemadi and J.D. Kimel, Uniqueness of the interaction involving spin 3/2 particles, Phys. Rev. D 3 (1971) 2153 [INSPIRE].
V. Pascalutsa and D.R. Phillips, Effective theory of the ∆(1232) in Compton scattering off the nucleon, Phys. Rev. C 67 (2003) 055202 [nucl-th/0212024] [INSPIRE].
D.-L. Yao et al., Pion-nucleon scattering in covariant baryon chiral perturbation theory with explicit Delta resonances, JHEP 05 (2016) 038 [arXiv:1603.03638] [INSPIRE].
Y.-H. Chen, D.-L. Yao and H.Q. Zheng, Analyses of pion-nucleon elastic scattering amplitudes up to O(p4) in extended-on-mass-shell subtraction scheme, Phys. Rev. D 87 (2013) 054019 [arXiv:1212.1893] [INSPIRE].
M.-L. Du, F.-K. Guo, U.-G. Meißner and D.-L. Yao, Aspects of the low-energy constants in the chiral Lagrangian for charmed mesons, Phys. Rev. D 94 (2016) 094037 [arXiv:1610.02963] [INSPIRE].
A. Denner and S. Dittmaier, Reduction schemes for one-loop tensor integrals, Nucl. Phys. B 734 (2006) 62 [hep-ph/0509141] [INSPIRE].
J. Hu and T. Mehen, Chiral Lagrangian with heavy quark-diquark symmetry, Phys. Rev. D 73 (2006) 054003 [hep-ph/0511321] [INSPIRE].
Z.-W. Liu, Y.-R. Liu, X. Liu and S.-L. Zhu, The Pseudoscalar Meson and Heavy Vector Meson Scattering Lengths, Phys. Rev. D 84 (2011) 034002 [arXiv:1104.2726] [INSPIRE].
S.-Z. Jiang, Y.-R. Liu and Q.-H. Yang, Chiral Lagrangians for mesons with a single heavy quark, Phys. Rev. D 99 (2019) 074018 [arXiv:1901.09479] [INSPIRE].
Acknowledgments
We would like to thank Shao-Zhou Jiang and Zhan-Wei Liu for helpful discussions. This work is supported by National Nature Science Foundations of China (NSFC) under Contract Nos. 12275076, 11905258 and by the Fundamental Research Funds for the Central Universities under Contract No. 531118010379.
Author information
Authors and Affiliations
Corresponding author
Additional information
Publisher’s Note
Springer Nature remains neutral with regard to jurisdictional claims in published maps and institutional affiliations.
ArXiv ePrint: 2303.03370
Rights and permissions
Open Access . This article is distributed under the terms of the Creative Commons Attribution License (CC-BY 4.0), which permits any use, distribution and reproduction in any medium, provided the original author(s) and source are credited.
About this article
Cite this article
Liang, ZR., Qiu, PC. & Yao, DL. One-loop analysis of the interactions between doubly charmed baryons and Nambu-Goldstone bosons. J. High Energ. Phys. 2023, 124 (2023). https://doi.org/10.1007/JHEP07(2023)124
Received:
Revised:
Accepted:
Published:
DOI: https://doi.org/10.1007/JHEP07(2023)124