Mini Review of Poincaré Invariant Quantum Theory

We study the charmonium spectrum using a complete one gluon exchange approach based on a phenomenological relativistic qq potential model with Dirac spinors in momentum space. We use phenomenological screening factors to include vacuum quantum effects. Our formulation does not rely on nonrelativistic approximations. We fit the lowest-lying charmonia (below the DD threshold) and predict the higher-lying resonances of the spectrum. In general, we reproduce the overall structure of the charmonium spectrum and, in particular, we can reasonably describe the X(3872) resonance mass as (mostly) a cc state. The numerical values of the free parameters of the model are determined taking into account also the experimental uncertainties of the resonance energies. In this way, we are able to obtain the uncertainties of the theoretical resonance masses and the correlation among the free parameters of the model.

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“…the scalar, vector, pseudoscalar, tensor and pseudotensor terms. Further details can be found in [33,34].…”

Section: Introductionmentioning

confidence: 99%

Charmonium spectrum with a Dirac potential model in the momentum space

2017

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“…At high energies one could expect deficiencies in the nonrelativistic Faddeev approach. That is why we constructed a relativistic framework in the form of relativistic Faddeev equations [12][13][14][15][16][17][18] according to the Bakamjian-Thomas theory [19]. However, the relativistic effects turned out to be generally small and insufficient to significantly improve the data description.…”

Section: Introductionmentioning

confidence: 99%

Three-nucleon force effects in the FSI configuration of the d(n, nn)p breakup reaction

Kamada

Witała

Golak

et al. 2020

SciPost Phys. Proc.

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We investigated three-nucleon (3N) force effects in the final state interaction (FSI) configuration of the d (n,nn) pd(n,nn)p breakup reaction at the incoming nucleon energy E_nEn= 200 MeV. Although 3N force effects for the elastic nucleon-deuteron scattering cross section at comparable energies are located predominantly in the region of intermediate and backward angles, the corresponding 3N force effects for the integrated FSI configuration breakup cross section are found also at forward scattering angles.

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“…In refs. [56,57], it was "relativized" and reformulated within the Point Form formalism [72,73,74]. In ref.…”

Section: Introductionmentioning

confidence: 99%

Dirac Shell Quark-core Model for the Study of Non-strange Baryonic Spectroscopy

Sanctis

2019

Acta Phys. Pol. B

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A Dirac shell model is developed for the study of baryon spectroscopy, taking into account the most relevant results of the quark-diquark models. The lack of translational invariance of the shell model is avoided, in the present work, by introducing a scalar-isoscalar fictitious particle that represents the origin of quark shell interaction; in this way the states of the system are eigenstates of the total momentum of the baryon. Only one-particle excitations are considered. A two-quark core takes the place of the diquark, while the third quark is excited to reproduce the baryonic resonances. For the N (939) and ∆(1232), that represent the ground states of the spectra, the three quarks are considered identical particles and the wave functions are completely antisymmetric. The model is used to calculate the spectra of the N and ∆ resonances and the nucleon magnetic moments. The results are compared to the present experimental data. Due to the presence of the core and to the one-particle excitations, the structure of the obtained spectra is analogous to that given by the quark-diquark models.

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Mini Review of Poincaré Invariant Quantum Theory

Cited by 31 publications

References 91 publications

Charmonium spectrum with a Dirac potential model in the momentum space

Charmonium spectrum with a Dirac potential model in the momentum space

Three-nucleon force effects in the FSI configuration of the d(n, nn)p breakup reaction

Dirac Shell Quark-core Model for the Study of Non-strange Baryonic Spectroscopy

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