QC105 : Determine Nucleus Binding Energy with similar interaction molecule with Morse potential and another suitable potential
Thesis > Central Library of Shahrood University > Physics > MSc > 2012
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Abstarct:
Whenever each scientifics disciplines are making progress, issues raised are getting complicated. Over time, various methods for studying few-body system were developed by different people. In the case of quantum mechanics, a problem scrutiny few-body system in low energy is equal to solving the Schrödinger equation for that system. In this project, I chose Hyperspherical Harmonic expansion method to investigate three particles systems. First, we rewrite the Morse potential of molecular (is used to describe the diatomic molecule) in the way that we can use it in the three particles systems. Then, by adding a sentence to potential, we change it in the way that it can be used for a nuclear system. We consider this potential as a three particles potential and assume that the whole system is influenced by this potential. Next, using Jacobi coordinates, is solved the Schrödinger equation in the six-dimensional space (by eliminating the center of mass coordinates) with apply Ansatze method; we obtained eigenfunction of ground state and Binding energy for nucleus of Helium . The mean square radius is also obtained. Using Mie and Yukawa potential calculated eigenstate of deuteron ground state and Binding energy.
Keywords:
#Hyperspherical Harmonic expansion method #Three-body system #Morse potential #Binding energy #Mie potential #Yukawa potential #Jacobi coordinate #Binding energy #root mean square radius #NU method. Link
Keeping place: Central Library of Shahrood University
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Keeping place: Central Library of Shahrood University
Visitor: