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2014 | 12 | 4 | 221-232
Tytuł artykułu

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

Treść / Zawartość
Warianty tytułu
Języki publikacji
EN
Abstrakty
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.
Wydawca
Czasopismo
Rocznik
Tom
12
Numer
4
Strony
221-232
Opis fizyczny
Daty
wydano
2014-04-01
online
2014-04-23
Twórcy
Bibliografia
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Typ dokumentu
Bibliografia
Identyfikatory
Identyfikator YADDA
bwmeta1.element.-psjd-doi-10_2478_s11534-014-0444-0
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