Abstract

We create quarks from baryons in stead of constituting baryons from quarks. The quantum fields of QCD are generated via the exterior derivative (momentum form) of baryon wave functions on an intrinsic configuration space, the Lie group U(3). Local gauge transformations correspond to coordinate translations in the intrinsic space. A proton spin structure function and a proton magnetic moment are derived. We show how the spectrum of unflavoured baryons, the N and Delta resonances, can be understood from a mass Hamiltonian on the intrinsic space and note how our model resolves the problem of colour confinement. We calculate an approximate value for the relative neutron-to-proton mass shift and give an exact value for the neutron mass. We predict neutral charge singlets that may be interpreted as neutral pentaquarks at LHCb.

Highlights

  • We create quarks from baryons in stead of constituting baryons from quarks

  • The quantum fields of QCD are generated via the exterior derivative of baryon wave functions on an intrinsic configuration space, the Lie group U (3)

  • We show how the spectrum of unflavoured baryons, the N and Delta resonances, can be understood from a mass Hamiltonian on the intrinsic space and note how our model resolves the problem of colour confinement

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Summary

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- The chiral model of Sakai-Sugimoto at finite baryon density Keun-Young Kim, Sang-Jin Sin and Ismail Zahed. We consider quarks and gluons as scattering states on baryons We create their corresponding fields ψj and G(k) via the momentum forms dR and dΦ acting on the toroidal generators iTj and the basis iλk of the adjoint representation of the su(3) algebra, respectively, ψj(u) = dRu(∂j), G(k)(u) = dΦu(∂k). One may speculate that the finite values of current masses mu, md represent a topological tension from mapping the curved intrinsic group to the flat algebra in laboratory space, somewhat like our interpretation of the electron as a peel-off from the neutron in the n → p decay [9] which scales (1) by πa ≡ re via the strength of the electric charge in the classical electron radius, me c2.

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Level Eigenvalue Diminished Augmented
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