Quarkonium bound-state problem in momentum space revisited

Details Quarkonium bound-state problem in momentum space revisited Quarkonium bound-state problem in momentum space revisited

2006-10-10

arxiv.org/abs/quant-ph/0610075v1

AnnalsPhys.322:2315-2326,2007

Physics

Quantum Physics

Elsevier, 16 pages, no figures

Scientific paper

10.1016/j.aop.2006.10.004

A semi-spectral Chebyshev method for solving numerically singular integral equations is presented and applied in the quarkonium bound-state problem in momentum space. The integrals containing both, logarithmic and Cauchy singular kernels, can be evaluated without subtractions by dedicated automatic quadratures. By introducing a Chebyshev mesh and using the Nystrom algorithm the singular integral equation is converted into an algebraic eigenvalue problem that can be solved by standard methods. The proposed scheme is very simple to use, is easy in programming and highly accurate.

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