Modeling quark-hadron duality in polarization observables

Jeschonnek, Sabine; Orden, J. W. Van

doi:10.1103/physrevd.71.054019

Cited by 5 publications

(8 citation statements)

References 91 publications

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“…We will first argue that this condition may be interpreted as a quark-diquark (qD) spectrum and adopt the same argument as in theqq case based on the Salpeter equation [31]. The scaling of Dirac fermions with a heavy elementary diquark with a confining potential has also been studied exactly and in the WKB approximation [32,33]. If, for simplicity, we assume scalar particles and a confining qD potential, massive diquark with mass m D the Hamiltonian in the CM frame reads…”

Section: Quark-diquark Modelsmentioning

confidence: 99%

Regge trajectories of excited baryons, quark-diquark models, and quark-hadron duality

Masjuan

Arriola

2017

Phys. Rev. D

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The parton model relations in conjunction with quark-hadron duality in deep inelastic scattering suggests an asymptotic dominance of quark-diquark type of Baryonic excited states with a radial Regge uniformly distributed mass squared spectrum, M 2 n = µ 2 n + M 2 0 . We argue that this points to a linearly quark-diquark confining potential. We analyze the radial (n) and angular-momentum (J) Regge trajectories for all light-quark states with baryon number one listed in the 2016 edition of the Particle Data Tables. The parameters of the mass squared trajectories are obtained by linear regression assuming ∆M 2 n ∼ M n Γ n weighted with the width Γ n of the resonance and the error analysis is carried out accordingly.

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Section: Quark-diquark Modelsmentioning

confidence: 99%

Regge trajectories of excited baryons, quark-diquark models, and quark-hadron duality

Masjuan

Arriola

2017

Phys. Rev. D

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“…Before duality averaging procedures can be applied safely, we require a thorough understanding of where duality holds and how exact it is. Therefore, duality has been studied intensively by theorists during the past couple of years [18,20,21,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49]. Most of the theoretical studies focus on duality in electron scattering, due to the large experimental program.…”

Section: Introductionmentioning

confidence: 99%

“…Many recent papers have been devoted to modeling quark-hadron duality in simple, fully solvable relativistic models, to gain a better understanding of the conditions under which duality works [18,27,33,34,35,40,41,42,43]. The idea of modeling duality is to capture just the essential physical conditions of this rather complex phenomenon.…”

Section: Introductionmentioning

confidence: 99%

Scaling of Dirac fermions and the WKB approximation

2005

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We discuss a new method for obtaining the WKB approximation to the Dirac equation with a scalar potential and a time-like vector potential. We use the WKB solutions to investigate the scaling behavior of a confining model for quark-hadron duality. In this model, a light quark is bound to a heavy di-quark by a linear scalar potential. Absorption of virtual photons promotes the quark to bound states. The analog of the parton model for this case is for a virtual photon to eject the bound, ground-state quark directly into free continuum states. We compare the scaling limits of the response functions for these two transitions.

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“…(F. 13) In this regime one has from the developments in Appendix E that (F.17) However, if extreme conditions obtain where E R 1 then δ R may also be small even when Eq. (F.17) is not satisfied.…”

Section: Appendix E Kinematic Variablesmentioning

confidence: 99%

“…13 when the target is polarized. Each of these invariant responses is a function of four Lorentz scalars (Q 2 , I 1,2,3 ) (see Eqs.…”

mentioning

confidence: 99%

General Tensor Structure for Inclusive and Semi-inclusive Electron Scattering from Polarized Spin 1/2 Targets

Donnelly¹,

Jeschonnek²,

Orden³

2021

Preprint

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The general structure of semi-inclusive polarized electron scattering from polarized spin-1/2 targets is developed for use at all energy scales, from modestenergy nuclear physics applications to use in very high energy particle physics.The leptonic and hadronic tensors that enter in the formalism are constructed in a general covariant way in terms of kinematic factors that are frame dependent but model independent and invariant response functions which contain all of the model-dependent dynamics. In the process of developing the general problem the relationships to the conventional responses expressed in terms of the helicity components of the exchanged virtual photon are presented. For semi-inclusive electron scattering with polarized electrons and polarized spin-1/2 targets one finds that 18 invariant response functions are required, each depending on four Lorentz scalar invariants. Additionally it is shown how the semi-inclusive cross

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Modeling quark-hadron duality in polarization observables

Cited by 5 publications

References 91 publications

Regge trajectories of excited baryons, quark-diquark models, and quark-hadron duality

Regge trajectories of excited baryons, quark-diquark models, and quark-hadron duality

Scaling of Dirac fermions and the WKB approximation

General Tensor Structure for Inclusive and Semi-inclusive Electron Scattering from Polarized Spin 1/2 Targets

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