Piotr Magierski

Shell structure of the superheavy elements

Abstract Ground-state properties of the superheavy elements (SHE) with 108 ⩽ Z ⩽ 128 and 150 ⩽ N ⩽ 192 are investigated using both the Skyrem-Hartree-Fock method with a density-independent contact pairing interaction and the macroscopic-microscopic approach with an average Woods-Saxon potential and a monopole pairing interaction. Detailed analysis of binding energies, separation energies, shell effects, single-proton and neutron states, equilibrium deformations, Qα-values, and other observables is given.

Spin 1/2 Fermions in the Unitary Regime: A Superfluid of a New Type

We study, in a fully nonperturbative calculation, a dilute system of spin 1/2 interacting fermions, characterized by an infinite scattering length at finite temperatures. Various thermodynamic properties and the condensate fraction are calculated and we also determine the critical temperature for the superfluid-normal phase transition in this regime. The thermodynamic behavior appears as a rather surprising and unexpected mélange of fermionic and bosonic features. The thermal response of a spin 1/2 fermion at the BCS-BEC crossover should be classified as that of a new type of superfluid.

Scalar Casimir effect between Dirichlet spheres or a plate and a sphere

We present a simple formalism for the evaluation of the Casimir energy for two spheres and a sphere and a plane, in case of a scalar fluctuating field, valid at any separations. We compare the exact results with various approximation schemes and establish when such schemes become useful. The formalism can be easily extended to any number of spheres and/or planes in three or arbitrary dimensions, with a variety of boundary conditions or nonoverlapping potentials/nonideal reflectors.

The Lipkin-Nogami formalism for the cranked mean field

Abstract Pairing-deformation self-consistent total routhian surface type calculations are presented. The total routhian is calculated using the Strutinsky shell-correction method on a lattice in deformation space. At each grid point and each rotational frequency we calculate the pairing energy self-consistently by means of the Lipkin-Nogami theory. The accuracy of the Lipkin-Nogami approach is tested by comparison with particle-number projected calculations at fix deformation. Finally, examples of lattice calculations for the yrast superdeformed bands in 144Gd, 152Dy and 194Hg are shown.

Quantum Monte Carlo simulations of the BCS-BEC crossover at finite temperature

The quantum Monte Carlo method for spin-

Odd-even staggering of binding energies as a consequence of pairing and mean-field effects

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Finite-Temperature Pairing Gap of a Unitary Fermi Gas by Quantum Monte Carlo Calculations

fermions at finite temperature is formulated for dilute systems with an

Isovector Giant Dipole Resonance from the 3D Time-Dependent Density Functional Theory for Superfluid Nuclei

s

Structure of the inner crust of neutron stars: Crystal lattice or disordered phase?

-wave interaction. The motivation and the formalism are discussed along with descriptions of the algorithm and various numerical issues. We report on results for the energy, entropy, and chemical potential as a function of temperature. We give upper bounds on the critical temperature

Induced Fission of

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