Few-Body Systems

, 59:113 | Cite as

The S- and P-Wave Low-Lying Baryons in the Chiral Quark Model

  • Gang Yang
  • Jialun Ping
  • Jorge SegoviaEmail author


The 1S, 2S, 1P and 2P states of light baryons are investigated within the chiral quark model, paying particular attention to the well-known order reverse problem of 1P and 2S states. Besides a nonperturbative linear-screened confining interaction and a perturbative one-gluon exchange between quarks, we incorporate the Goldstone–boson exchanges taking into account not only the full octet of pseudoscalar mesons but also the scalar one. The scalar meson exchange potential simulates the higher order multi-pion exchange terms that appear in the chiral Lagrangian and its omission has been already admitted as a deficiency of the original model in describing, for instance, the \(\rho -\omega \) splitting. The numerical approach to the three-body bound state problem is the so-called Gaußian expansion method, which is able to get a precision as good as Faddeev calculations. With a set of parameters fixed to different hadron and hadron–hadron observables, we find that the chiral potential could play an important role towards the issue on the mass order reverse problem. We extend our calculation to the qqQ and qQQ sectors (with q representing a light u-, d-, or s-quark and Q denoting the charm quark or the bottom one) in which many new states have been recently observed. Some tentative assignments are done attending to the agreement between theoretical and experimental masses; however, we admit that other sources of information are needed in order to make strong claims about the nature of these states.



We are grateful for constructive comments from Craig D. Roberts, A. Valcarce, J. Vijande, and F. Wang. Work supported by: National Natural Science Foundation of China under Grant Nos. 11535005 and 11775118; European Union’s Horizon 2020 research and innovation programme under the Marie Skłodowska-Curie Grant Agreement No. 665919; Spanish MINECO’s Juan de la Cierva-Incorporación programme with Grant Agreement No. IJCI-2016-30028; and by Spanish Ministerio de Economía, Industria y Competitividad under Contract Nos. FPA2014-55613-P, FPA2017-86989-P and SEV-2016-0588.


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© Springer-Verlag GmbH Austria, part of Springer Nature 2018

Authors and Affiliations

  1. 1.Department of Physics and Jiangsu Key Laboratory for Numerical Simulation of Large Scale Complex SystemsNanjing Normal UniversityNanjingPeople’s Republic of China
  2. 2.IFAE and BISTUniversitat Autònoma de BarcelonaBellaterra, BarcelonaSpain

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