A compilation of nuclear matrix elements in the interacting boson model

2013 ◽  
Vol 237-238 ◽  
pp. 21-23 ◽  
Author(s):  
F. Iachello ◽  
J. Barea ◽  
J. Kotila
Keyword(s):  
Nuclear Matrix ◽  
Interacting Boson Model ◽  
Matrix Elements ◽  
Boson Model

QUANTUM PHASE TRANSITIONAL BEHAVIOR IN THE EXTENDED CASTEN TRIANGLE OF THE INTERACTING BOSON MODEL

2006 ◽  
Vol 15 (08) ◽  
pp. 1723-1733 ◽  
Author(s):  
FENG PAN ◽  
TAO WANG ◽  
Y.-S. HUO ◽  
J. P. DRAAYER
Keyword(s):  
Excited States ◽  
Quantum Phase ◽  
Interacting Boson Model ◽  
Matrix Elements ◽  
Fortran Code ◽  
Model Hamiltonian ◽  
Transitional Behavior ◽  
The Matrix ◽  
Boson Model ◽  
Shape Phase Transition

Quantum phase transitional patterns in the whole parameter space of the consistent-Q Hamiltonian in the Interacting Boson Model are studied based on an implemented Fortran code for numerical computation of the matrix elements in the SU (3) Draayer-Akiyama basis. Results with respect to both ground and some excited states of the model Hamiltonian are discussed. Quantum phase transitional behavior under a variety of parameter situations is shown. It is found that transitional behavior of excited states is more complicated. Pt isotopes are taken as examples in illustrating the prolate-oblate shape phase transition.

scholarly journals Proton Inelastic Scattering in the Interacting Boson Model: Formalism and Application to the Ge Isotopes

1984 ◽  
Vol 37 (5) ◽  
pp. 463 ◽  
Author(s):  
W Bauhoff ◽  
I Morrison
Keyword(s):  
Inelastic Scattering ◽  
Interacting Boson Model ◽  
Symmetric Model ◽  
Proton Scattering ◽  
Matrix Elements ◽  
Proton Inelastic Scattering ◽  
Inelastic Proton Scattering ◽  
Boson Model ◽  
Coupled Channel ◽  
Model Formalism

The application of the interacting boson model to the coupled channel description of inelastic proton scattering is studied. The radial shape of the transition potentials is determined by analogy to the usual geometrical models, whereas the reduced matrix elements are calculated from the boson Hamiltonian. The general formalism is applied to scattering from the Ge isotopes. We find a better description for the heavier isotopes in terms of an O(6)-symmetric model than for a vibrational model.

Calculation of neutrinoless double decay matrix elements in the Interacting Boson Model

2009 ◽  
Author(s):  
J. Barea ◽  
Osvaldo Civitarese ◽  
Ivan Stekl ◽  
Jouni Suhonen
Keyword(s):  
Interacting Boson Model ◽  
Matrix Elements ◽  
Boson Model

scholarly journals Comparison of Microscopic Interacting Boson Model and Quasiparticle Random Phase Approximation 0νββ Decay Nuclear Matrix Elements

2021 ◽  
Vol 8 ◽  
Author(s):  
Jenni Kotila
Keyword(s):  
Nuclear Matrix ◽  
Random Phase Approximation ◽  
Random Phase ◽  
Nuclear Matrix Element ◽  
Double Beta Decay ◽  
Beyond The Standard Model ◽  
Matrix Elements ◽  
Quasiparticle Random Phase Approximation ◽  
The Standard Model ◽  
Boson Model

The fundamental nature of the neutrino is presently a subject of great interest. A way to access the absolute mass scale and the fundamental nature of the neutrino is to utilize the atomic nuclei through their rare decays, the neutrinoless double beta (0νββ) decay in particular. The experimentally measurable observable is the half-life of the decay, which can be factorized to consist of phase space factor, axial vector coupling constant, nuclear matrix element, and function containing physics beyond the standard model. Thus reliable description of nuclear matrix element is of crucial importance in order to extract information governed by the function containing physics beyond the standard model, neutrino mass parameter in particular. Comparison of double beta decay nuclear matrix elements obtained using microscopic interacting boson model (IBM-2) and quasiparticle random phase approximation (QRPA) has revealed close correspondence, even though the assumptions in these two models are rather different. The origin of this compatibility is not yet clear, and thorough investigation of decomposed matrix elements in terms of different contributions arising from induced currents and the finite nucleon size is expected to contribute to more accurate values for the double beta decay nuclear matrix elements. Such comparison is performed using detailed calculations on both models and obtained results are then discussed together with recent experimental results.

Energy Levels and Electromagnetic Transition of 90-94mo Nuclei Using Ibm-1

2020 ◽  
pp. 149-152
Keyword(s):  
Experimental Data ◽  
Transition Probability ◽  
Energy Levels ◽  
Dynamical Symmetry ◽  
Interacting Boson Model ◽  
Excitation Energies ◽  
Electromagnetic Transition ◽  
Boson Model ◽  
Energy States ◽  
Good Agreement

The energy states for the J , b , ɤ bands and electromagnetic transitions B (E2) values for even – even molybdenum 90 – 94 Mo nuclei are calculated in the present work of "the interacting boson model (IBM-1)" . The parameters of the equation of IBM-1 Hamiltonian are determined which yield the best excellent suit the experimental energy states . The positive parity of energy states are obtained by using IBS1. for program for even 90 – 94 Mo isotopes with bosons number 5 , 4 and 5 respectively. The" reduced transition probability B(E2)" of these neuclei are calculated and compared with the experimental data . The ratio of the excitation energies of the 41+ to 21+ states ( R4/2) are also calculated . The calculated and experimental (R4/2) values showed that the 90 – 94 Mo nuclei have the vibrational dynamical symmetry U(5). Good agreement was found from comparison between the calculated energy states and electric quadruple probabilities B(E2) transition of the 90–94Mo isotopes with the experimental data .

scholarly journals Role of Single-Particle Energies in Microscopic Interacting Boson Model Double Beta Decay Calculations

Universe ◽  
2021 ◽  
Vol 7 (3) ◽  
pp. 66
Author(s):  
Jenni Kotila
Keyword(s):  
Beta Decay ◽  
Single Particle ◽  
Field Potential ◽  
Double Beta Decay ◽  
Interacting Boson Model ◽  
Model Calculations ◽  
Single Particle Level ◽  
Particle Level ◽  
Boson Model

Single-particle level energies form a significant input in nuclear physics calculations where single-particle degrees of freedom are taken into account, including microscopic interacting boson model investigations. The single-particle energies may be treated as input parameters that are fitted to reach an optimal fit to the data. Alternatively, they can be calculated using a mean field potential, or they can be extracted from available experimental data, as is done in the current study. The role of single-particle level energies in the microscopic interacting boson model calculations is discussed with special emphasis on recent double beta decay calculations.

Sign in / Sign up

Export Citation Format

Share Document