Solution of Two-Body Bound State Problems with Confining Potentials

Details Solution of Two-Body Bound State Problems with Confining Potentials Solution of Two-Body Bound State Problems with Confining Potentials

2011-04-19

arxiv.org/abs/1104.3891v1

AIP Conf.Proc.1296:334-337,2010

Physics

High Energy Physics

High Energy Physics - Phenomenology

6 pages, 5 tables

Scientific paper

10.1063/1.3523199

The homogeneous Lippmann-Schwinger integral equation is solved in momentum space by using confining potentials. Since the confining potentials are unbounded at large distances, they lead to a singularity at small momentum. In order to remove the singularity of the kernel of the integral equation, a regularized form of the potentials is used. As an application of the method, the mass spectra of heavy quarkonia, mesons consisting from heavy quark and antiquark $(\Upsilon(b\bar{b}), \psi(c\bar{c}))$, are calculated for linear and quadratic confining potentials. The results are in good agreement with configuration space and experimental results.

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