Lecture 3: Nuclear Structure 1 • Why structure? • The nuclear potential • Schematic shell model Lecture 3: Ohio University PHYS7501, Fall 2017, Z. Meisel (
[email protected]) Empirically, several striking trends related to Z,N. e.g. B.A. Brown, Lecture Notes in Nuclear Structure Physics, 2005. M.A. Preston, Physics of the Nucleus (1962) Q B.A. Brown, Lecture Notes in Nuclear Structure Physics, 2005. Adapted from B.A. Brown, C.R. Bronk, & P.E. Hodgson, J. Phys. G (1984) P. Möller et al. ADNDT (2016) Meisel & George, IJMS (2013) A. Cameron, Proc. Astron. Soc. Pac. (1957) First magic number evidence compilation 2 by M. Göppert-Mayer Phys. Rev. 1948 …reminiscent of atomic structure B.A. Brown, Lecture Notes in Nuclear Structure Physics, 2005. hyperphysics hyperphysics 54 3 Shell Structure Atomic Nuclear •Central potential (Coulomb) generated by nucleus •No central object …but each nucleon is interacted on by the other A-1 nucleons and they’re relatively compact together •Electrons are essentially non-interacting •Nucleons interact very strongly …but if nucleons in nucleus were to scatter, Pauli blocking prevents them from scattering into filled orbitals. Scattering into higher-E orbitals is unlikely. i.e. there is no “weak interaction paradox” •Solve the Schrödinger equation for the Coulomb •Can also solve the Schrödinger equation for energy potential and find characteristic (energy levels) shells: levels (shells) …but obviously must be a different shells at 2, 10, 18, 36, 54, 86 potential: shells at 2, 8, 20, 28, 50, 82, 126 …you might be discouraged by points 1 and 2 above, but, remember: If it’s stupid but it works, it isn’t stupid.