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2017•Acta Physica Polonica BOpen access

Symmetry Analysis and Some New Exact Solutions of the (2+1)-dimensional Burgers Equations

F. El-Bialy, M. S. Abdel Latif, Ahmed E. Elsaid

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Abstract

In this article, we construct the scalar-diquark-axialvector-diquarkantiquark-type interpolating currents, and study the masses and pole residues of the J P = 3 2 ± hidden-charmed pentaquark states with the QCD sum rules.In calculations, we use the formula µ = M 2 P -(2M c ) 2 to determine the energy scales of the QCD spectral densities.We obtain the masses of the hidden-charm pentaquark states with the strangeness S = -1 and S = -2, which can be confronted with the experimental data in the future.

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In this article, we construct the scalar-diquark-axialvector-diquarkantiquark-type interpolating currents, and study the masses and pole residues of the J P = 3 2 ± hidden-charmed pentaquark states with the QCD sum rules.In calculations, we use the formula µ = M 2 P -(2M c ) 2 to determine the energy scales of the QCD spectral densities.We obtain the masses of the hidden-charm pentaquark states with the strangeness S = -1 and S = -2, which can be confronted with the experimental data in the future.

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Available abstract

In this article, we construct the scalar-diquark-axialvector-diquarkantiquark-type interpolating currents, and study the masses and pole residues of the J P = 3 2 ± hidden-charmed pentaquark states with the QCD sum rules.In calculations, we use the formula µ = M 2 P -(2M c ) 2 to determine the energy scales of the QCD spectral densities.We obtain the masses of the hidden-charm pentaquark states with the strangeness S = -1 and S = -2, which can be confronted with the experimental data in the future.

Key concepts: Physics, Symmetry (geometry), Mathematical physics, Burgers' equation, Exact solutions in general relativity, Classical mechanics, Quantum mechanics, Partial differential equation

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