Fusão nuclear catalisada por múons em duas dimensões com potencial de interação coulombiano do tipo ln(r)

• Autor(a) principal: Silveira, Felipe Carvalho Rodrigues da
• Data de Publicação: 2018
• Tipo de documento: Dissertação
• Idioma: por
• Título da fonte: Biblioteca Digital de Teses e Dissertações da UERJ
• Texto Completo: http://www.bdtd.uerj.br/handle/1/12977
• topic: Nuclear fusion; Planar physics; Quantum physics; Muonic molecule; Fusão Nuclear; Física Nuclear; Múons; Partículas(Física nuclear); CNPQ::CIENCIAS EXATAS E DA TERRA::FISICA::FISICA NUCLEAR

The ground state energies of muonic molecules formed by ionized deuterium-deuterium and tritium-tritium nuclei plus a negative muon confined in a two-dimensional spatial region is investigated by using the two-dimensional Coulomb potential of the type ln(r) for the electrostatic interaction instead of the potential 1=r frequently used. The effective two-dimensional potential of these molecules are analytically calculated within a quasi-adiabatic approximation. Then, the resulting Schrödinger equation is numerically solved for each kind of molecules with a slightly modified Numerov method. The results are compared to those of the same molecules described in three dimensions, using the same approach, and also compared to former calculations in two-dimensions adopting the 1=r Ansatz for the electrostatic potential. The comparison puts in evidence that the choice of the potential energy significantly influences the probability of nuclear fusion. In fact, we find, for the ttµ molecule, a probability of fusion 109 times greater using the two-dimensional ln(r) Coulomb potential compared to previous predictions in three-dimensions. The results of this paper shed light on a relevant question: what should be the real form of Coulomb potential in quasi two-dimensional systems? Indeed, once the theoretical results could be compared to data it will be possible to look for whether a typical almost two-dimensional confined system should be described by a two-dimensional Coulomb interaction of the type ln(r) or by the usual three-dimensional interaction.