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| Author(s): |
Camila Sampaio Machado
Total Authors: 1
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| Document type: | Master's Dissertation |
| Press: | São Paulo. |
| Institution: | Universidade de São Paulo (USP). Instituto de Física (IF/SBI) |
| Defense date: | 2013-03-18 |
| Examining board members: |
Fernando Silveira Navarra;
Dmitri Maximovitch Guitman;
Ricardo D'Elia Matheus
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| Advisor: | Fernando Silveira Navarra |
| Abstract | |
At the present work, we explore the effects of the magnetic field on bound states. Such field is generated by non-central heavy ion collisions. Since the presence of magnetic field results in more deeply bounded states for the hydrogen, we will analyze the cases of mesons B and D. Initially we investigate the Cornell potential in the Schrödinger equation, which is usually a good description of the spectroscopy of heavy mesons. Next, as we examine the model using QCD sum rules, we tried to introduce the magnetic field and its consequences in the meson mass calculation. The starting point was to substitute the free propagator of quarks by the Schwinger propagator, which corresponds to the propagator of a fermion in the presence of an external constant magnetic field. We explored the weak field limit, where eB « m2 « M2 and of very strong fields, where eB » M2, for m being the mass of the light quark and M the mass of the heavy quark. In all cases we observed a trend of decreased meson mass due to the magnetic field. These variations could have many phenomenological implications; for instance, the production rates of quarkonium, illustrated by the method of color evaporation. (AU) | |
| FAPESP's process: | 11/05619-3 - Charming mesons excited states |
| Grantee: | Camila Sampaio Machado |
| Support Opportunities: | Scholarships in Brazil - Master |