Nuclear physics II

Nuclear Shell Model : Single particle and collective motions in nuclei, Assumptions and justification of the shell model, average shell potential, spin orbit coupling, single particle wave functions and level sequence, magic numbers, shell model predictions for ground state parity, angular momentum, magnetic dipole and electric quadruple moments, and their comparisons with experimental data, configuration mixing, single particle transition probability according to the shell model, selection rules, approximate estimates for the transition probability and Weiss Kopf units, Nuclear isomerism.

Collective Nuclear Models : Collective variable to describe the cooperative modes of nuclear motion, Parameterization of nuclear surface, A brief description of the collective model Hamiltonian (in the quadratic approximation), Vibrational modes of a spherical nucleus, Collective modes of a deformed even-even nucleus and moments of inertia, Collective spectra and electromagnetic transition in even nuclei and comparison with experimental data, Nilsson model for the single particle states in deformed nuclei.

Nuclear Gamma and Beta decay: Electric and magnetic multipole moments and gamma decay probabilities in nuclear systems (no derivations), Reduced transition probability, Selection rules, Internal conversion and zero-zero transition.                

General characteristics of weak interaction:  nuclear beta decay and lepton capture, electron energy spectrum and Fermi-Curie PSOt, Fermi theory of beta decay (parity conserved selection rules Fermi and Gamow-Teller) for allowed transitions, ft-values, General interaction Hamiltonian for beta decay with parity conserving and non conserving terms; Forbidden transitions, Experimental verification of parity violation, The V-A interaction and experimental verification.

Nuclear Reactions: Theories of Nuclear Reactions, Partial wave analysis of reaction Cross section, Compound nucleus formation and breakup, Resonance scattering and reaction-Breit-Wigner dispersion formula for s-waves (1 = 0), continuum cross section, Statistical theory of nuclear reactions, evaporation probability and cross section for specific reactions, The optical model, Strapping and pick-up reactions and their simple theoretical description (Butler theory) using plane wave Born approximation (PWBA), Shortcomings of PWBA, Nuclear structure studies with deuteron strapping (d, p) reactions.