PHYS 3446 LECTURE NOTES (21 pages)
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PHYS 3446 LECTURE NOTES
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 University of Texas at Arlington
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 Phys 3446  Nuclear and Particle Physics
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PHYS 3446 Lecture 8 Monday Oct 2 2006 Dr Jae Yu 1 Nuclear Models Shell Model Collective Model Super deformed Nuclei 2 Nuclear Radiation Monday Oct 2 2006 Alpha decay Beta decay PHYS 3446 Fall 2006 Jae Yu 1 Announcements First term exam Date and time 1 00 2 30pm THIS Wednesday Oct 4 Location SH105 Covers Appendix A special relativity CH1 CH3 Workshop was very successful We ve all learned tremendously We know what we want to do at the next workshop Monday Oct 2 2006 PHYS 3446 Fall 2006 Jae Yu 2 Nuclear Models Shell Model Exploit the success of atomic model Uses orbital structure of nucleons Electron energy levels are quantized Limited number of electrons in each level based on available spin and angular momentum configurations For nth energy level l angular momentum l n one expects a total of 2 2l 1 possible degenerate states for electrons Monday Oct 2 2006 PHYS 3446 Fall 2006 Jae Yu 3 Atomic Shell Model Reminder Orbits and energy levels an electron can occupy are labeled by Principle quantum number n n can only be integer For given n energy degenerate orbital angular momentum l The values are given from 0 to n 1 for each n For any given orbital angular momentum there are 2l 1 sub states ml ml l l 1 0 1 l l l Due to rotational symmetry of the Coulomb potential all these sub states are degenerate in energy Since electrons are fermions w intrinsic spin angular momentum h 2 Each of the sub states can be occupied by two electrons So the total number of state is 2 2l 1 Monday Oct 2 2006 PHYS 3446 Fall 2006 Jae Yu 4 Nuclear Models Shell Model Exploit the success of atomic model Uses orbital structure of nucleons Electron energy levels are quantized Limited number of electrons in each level based on available spin and angular momentum configurations For nth energy level l angular momentum l n one expects a total of 2 2l 1 possible degenerate states for electrons Quantum numbers of individual nucleons are taken into account to affect the fine structure of spectra Monday Oct 2
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