71 citations · 477 across the 23 of their papers we have counts for
16 papers · 1 filter
Algebraic Gorkov solution in finite systems for the separable pairing interaction
R. M. Id Betan, C. E. Repetto
An algebraic Quantum Field Theory formulation of separable pairing interaction for spherical finite systems is presented. The Lipkin formulation of the model Hamiltonian and model…
Comparison between the Lipkin-Nogami and Richardson solutions with complex single particle energy in the Lipkin's model
R. M. Id Betan
The pairing interaction is one of the most important contribution of the residual interaction and then, it is of major importance for the study of many-body systems. One can get so…
Quantified Gamow Shell Model interaction for -shell nuclei
Y. Jaganathen, R. M. Id Betan, N. Michel +2
The structure of weakly bound and unbound nuclei close to particle drip lines is one of the major science drivers of nuclear physics. A comprehensive understanding of these systems…
Pairing in the BCS and LN approximations using continuum single particle level density
R. M. Id Betan, C. E. Repetto
Understanding the properties of drip line nuclei requires to take into account the correlations with the continuum spectrum of energy of the system. This paper has the purpose to s…
Cooper pairs in the Borromean nuclei He and Li using continuum single particle level density
R. M. Id Betan
A Borromean nucleus is a bound three-body system which is pairwise unbound because none of the two-body subsystem interactions are strong enough to bind them in pairs. As a consequ…
Gamow shell model description of radiative capture reactions LiBe and LiLi
G. X. Dong, N. Michel, K. Fossez +3
According to standard stellar evolution, lithium abundance is believed to be a useful indicator of the stellar age. However, many evolved stars like red giants show huge fluctuatio…
Shadow poles in a coupled-channel problem calculated with Berggren basis
R. M. Id Betan, A. T. Kruppa, T. Vertse
In coupled-channel models the poles of the scattering S-matrix are located on different Riemann sheets. Physical observables are affected mainly by poles closest to the physical re…
Strictly finite-range potential for light and heavy nuclei
P. Salamon, R. G. Lovas, R. M. Id Betan +2
Strictly finite-range (SFR) potentials are exactly zero beyond their finite range. Single-particle energies and densities as well as S-matrix pole trajectories are studied in a few…
Alpha Decay in the Complex Energy Shell Model
R. Id Betan, W. Nazarewicz
Alpha emission from a nucleus is a fundamental decay process in which the alpha particle formed inside the nucleus tunnels out through the potential barrier. We describe alpha deca…
Exact Eigenvalues of the Pairing Hamiltonian Using Continuum Level Density
R. Id Betan
The pairing Hamiltonian constitutes an important approximation in many- body systems, it is exactly soluble and quantum integrable. On the other hand, the continuum single particle…
Using Continuum Level Density in the Pairing Hamiltonian: BCS and Exact Solutions
Rodolfo Id Betan
Pairing plays a central role in nuclear systems. The simplest model for the pairing is the constant-pairing Hamiltonian. The aim of the present paper is to include the continuum si…
Complex energy approaches for calculating isobaric analogue states
R. Id Betan, A. T. Kruppa, T. Vertse
Two methods the complex energy shell model (CXSM) and the complex scaling (CS) approach were used for calculating isobaric analog resonances (IAR) in the Lane model. The IAR parame…
A Complex Shell Model Representation Including Antibound States
R. Id Betan, R. J. Liotta, N. Sandulescu +2
A generalization of the Complex Shell Model formalism is presented which includes antibound states in the basis. These states, together with bound states, Gamow states, and the con…
Quasiparticle Resonances in the BCS Approach
R. Id Betan, N. Sandulescu, T. Vertse
We present a simple method for calculating the energies and the widths of quasiparticle resonant states. The method is based on BCS equations solved in the Berggren representation.…
Antibound and Resonant States in Halo Nuclei
R. Id. Betan, R. J. Liotta, N. Sandulescu +1
An unified shell model scheme to evaluate simultaneously the contribution of antibound states and Gamow resonances to the nuclear halos is presented. The calculations, performed in…
Shell model in the complex energy plane and two-particle resonances
R. Id Betan, R. J. Liotta, N. Sandulescu +1
An implementation of the shell-model to the complex energy plane is presented. The representation used in the method consists of bound single-particle states, Gamow resonances and…