In this paper, we calculated the magnetic decay widths between two mesons containing two different heavy quarks ($c\overline{b}$) for the process of $B^{*}_{c}\rightarrow B_{c}+\gamma$, within the framework of Bethe-Salpeter approach. The calculated values are found to be in a reasonable agreement with other theoretical results.
Table of Contents
1 Introduction
2 Calculation of decay widths between two mesons
3 Conclusion
Research Objectives and Topics
The primary objective of this research is to calculate the magnetic dipole decay widths between two mesons containing two different heavy quarks, specifically focusing on the transition process B*c → Bc + γ, utilizing the Bethe-Salpeter approach within the covariant instantaneous ansatz framework to validate the model's predictive accuracy.
- Bethe-Salpeter equation framework
- Calculation of magnetic dipole decay widths
- Relativistic bound state problems
- Heavy meson transition processes
- Ground and excited state meson spectroscopy
Excerpt from the Book
1 Introduction
The study of mass spectrum and decay transitions between two mesons containing two different heavy quarks (cb) can help us for further understanding about the bound state of heavy quark and anti-quark systems and the non-perturbative regime of QCD. There are many non-perturbative models proposed to describe the hadronic sector, such as [1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19], have been proposed to deal with the long distance property of QCD. From the above models, the Bethe-Salpeter equation (BSE) [7, 11, 12, 13, 14, 15, 16, 17, 18] model is a successful approach in dealing with relativistic bound state problems. From the solutions os BSE, we can obtain useful information about the inner structure of hadrons, which is also crucial in treating hadronic decay transitions. It is firmly rooted in field theory, provides a realistic description for analyzing hadrons as composite objects.
Summary of Chapters
1 Introduction: Provides an overview of the study of mass spectra and decay transitions for heavy quark-antiquark systems, introducing the Bethe-Salpeter equation as the primary framework.
2 Calculation of decay widths between two mesons: Details the mathematical derivation of the transition amplitude and decay rates for the B*c → Bc + γ process using Feynman diagrams and BS wave functions.
3 Conclusion: Summarizes the calculated results for magnetic dipole decay widths and compares them with other theoretical models, noting the current lack of experimental data.
Keywords
Bethe-Salpeter equation, magnetic dipole decay, heavy mesons, B*c meson, transition amplitude, quantum field theory, hadronic decay, mass spectrum, radiative decay, quark systems, non-perturbative QCD, relativistic bound state.
Frequently Asked Questions
What is the primary focus of this research?
The work focuses on calculating the magnetic dipole decay widths for the transition of vector heavy mesons containing different heavy quarks (specifically the B*c to Bc transition) using the Bethe-Salpeter approach.
What are the central themes of the document?
The central themes include relativistic hadronic physics, the application of the Bethe-Salpeter equation to heavy quark systems, and the evaluation of electromagnetic transition amplitudes.
What is the main goal or research question?
The main goal is to test the validity of the established Bethe-Salpeter framework under the covariant instantaneous ansatz by predicting decay widths for processes involving different heavy quarks.
Which scientific method is employed?
The study utilizes the Bethe-Salpeter equation (BSE) framework, specifically under a covariant instantaneous ansatz (CIA), to model the inner structure of hadrons and calculate transition amplitudes.
What topics are covered in the main body?
The main body covers the mathematical derivation of decay width expressions, the projection of BS wave functions for unequal mass mesons, and the numerical evaluation of these widths using specific model parameters.
Which keywords best characterize this work?
Key terms include Bethe-Salpeter equation, magnetic dipole decay, heavy mesons, B*c meson, and relativistic bound states.
How does the author treat the contribution of higher-order components?
The author identifies "++" and "--" components in the amplitude, noting that the "--" contribution is less than 1% and therefore can be neglected in the final total amplitude calculation.
How does the model perform compared to existing theories?
The calculated results show a reasonable agreement with other theoretical studies (such as NRPM and other BSE models), though the author notes that experimental data is currently unavailable for final confirmation.
- Quote paper
- Hluf Negash (Author), 2020, Calculation of magnetic dipole decay widths between two mesons containing two different heavy quarks within the framework of BS approach, Munich, GRIN Verlag, https://www.hausarbeiten.de/document/537060
