The 1/Nc expansion provides a theoretical method for analyzing the spin-flavor symmetry properties of baryons in QCD that is quantitative, systematic and predictive. An exact spinflavor symmetry exists for large-Nc baryons, whereas for QCD baryons, the spin-flavor symmetry is approximate and is broken by corrections proportional to the symmetry-breaking parameter 1/Nc = 1/3. The 1/Nc expansion ...

A systematic expansion in 1/Nc is constructed for baryons in QCD. Predictions of the 1/Nc expansion at leading and subleading order for baryon axial current coupling constant ratios such as F/D, baryon masses and magnetic moments are derived. The baryon sector of QCD has a light quark spin-flavor symmetry at leading order in 1/Nc. The formalism of induced representations for contracted Lie alge...

On the basis of the topological l/Nc expansion, various types of the distribution function for the soft and the hard processes are obtained, which contain the freedoms pertaining to the underlying string structure of hadronic reactions. It is stressed that the distribution functions for the soft process refer to the energy fractions of jets and are distinct from those for the hard process in th...

1 Department of Mathematics, Nandalal Ghosh B.T. College, Panpur, P.O.-Narayanpur, District –North 24 4 Parganas, Pin code-743126, West Bengal, India; [email protected] 5 2 Department of Mathematics, Indian Institute of Engineering Science and Technology, Shibpur, P.O.-Botanic 6 Garden, Howrah-711103, West Bengal, India; [email protected] (S.A.); [email protected] (T.K.R.) 7 * Corresp...

For given non-abelian group G, the non-commuting (NC)-graph $Gamma(G)$ is a graph with the vertex set $G$ $Z(G)$ and two distinct vertices $x, yin V(Gamma)$ are adjacent whenever $xy neq yx$. The aim of this paper is to compute the spectra of some well-known NC-graphs.

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The 1/Nc expansion has proven useful for studying the spin-flavor properties of baryons containing light quarks. A spin-flavor symmetry for baryons is defined in large-Nc QCD. Away from the Nc → ∞ limit, 1/Nc corrections which break large-Nc baryon spin-flavor symmetry can be classified in terms of the spin and flavor symmetries which remain for finite Nc. Since explicit SU(3) flavor symmetry b...