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6 papers · 2 filters
Symmetries at and Near Critical Points of Quantum Phase Transitions in Nuclei
A. Leviatan, F. Iachello
We examine several types of symmetries which are relevant to quantum phase transitions in nuclei. These include: critical-point, quasidynamical, and partial dynamical symmetries.
Isospin-projected nuclear level densities by the shell model Monte Carlo method
H. Nakada, Y. Alhassid
We have developed an efficient isospin projection method in the shell model Monte Carlo approach for isospin-conserving Hamiltonians. For isoscalar observables this projection meth…
Complementary descriptions of shape/phase transitions in atomic nuclei
Dennis Bonatsos, E. A. McCutchan, N. V. Zamfir
Shape/phase transitions in atomic nuclei have first been discovered in the framework of the Interacting Boson Approximation (IBA) model. Critical point symmetries appropriate for n…
Exactly separable version of the Bohr Hamiltonian with the Davidson potential
Dennis Bonatsos, E. A. McCutchan, N. Minkov +5
An exactly separable version of the Bohr Hamiltonian is developed using a potential of the form u(beta)+u(gamma)/beta^2, with the Davidson potential u(beta)= beta^2 + beta_0^4/beta…
Unified description of 0+ states in a large class of nuclear collective models
Dennis Bonatsos, E. A. McCutchan, R. F. Casten
A remarkably simple regularity in the energies of 0+ states in a broad class of collective models is discussed. A single formula for all 0+ states in flat-bottomed infinite potenti…
Simple, empirical order parameter for a first order quantum phase transition in atomic nuclei
Dennis Bonatsos, E. A. McCutchan, R. F. Casten +1
A simple, empirical signature of a first order phase transition in atomic nuclei is presented, the ratio of the energy of the 6+ level of the ground state band to the energy of the…