Abstract:Abstract. We review the application of non-relativistic constituent quark models to study one, two and three non-strange baryon systems. We present results for the baryon spectra, potentials and observables of the NN, N∆, ∆∆ and NN * (1440) systems, and also for the binding energies of three non-strange baryon systems. We make emphasis on observable effects related to quark antisymmetry and its interplay with quark dynamics.
In the past decade many charmonium-like states were observed experimentally. Especially those charged charmoniumlike Z c states and bottomonium-like Z b states can not be accommodated within the naive quark model. These charged Z c states are good candidates of either the hidden-charm tetraquark states or molecules composed of a pair of charmed mesons. Recently, the LHCb Collaboration discovered two hidden-charm pentaquark states, which are also beyond the quark model. In this work, we review the current experimental progress and investigate various theoretical interpretations of these candidates of the multiquark states. We list the puzzles and theoretical challenges of these models when confronted with the experimental data. We also discuss possible future measurements which may distinguish the theoretical schemes on the underlying structures of the hidden-charm multiquark states.
In the past decade many charmonium-like states were observed experimentally. Especially those charged charmoniumlike Z c states and bottomonium-like Z b states can not be accommodated within the naive quark model. These charged Z c states are good candidates of either the hidden-charm tetraquark states or molecules composed of a pair of charmed mesons. Recently, the LHCb Collaboration discovered two hidden-charm pentaquark states, which are also beyond the quark model. In this work, we review the current experimental progress and investigate various theoretical interpretations of these candidates of the multiquark states. We list the puzzles and theoretical challenges of these models when confronted with the experimental data. We also discuss possible future measurements which may distinguish the theoretical schemes on the underlying structures of the hidden-charm multiquark states.
“…This model was proposed in the early 1990's in an attempt to obtain a simultaneous description of the nucleon-nucleon interaction and the baryon spectra [38]. It was later on generalized to all flavor sectors giving a reasonable description of the meson [39] and baryon spectra [40].…”
Section: B Constituent Quark Cluster Model (Cqc)mentioning
The four-quark system c cn n is studied in the framework of the constituent quark model. Using different types of quark-quark potentials, we solve the four-body Schrödinger equation by means of the hyperspherical harmonic formalism. Exploring the low laying J PC states for different isospin configurations no four-quark bound states have been found. Of particular interest is the possible four-quark structure of the X 3872 . We rule out the possibility that this particle is a compact tetraquark system, unless additional correlations, either in the form of diquarks or at the level of the interacting potential, not considered in simple quark models do contribute.
“…The baryon-baryon interactions involved in the study of the coupled NN-N N system are obtained from the chiral constituent quark model [1,2]. In this model, baryons are described as clusters of three interacting massive (constituent) quarks, the mass coming from the spontaneous breaking of chiral symmetry.…”
Section: A Two-body Interactionsmentioning
confidence: 99%
“…The chiral constituent quark model has been very successful in the simultaneous description of the baryon-baryon interaction and the baryon spectrum as well as in the study of the two-and three-baryon bound-state problem for the nonstrange sector [1]. A simple generalization of this model to the strange sector has been applied to study the meson and baryon spectra [2] and the NN bound-state problem [3].…”
Using the two-body interactions obtained from a chiral constituent quark model, we study all N N and NN states with I = 0, 1, 2 and J = 1/2, 3/2 at threshold, taking into account all three-body configurations with S and D wave components. We constrain further the limits for the N spin-triplet scattering length a 1/2,1 . Using the hypertriton binding energy, we find a narrow interval for the possible values of the N spin-singlet scattering length a 1/2,0 . We find that the NN system has a quasibound state in the (I, J ) = (1, 1/2) channel very near threshold with a width of about 2.1 MeV.
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