Estimate of the Theta+ width in the Relativistic Mean Field Approximation

Abstract

In the Relativistic Mean Field Approximation three quarks in baryons from the lowest octet and the decuplet are bound by the self-consistent chiral field, and there are additional quark-antiquark pairs whose wave function also follows from the mean field. We present a generating functional for the 3-quark, 5-quark, 7-quark ... wave functions inside the octet, decuplet and antidecuplet baryons treated in a universal and compact way. The 3-quark components have the SU(6)-symmetric wave functions but with specific relativistic corrections which are generally not small. In particular, the normalization of the 5-quark component in the nucleon is about 50% of the 3-quark component. We give explicitly the 5-quark wave functions of the nucleon and of the exotic Theta+. We develop a formalism how to compute observables related to the 3- and 5-quark Fock components of baryons, and apply it to estimate the Theta+ width which turns out to be very small, 2-4 MeV, although with a large uncertainty.

25 pp., 11 figs, minor corrections

References in corpus (25)

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• ${\Theta }^{+}$ in a chiral constituent quark model and its interpolating fields
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• The pentaquark in K-plus-d total cross section data
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• Exotic baryon multiplets at large number of colours
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• Dynamical study of the pentaquark antidecuplet
• Baryons as Fock states of 3,5,... quarks
• The quantization of exotic states in SU(3) soliton models: A solvable quantum mechanical analog
• Kaon-Soliton Bound State Approach to the Pentaquark States

Cited by in corpus (21)

• Quark Wigner Distributions and Orbital Angular Momentum
• The quark orbital angular momentum from Wigner distributions and light-cone wave functions
• On the Origin of Model Relations among Transverse-Momentum Dependent Parton Distributions
• Wigner distributions and orbital angular momentum of a proton
• Quark Wigner distributions and spin-spin correlations
• Tensor charges of light baryons in the Infinite Momentum Frame
• Tensor charges and form factors of SU(3) baryons in the self-consistent SU(3) chiral quark-soliton model
• Electromagnetic properties of the Delta(1232) and decuplet baryons in the self-consistent SU(3) chiral quark-soliton model
• Improvement of the Theta+ width estimation method on the Light Cone
• Baryon vector and axial content up to the 7Q component
• Formation of a narrow baryon resonance with positive strangeness in K^+ collisions with Xe nuclei
• An explanation why the Theta+ is seen in some experiments and not in others
• A possible explanation why the Theta+ is seen in some experiments and not in others
• Axial-vector transitions and strong decays of the baryon antidecuplet in the self-consistent SU(3) chiral quark-soliton model
• To see the exotic Theta^+ baryon from interference
• On strange SU(3) partners of Theta+
• Baryon resonances in the mean field approach and a simple explanation of the Theta+ pentaquark
• SU(3) systematization of baryons
• Small size pentaquark width: calculation in QCD sum rules
• Light-cone distribution amplitudes of the nucleon and $\Delta$ baryon
• T-odd Wigner Distributions in boost-invariant longitudinal position space and Spin-momentum correlation in proton