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Doctoral Thesis
DOI
10.11606/T.43.1978.tde-31082012-125212
Document
Author
Full name
Diógenes Galetti
E-mail
Institute/School/College
Knowledge Area
Date of Defense
Published
São Paulo, 1978
Supervisor
Committee
Canto, Luiz Felipe
Kodama, Takeshi
Qualifik, Paul
Title in Portuguese
Vibrações monopolares isoescalares em alguns núcleos duplamente mágicos
Keywords in Portuguese
Vibrações monopolares isoescalares em alguns núcleos duplamente mágicos
Abstract in Portuguese
Usamos o formalismo de A. Toledo Pisa e E. Passos, que usa o método de coordenadas geradores e o Teorema Espectral de Anélise Funcional, para obter uma hamiltoniana coletiva para as vibrações monopolares isoescalares nos núcleos duplamente mágicos ANPOT. 4 He, ANPOT. 16 O e ANPOT 40 C. As funções de onda do oscilador hermônico são tomadas como funções de onda geradoras, e a interação de muitos corpos é aquela de Skyrme. Com esta hamiltoniana coletiva calculamos o espectro de energias do modo monopolar isoescalar, parâmetros de inércia e módulos de incompressibilidade para aqueles núcleos e comparamos com os resultados de Flocard e Vautherin, que resolvem numericamente a equação de Griffin-Wheeler. Foram calculados ainda os raios quadráticos médios nucleares. Os efeitos espúrios dos movimentos do centro de massa são eliminados exatamente para o AMPOT. 4 He e recalculamos aquelas propriedades nucleares.
Title in English
Isoscalar monopolar vibrations in some doubly magic nuclei.
Keywords in English
Isoscalar monopolar vibrations in some doubly magic nuclei.
Abstract in English
The isoscalar monopole vibrational mode in 4 He,16 O and 40Ca is studied with the aid of collective Hamiltonians obtained from e general formalism proposed by A. Toledo Piza and E. Passos, which makes use of the generator coordinate method and Functional Analisis Spectral Theorem. Cur generator wave functions are that of the harmonic oscillator and use is made of the Skyrme's schematic effective interaction. Using the collective Hamiltonian we can calculate the energy spectrum, inertial parameters end incompressibility modulus and compare with numerical results of Flocard and Vautherin. R. m. s. radii are also calculated. Center of mass spurious effects are exactly eliminated and the forementioned nuclear properties are calculated again for 4 He.
 
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45720Galetti.pdf (11.52 Mbytes)
Publishing Date
2012-08-31
 
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