scholarly journals Ab initio no-core shell model study of neutron-rich nitrogen isotopes

2019 ◽  
Vol 2019 (7) ◽  
Author(s):  
Archana Saxena ◽  
Praveen C Srivastava
Keyword(s):  
Shell Model ◽  
Nitrogen Isotopes ◽  
Model Space ◽  
Effective Field ◽  
Core Shell ◽  
Chiral Effective Field Theory ◽  
Model Calculations ◽  
Local Character ◽  
Non Local ◽  
Three Body

Abstract We have calculated the energy spectra for neutron-rich $^{18-22}$N isotopes using the no-core shell model. To calculate the energy spectrum we have used three different $NN$ potentials: inside non-local outside Yukawa (INOY), next-to-next-to-next-leading order (N3LO) from chiral effective field theory, and charge-dependent Bonn 2000 (CDB2K). The INOY potential is a two-body interaction but also has the effect of three-body forces at short range and a non-local character present in it. The calculations have been done at $\hbar\Omega=20$ MeV, 14 MeV, and 12 MeV using INOY, N3LO, and CDB2K potentials, respectively. We have also performed shell model calculations with the YSOX interaction. The results with the INOY interaction show good agreement with the experimental data in comparison to the other three interactions. We have also shown the occupancy of different orbitals involved corresponding to the largest model space ($N_{\rm max} = 4$) in the calculations.

scholarly journals Ab initio no-core shell model calculations using realistic two- and three-body interactions

2005 ◽  
Vol 25 (S1) ◽  
pp. 481-484 ◽  
Author(s):  
P. Navrátil ◽  
W. E. Ormand ◽  
C. Forssén ◽  
E. Caurier
Keyword(s):  
Ab Initio ◽  
Shell Model ◽  
Core Shell ◽  
Model Calculations ◽  
Three Body

scholarly journals Chiral three-body force and monopole properties of shell-model Hamiltonian

2019 ◽  
Vol 223 ◽  
pp. 01018
Author(s):  
Tokuro Fukui ◽  
Luigi Coraggio ◽  
Luca De Angelis ◽  
Angela Gargano ◽  
Nunzio Itaco ◽  
...  
Keyword(s):  
Shell Model ◽  
Body Force ◽  
Effective Field ◽  
Harmonic Oscillator Basis ◽  
Chiral Effective Field Theory ◽  
Model Framework ◽  
Theoretical Approaches ◽  
Oscillator Basis ◽  
Model Hamiltonian ◽  
Three Body

So far, the nature of three-nucleon forces (3NFs) derived by the chiral effective field theory has been intensively investigated by various theoretical approaches. In this work, to address the chiral 3NF within the shell-model framework, three-body matrix elements are formulated in terms of the harmonic oscillator basis functions, by adopting the nonlocal regulator. We perform a benchmark test for p-shell nuclei inorder to confirm our framework. Then we show that the contribution of the 3NF to the monopole component of the effective shell model Hamiltonian plays an essential role to account for the shell evolution of f p-shell nuclei.

scholarly journals AbinitioNo-core Shell Model Calculations in a SU(3)-based Coupling Scheme

2012 ◽  
Vol 387 ◽  
pp. 012016
Author(s):  
T Dytrych ◽  
K D Launey ◽  
J P Draayer ◽  
D Langr
Keyword(s):  
Shell Model ◽  
Coupling Scheme ◽  
Core Shell ◽  
Model Calculations

scholarly journals Large Scale Shell Model Calculations of the Negative-Parity States Structure in 24Mg Nucleus

2021 ◽  
Vol 66 (4) ◽  
pp. 293
Author(s):  
A.A. Al-Sammarraie ◽  
F.A. Ahmed ◽  
A.A. Okhunov
Keyword(s):  
Shell Model ◽  
Large Scale ◽  
Transition Probabilities ◽  
Transition Probability ◽  
Energy Levels ◽  
Form Factors ◽  
Model Space ◽  
Negative Parity ◽  
Matrix Elements ◽  
Model Calculations

The negative-parity states of 24Mg nucleus are investigated within the shell model. We are based on the calculations of energy levels, total squared form factors, and transition probability using the p-sd-pf (PSDPF) Hamiltonian in a large model space (0 + 1) hW. The comparison between the experimental and theoretical states showed a good agreement within a truncated model space. The PSDPF-based calculations successfully reproduced the data on the total squared form factors and transition probabilities of the negative-parity states in 24Mg nucleus. These quantities depend on the one-body density matrix elements that are obtained from the PSDPF Hamiltonian. The wave functions of radial one-particle matrix elements calculated with the harmonic-oscillator potential are suitable to predict experimental data by changing the center-of-mass corrections.

scholarly journals Study of the Electric Quadrupole Moments for some Scandium Isotopes Using Shell Model Calculations with Different Interactions

2018 ◽  
Vol 15 (3) ◽  
pp. 304-309
Author(s):  
Baghdad Science Journal
Keyword(s):  
Shell Model ◽  
Theoretical Calculations ◽  
Microscopic Theory ◽  
Model Space ◽  
Electric Quadrupole ◽  
Quadrupole Moments ◽  
Core Polarization ◽  
Model Calculations ◽  
Major Shell ◽  
Experimental Values

The electric quadrupole moments for some scandium isotopes (41, 43, 44, 45, 46, 47Sc) have been calculated using the shell model in the proton-neutron formalism. Excitations out of major shell model space were taken into account through a microscopic theory which is called core polarization effectives. The set of effective charges adopted in the theoretical calculations emerging about the core polarization effect. NushellX@MSU code was used to calculate one body density matrix (OBDM). The simple harmonic oscillator potential has been used to generate the single particle matrix elements. Our theoretical calculations for the quadrupole moments used the two types of effective interactions to obtain the best interaction compared with the experimental data. The theoretical results of the quadrupole moments for some scandium isotopes performed with FPD6 interaction and Bohr-Mottelson effective charge agree with experimental values.

scholarly journals Shell-model calculations for upper pf-shell nuclei with an effective interaction

2018 ◽  
Vol 194 ◽  
pp. 01006
Author(s):  
Kalin Drumev
Keyword(s):  
Shell Model ◽  
Effective Interaction ◽  
Model Space ◽  
Model Calculations ◽  
Energy Eigenstates ◽  
Mixed Symmetry ◽  
Symmetry Approach ◽  
Oscillator Shell ◽  
Single Oscillator ◽  
Pf Shell

Results obtained for the energy spectra and the low-lying positive-parity energy eigenstates of the upper p f -shell nuclei 64Ge and 68Se with the use of the effective interaction JUN45 are reported. We address the question of how appropriate is the possibility to construct a symmetry-adapted shell model in a single oscillator shell using a Pairing-plus-Quadrupole Hamiltonian. Specifically, we study the goodness of the symmetries pseudo SU(3) and O(6) in the structure of the energy eigenstates. Finally, we relate our results to a proposed mixed-symmetry approach which is able to simultaneously account for the presence of both the pairing and the quadrupole modes as the most important ingredients in the effective interaction while using a restricted part of the full model space.

scholarly journals No-core shell model calculations of the photonuclear cross section of 10B

2019 ◽  
Vol 55 (12) ◽  
Author(s):  
M. K. G. Kruse ◽  
W. E. Ormand ◽  
C. W. Johnson
Keyword(s):  
Shell Model ◽  
Cross Section ◽  
Core Shell ◽  
Model Calculations
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