# $\delta$-pairing forces and collective pairing vibrations

@article{Sieja2003deltapairingFA,
title={\$\delta\$-pairing forces and collective pairing vibrations},
author={K. Sieja and Andrzej Baran and Krzysztof Pomorski},
journal={The European Physical Journal A - Hadrons and Nuclei},
year={2003},
volume={20},
pages={413-418}
}
• Published 4 November 2003
• Physics
• The European Physical Journal A - Hadrons and Nuclei
Abstract.The collective pairing Hamiltonian is obtained in the framework of the generator coordinate method in the Gaussian overlap approximation with a slightly modified BCS function used as a generator function. The collective variable $\alpha$, measuring the monopole moment of the pairing field, and the gauge transformation angle $\phi$ are chosen as generator coordinates. The vibrational ground states are calculated by diagonalisation of the collective pairing Hamiltonian in the harmonic…
6 Citations
Large-scale self-consistent nuclear mass calculations
• Physics
• 2006
Abstract The program of systematic large-scale self-consistent nuclear mass calculations that is based on the nuclear density functional theory represents a rich scientific agenda that is closely
Problems in contemporary nuclear physics
• Engineering
• 2011
Last decade research topics of the Nuclear Theory Group of the M..C.S. University in Lublin are presented in this article. The achivements of the group and its further plans are confronted with
The deposition of titanium dioxide nanoparticles by means of a hollow cathode plasma jet in dc regime
• Chemistry
• 2015
TiO nanoparticles are being investigated in this work. Nanoparticles were obtained in Ar plasma on monocrystaline Si(111) substrate by means of a gas-phase deposition using a low pressure hollow

## References

SHOWING 1-10 OF 13 REFERENCES
Collective pairing Hamiltonian in the GCM approximation
• Physics
• 1985
Abstract Using the generator coordinate method and the gaussian overlap approximation we derived the collective Schrodinger-type equation starting from a microscopic single-particle plus pairing
Influence of the pairing vibrations on spontaneous fission probability
• Physics
• 1989
Abstract The potential-energy surface and the mass parameters of the even-even transplutonium elements are evaluated. Our microscopic hamiltonian consists of the Nilsson potential, the two-body
THE MASS PARAMETERS FOR THE AVERAGE MEAN-FIELD POTENTIAL+
• Physics
• 1985
Starting from a mean-field hamiltonian with pairing interaction, we use the generator coordi- nate method (GCM) and a generalized gaussian overlap approximation to derive a multidimensional
Collective treatment of the pairing Hamiltonian: (I). Formulation of the model
• Physics
• 1970
Abstract We develop a treatment of the pairing force problem in terms of two collective variables: the intrinsic deformation α and the gauge angle φ. The comparison between the results obtained
Restoring of broken symmetries in the generator-coordinate method
• Physics
• 1986
Abstract Corrections to the potential and kinetic part of the collective hamiltonian due to particle-number projection have been derived within the generator-coordinate plus generalized
Collective quadrupole excitations in the 50 < Z, N < 82 nuclei with the general Bohr Hamiltonian
• Physics
• 1998
Abstract The general Bohr Hamiltonian is applied to a description of low-lying collective excitations in even-even isotopes of Te, Xe, Ba, Ce, Nd and Sm. The collective potential and inertial
An improved pairing interaction for mean field calculations using skyrme potentials
• Physics
• 1990
Abstract A zero-range interaction is proposed to calculate nuclear pairing at the Fermi surface. The results of Skyrme calculations using the zero range pairing interaction are compared with those
The low-lying quadrupole collective excitations of Ru and Pd isotopes
• Physics
• 1999
Abstract Quadrupole excitations of even-even Ru and Pd isotopes are described within a microscopic approach based on the general collective Bohr model which includes the effect of coupling with the
Relativistic continuum Hartree-Bogoliubov theory with both zero range and finite range Gogny force and their application
Abstract The formalism for Relativistic Continuum Hartree-Bogolyubov (RCHB) theory, which is the extension of the Relativistic Mean Field (RMF) and the Bogoliubov transformation in the coordinate
On the nuclear structure and stability of heavy and superheavy elements
Abstract Nuclear potential energy surfaces as a function of deformations are calculated on the basis of a modified oscillator model. In particular, quadrupole ( P 2 ) and hexadecapole ( P 4 )