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Energies of four-quark systems calculated by the static quenched SU(2) lattice Monte Carlo method are analyzed in 22 bases for square, rectangle, tilted rectangle, linear and quadrilateral geometry conngurations and in 3 3 bases for a non-planar geometry connguration. For small interquark distances, a lattice eeect is taken into account by considering… (More)

and Applied Analysis 3 where E = ⟨x u , x u ⟩ , F = ⟨x u , xV⟩ , G = ⟨xV, xV⟩ (3) are the first fundamental coefficients, and e = ⟨N, x uu ⟩ , f = ⟨N, x uV⟩ , g = ⟨N, xV⟩ (4) are the second fundamental coefficients with N (u, V) = xu × xV xu × xV , (5) being the unit normal to the surface x(u, V). For a minimal surface [6, 33] the mean… (More)

- Daud Ahmad, Bilal Masud
- Applied Mathematics and Computation
- 2014

- Daud Ahmad, Bilal Masud
- Computers & Mathematics with Applications
- 2015

We calculate the minimal surface bounded by four-sided figures whose projection on a plane is a rectangle, starting with the bilinear interpolation and using, for smoothness, the Chebyshev polynomial expansion in our discretized numerical algorithm to get closer to satisfying the zero mean curvature condition. We report values for both the bilinear and… (More)

- Bilal Masud
- 2008

Here is presented a four-body potential model for q2q̄2 systems which includes both the spin and flavour degrees of freedom, extending the formalism presented already in the spin independent situation. This allows an application to a realistic situation, which is chosen to be KK̄ scattering. It is seen that because of the gluonic effects in this multi-quark… (More)

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