Modelo de interacción relativista para el espectro de mesones
Cargando...
Autores
Director
Tipo de contenido
Document language:
Español
Fecha
Título de la revista
ISSN de la revista
Título del volumen
Documentos PDF
Resumen
Se construye un modelo de interacción relativista basado en el intercambio de un gluón, en el que se utilizan espinores de Dirac de energía positiva. La formulación aquí desarrollada, no utiliza aproximaciones no relativistas y de esta forma, la interacción es construida completamente en el espacio del momentum. El Hamiltoniano de interacción cuenta con una interacción vectorial y una interacción escalar y además se introducen factores de apantallamiento con el fin de incluir efectos cuánticos de vacío. Para determinar los parámetros libres del modelo se realiza un ajuste (fit) utilizando los valores experimentales de estados bien establecidos tanto para el charmonium como para el bottomonium y se predice la parte alta del espectro para ambos sistemas mesónicos. En general, se predice la estructura completa del charmonium y del bottomonium, describiendo razonablemente bien. Los valores numéricos de los parámetros libres del modelo son determinados teniendo en cuenta también las incertidumbres experimentales de las energías de las resonancias utilizadas en el proceso de ajuste (fit).Así, se obtienen las incertidumbres de las masas de las resonancias teóricas, de los parámetros del modelo y las correlaciones entre los parámetros libres del modelo.
Abstract: A relativistic interaction model is constructed based on one gluon exchange expression, in which positive energy Dirac spinors are used. The formulation developed here, does not use nonrelativistic approaches, in this way, the interaction is built completely in the momentum space. The Hamiltonian of interaction has a vector interaction and a scalar interaction and also introduces screening factors in order to include quantum vacuum effects. To determine the free parameters of the model an fitting is made using the experimental values of well established states for both the charmonium and the bottomonium and the upper part of the spectrum is predicted for both mesonic systems. In general, the complete structure of the charmonium and the bottomonium is predicted in a good way. The numerical values of the free parameters of the model are determined also taking into account the experimental uncertainties of the resonance energies used in the fitting process. In this way, the uncertainties of the masses of the theoretical resonances, the parameters of the model and also the correlations between the free parameters of the model are obtained.
Abstract: A relativistic interaction model is constructed based on one gluon exchange expression, in which positive energy Dirac spinors are used. The formulation developed here, does not use nonrelativistic approaches, in this way, the interaction is built completely in the momentum space. The Hamiltonian of interaction has a vector interaction and a scalar interaction and also introduces screening factors in order to include quantum vacuum effects. To determine the free parameters of the model an fitting is made using the experimental values of well established states for both the charmonium and the bottomonium and the upper part of the spectrum is predicted for both mesonic systems. In general, the complete structure of the charmonium and the bottomonium is predicted in a good way. The numerical values of the free parameters of the model are determined also taking into account the experimental uncertainties of the resonance energies used in the fitting process. In this way, the uncertainties of the masses of the theoretical resonances, the parameters of the model and also the correlations between the free parameters of the model are obtained.