![]() An explicit basis construction in the Hilbert space of the collective phenomenological nuclear Hamiltonian generalized to six degrees of freedom in both limits is given. Nadzhakov, E.īasis states characterized by quantum numbers traditionally used in the rotational and the vibrational limits are treated in an unified way. ![]() The results are compared with measured data.īasis states for the rotational and vibrational limits of nuclear collective motion For harmonic oscillator mean-field potentials, these equations are solved in closed forms for excitation energy, cut-off angular momentum, and other nuclear properties for the ground-state rotational band in some deformed nuclei. The approach yields three self-consistent, time-reversal invariant, cranking-type Schrodinger equations for the rotation- vibration and intrinsic motions, and a self-consistency equation. The associated constraints are imposed on the wavefunction rather than on the particle co-ordinates. The nuclear Schrodinger equation is canonically transformed to collective co-ordinates, which is then linearized using a constrained variational method. The derivation is not limited to small oscillation amplitude. We derive a microscopic version of the successful phenomenological hydrodynamic model of Bohr-Davydov-Faessler-Greiner for collective rotation- vibration motion of an axially symmetric deformed nucleus. Gulshani, P., E-mail: [NUTECH Services, 3313 Fenwick Crescent, Mississauga, Ontario, L5L 5N1 (Canada) It also gives the opportunity to detail someĪ microscopic derivation of nuclear collective rotation- vibration model and its application to nucleiĮnergy Technology Data Exchange (ETDEWEB) This report is not a review article, but should be considered as a reading guide of the main papers my collaborators and myself have published. Beside the quest for a unified model of nuclear dynamics, possible applications of heavy-ion collisions such as the formation of new nuclei is also a strong motivation for the experimental and theoretical studies of reaction mechanisms. In particular, all the numerical applications presented in this report have been obtained from few numerical codes solving equations derived from the same variational principle. This desire for a global approach to nuclear dynamics has strongly influenced my research activities. Ultimately, the same theoretical model should be able to describe vibrations, rotations, fission, all the possible outcomes of heavy-ion collisions (elastic and inelastic scattering, particle transfer, fusion, and multifragmentation), and even the dynamics of neutron star crust. ![]() An important goal of nuclear physics is to find a unified way to describe the dynamics of nuclear systems. The description of the dynamics of composite systems can be very challenging, especially when two such systems interact. To describe these complex systems, one needs to solve the quantum many-body problem. Another example could be taken from the collision of nuclei where the transfer of few nucleons may have a strong impact on the formation of a compound system is non trivial. For instance, giant resonances are characterised by a collective vibration of many nucleons, but their decay may occur by the emission of a single nucleon. In particular, the interplay between collective motion and single-particle degrees of freedom is a source of complex and fascinating behaviours. The choice of this field has been motivated by the desire to understand the physics of complex systems obeying quantum mechanics. This report gives a summary of my research on nuclear dynamics during the past ten years. Nuclear quantum many-body dynamics: from collective vibrations to heavy-ion collisions With the introduction of collective spin dependent potentials, this linearised Schroedinger equation is then used for the description of low energy spectra and electromagnetic transition probabilities of some even-odd Xe, Ir and Au nuclei which have a spin 3/2 in their groundstate. The linearisation of the Schroedinger equation for nuclear quadrupole surface vibrations yields a new spin degree of freedom, which is called collective spin and has a value of 3/2. International Nuclear Information System (INIS) Linearised collective Schroedinger equation for nuclear quadrupole surface vibrations
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