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 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 First signs of collectivity in N = 86 and 88 isotones above 132Sn

2018 ◽  
Vol 193 ◽  
pp. 01005 ◽  
Author(s):  
Houda NAÏDJA ◽  
Frédéric NOWACKI
Keyword(s):  
Field Theory ◽  
Shell Model ◽  
Effective Field Theory ◽  
Effective Interaction ◽  
Effective Field ◽  
Model Framework

Within the shell-model framework the low-lying states energies, E2 and M1 transitions of chains of nuclei 52 ≤ Z ≤ 60 with 82 ≤ N ≤ 88 are investigated. We use the N3LOP effective interaction derived from Effective Field Theory Potentials and phenomenologically constrained. We noticed clear collective features in N = 86 and 88 isotones, with signature of triaxial γ-bands.

scholarly journals Lattice Dynamical Study of Platinum by Use of van der Waals Three Body Force Shell Model

2020 ◽  
Author(s):  
U C Srivastava
Keyword(s):  
Shell Model ◽  
Body Force ◽  
Present Model ◽  
Van Der Waals ◽  
Dynamical Study ◽  
Stiffness Constant ◽  
Phonon Spectra ◽  
Three Body ◽  
Rigid Shell ◽  
Fcc Structure

In present article author considered the lattice dynamical study of platinum by use of van der Waals three body force shell model [VTBFSM] due to high stiffness constant C11 and C12 . The present model uses with the frequencies of the optical and vibrational branches in the direction [100] and phonon density of states.The study of phonon spectra are important in determining the mechanica1, electrical and thermodynamical properties of elements and their alloys. The present model incorporates the effect of (VWI) and (TBI) into the rigid shell model with fcc structure, operative up to the second neighbors in short range interactions. The available measured data for platinum (Pt) well agrees with our results.

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