Quark structure of hadrons and nuclei

Chakrabarty, Somenath; Deoghuria, S

doi:10.1016/0146-6410(94)90050-7

Cited by 2 publications

(2 citation statements)

References 203 publications

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“…approximate solutions to a second order differential equation in configuration space. In comparison with the empirical masses [28], they are not much worse than those of potential models [29,30,31,32,33], or predictions from heavy quark symmetry [34], or even predictions based on lattice gauge calculations [35,36,37]. In view of the direct link to QCD [21] and the simplicity this should be regarded as considerable progress in the front-form approach.…”

Section: Introductionmentioning

confidence: 99%

Masses of the physical mesons from an effective QCD Hamiltonian

Pauli

Merkel

1997

Phys. Rev. D

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The front form Hamiltonian for quantum chromodynamics, reduced to an effective Hamiltonian acting only in the qq space, is solved approximately. After coordinate transformation to usual momentum space and Fourier transformation to configuration space a second order differential equation is derived. This retarded Schrödinger equation is solved by variational methods and semi-analytical expressions for the masses of all 30 pseudoscalar and vector mesons are derived. In view of the direct relation to quantum chromdynamics without free parameter, the agreement with experiment is remarkable, but the approximation scheme is not adequate for the mesons with one up or down quark. The crucial point is the use of a running coupling constant α s (Q 2 ), in a manner similar but not equal to the one of Richardson in the equal usual-time quantization. Its value is fixed at the Z mass and the 5 flavor quark masses are determined by a fit to the vector meson quarkonia.

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Section: Introductionmentioning

confidence: 99%

Masses of the physical mesons from an effective QCD Hamiltonian

Pauli

Merkel

1997

Phys. Rev. D

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“…Lattice QCD has provided numerical results describing quark confinement between two static colorful quarks, a preliminary picture of the QCD vacuum and the internal structure of hadrons in addition to a phase transition of strongly interacting matter, but it has still a long way to obtain reliable results for multiquark systems. Besides lattice QCD, many theoretical frameworks with some kind of QCD spirit were proposed, such as the QCD sum rule [14], the Dyson-Schwinger equation [15], constituent quark model [16] and so on.…”

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confidence: 99%

The exotic hadron states in quenched and unquenched quark models

Huang

Jin

Tan

et al. 2021

EPL

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In the last two decades, a large number of exotic hadron states have been observed in experiments, which arouses great attention in the hadron physics community. In this short review, we briefly summarize progresses of our group on several exotic hadron states. Two approaches, quenched and unquenched quark models, are adopted in the calculation. The channel coupling effects, the multiquark states couple to open channels and the quark-antiquark states couple to meson-meson states, are emphasized. X( 3872) is showed to be a mixture state of cc and D D * in the unquenched quark model. X(2900) can be explained as a resonance state D * K * with the quantum numbers IJ P = 00 + in both the quark delocalization color screening model and the chiral quark model. The reported state X(6900) can be explained as a compact resonance state with IJ P = 00 + in both two quark models, and several fully heavy tetraquark states are predicated. The possible hidden-charm pentaquarks are systematically investigated in QDCSM, and seven resonance states are obtained in the corresponding baryon-meson scattering process, among which the ΣcD with J P = 1 2 − , ΣcD * with J P = 3 2 − and J P = 1 2 − are consistent with the experimental report of Pc(4312), Pc(4440), and Pc(4457), respectively. More experimental data on exotic hadron states are vital for understanding exotic hadron states in quark models.

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Quark structure of hadrons and nuclei

Cited by 2 publications

References 203 publications

Masses of the physical mesons from an effective QCD Hamiltonian

Masses of the physical mesons from an effective QCD Hamiltonian

The exotic hadron states in quenched and unquenched quark models

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