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Franklin, Jerrold

doi:10.1103/physrevd.66.033010

Cited by 44 publications

(33 citation statements)

References 26 publications

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“…A least-squares fit [22] to baryon magnetic moments and axial transition rates in which pions were added to SU(2) baryonic wave functions generated results similar to the results presented here, including large pionic fluctuations and a numerical equality for the value of the pionic orbital angular momentum and thed-ū asymmetry.…”

supporting

confidence: 50%

Orbital angular momentum in the nucleon

Garvey

2010

Phys. Rev. C

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Analysis of the measured value of the integratedd-ū asymmetry (I fas = 0.147 ± 0.027) in the nucleon show it to arise from nucleon fluctuations into baryon plus pion. Requiring angular momentum conservation in these fluctuations shows the associated orbital angular momentum is equal to the value of the flavor asymmetry. DOI: 10.1103/PhysRevC.81.055212 PACS number(s): 14.20. Dh, 11.30.Hv, 14.65.Bt The partonic composition of nucleon spin has continued to occupy the attention of physicists for the past 20 years [1]. The measured asymmetry in deep inelastic lepton scattering off polarized nucleonic targets convincingly demonstrates that the summed projection of quark spins is appreciably less than the projection of the nucleon angular momentum. This short fall was in earlier times termed a "spin crisis." Currently the value of projected spin of the quarks on the total angular momentum of the proton is taken to be. Thus the projected spin carried by quarks is observed to be ∼40% of the proton's total angular momentum. Theory and experiment continue to investigate where the rest of the proton's angular momentum might reside. The most recent data suggests that the spin carried by gluons ( g) is small [2] so one must look to orbital angular momentum (OAM) carried by quarks and gluons to account for the smaller than expected angular momentum found on quark spin.The proton's total AM can be written aswith corresponding projections along the total AML q,3 is the projection of quark OAM, with the latter two terms being the projection of spin and OAM of gluons. At the present time there exists no measurement of the OAM carried by quarks or gluons. Measuring the OAM is experimentally difficult [3] but may be possible by measuring generalized parton distributions [4]. Calculation of the quark OAM has recently been carried out on the lattice [5]. In the following it will be shown shown that the OAM created in hadronic fluctuations into baryon + Goldstone boson configurations can be an important ingredient in confronting the smaller than expected value of the spin carried by quarks. The data fixing the quark spin contributions has three sources (semileptonic axial weak decays determine the following spin combinations): (i) SU(2), ( SU(2) = u − d) and (ii) SU(3) ( SU(3) = u + d − 2 s), and (iii) the asymmetry in DIS from longitudinally polarized nucleons. The approximately Q 2 = 0, axial weak decay rates of the nucleon and hyperons contain all the correlations present in those baryonic systems while the result extracted from DIS directly accesses the charge-weighted quark spins essentially free of correlations. The approach employed below invokes a model with specific correlations (pions) that quantitatively accounts for the observed properties of theū,d difference in the proton to obtain a contribution to the OAM in the nucleon.Measurement of the flavor asymmetry in the proton via muon DIS [5] showed a large violation of the Gottfried sum rule.x dxThe measured value [6] for the integral over the sea quarks is I fas = 0.176 ±...

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supporting

confidence: 50%

Orbital angular momentum in the nucleon

Garvey

2010

Phys. Rev. C

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“…Although the curves differ considerably for small light quark mass, they are quite similar in the larger range. On the figure we show constituent quark masses obtained by analyses of hyperon magnetic moments [15,18]. The result justifies our choice of 500 MeV for the strange quark and 300 MeV for the nonstrange quark.…”

Section: B Constituent Quark Massesmentioning

confidence: 73%

Direct experimental test of scalar confinement

et al. 2004

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The concept of Lorentz scalar quark confinement has a long history and is still widely used despite its well-known theoretical faults. We point out here that the predictions of scalar confinement also conflict directly with experiment. We investigate the dependence of heavy-light meson mass differences on the mass of the light quark. In particular, we examine the strange and non-strange D mesons. We find that the predictions of scalar confinement are in considerable conflict with measured values.Comment: REVTeX4, 7 pages, 4 EPS figure

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“…The combination of the two results leads to µ Ω − = (−2.019 ± 0.054)µ N [1,14]. Several works followed with estimations of µ Ω − [15,16,17,18,19,20,21,22,23,24,25,26,27,28,29]. The Ω − electric quadrupole moment was also predicted [22,23,30,31,32,33,34,35,36,37,38,39,40], although there is no experimental result.…”

Section: ωmentioning

confidence: 99%