A relativistic wave equation with a local kinetic operator and an energy-dependent effective interaction for the study of hadronic systems

• Authors: Maurizio Sanctis
• Languages of publication: EN

Abstracts

EN

We study a fully relativistic, two-body, quadratic wave equation for equal mass interacting particles. With this equation the difficulties related to the use of the square roots in the kinetic energy operators are avoided. An energy-dependent effective interaction, also containing quadratic potential operators, is introduced. For pedagogical reasons, it is previously shown that a similar procedure can be also applied to the well-known case of a one-particle Dirac equation. The relationships of our model with other relativistic approaches are briefly discussed. We show that it is possible to write our equation in a covariant form in any reference frame. A generalization is performed to the case of two particles with different mass. We consider some cases of potentials for which analytic solutions can be obtained. We also study a general numerical procedure for solving our equation taking into account the energy-dependent character of the effective interaction. Hadronic physics represents the most relevant field of application of the present model. For this reason we perform, as an example, specific calculations to study the charmonium spectrum. The results show that the adopted equation is able to reproduce with good accuracy the experimental data.

Keywords

EN

relativistic wave equations; relativistic quark model; charmonium spectrum

• Publisher: De Gruyter Open
• Journal: Open Physics
• Year: 2014
• Volume: 12
• Issue: 4
• Pages: 221-232

Dates

published

1 - 4 - 2014

online

23 - 4 - 2014

Contributors

author

Maurizio Sanctis

• Universidad Nacional de Colombia, Bogotá DC, Colombia

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Identifiers

DOI

10.2478/s11534-014-0444-0