scholarly journals Modification of tensor force in 0p-shell model effective interaction

2020 ◽  
Vol 29 (09) ◽  
pp. 2050069
Author(s):  
Kanhaiya Jha ◽  
Pawan Kumar ◽  
Shahariar Sarkar ◽  
P. K. Raina
Keyword(s):  
Shell Model ◽  
Single Particle ◽  
Effective Interaction ◽  
Tensor Force ◽  
Experimental Results ◽  
Matrix Elements ◽  
Excitation Spectra ◽  
Electromagnetic Moments ◽  
Gamow Teller ◽  
Normal Parity

In many shell model interactions, the tensor force monopole matrix elements often retain systematic trends originating in the bare tensor force. However, in this work, we find that Isospin [Formula: see text] tensor force monopole matrix elements of widely used p-shell effective interaction CK(8–16) do not share these systematic. We correct these discrepancies by modifying [Formula: see text] tensor force two-body matrix elements (TBMEs) of CK(8–16) by the analytically calculated tensor force TBMEs. With some additional modification of single-particle energies and TBMEs, the revised effective interaction is named as CKN. The effective interaction CKN has been tested for the calculations of p-shell nuclei of normal parity states from various physics viewpoints such as excitation spectra, electromagnetic moments, and electromagnetic and Gamow–Teller (GT) transitions. The obtained results are found to be satisfactory with respect to the experimental results.

EXOTIC ELECTROMAGNETIC TRANSITIONS IN NEUTRON-RICH CARBON ISOTOPES

2009 ◽  
Vol 18 (10) ◽  
pp. 1992-1996 ◽  
Author(s):  
TOSHIO SUZUKI ◽  
TAKAHARU OTSUKA
Keyword(s):  
Shell Model ◽  
Carbon Isotopes ◽  
Magnetic Dipole ◽  
Tensor Force ◽  
Electromagnetic Properties ◽  
Matrix Elements ◽  
Electromagnetic Transitions ◽  
Model Calculations ◽  
Shell Matrix ◽  
Model Hamiltonian

Structure and electromagnetic properties of exotic neutron-rich carbon isotopes are studied by shell model calculations. A p-sd shell model Hamiltonian is modified by enhancing the effects of the tensor force in the p-sd cross shell matrix elements as well as with corrections in the T=1 monopole terms. A considerable suppression of the magnetic dipole (M1) transition in 17 C from the [Formula: see text] state recently observed is found to be well explained by the modified Hamiltonian. The anomalous hindrance of the quadrupole (E2) transitions in 16 C and 18 C is also shown to be reproduced by our new Hamiltonian.

scholarly journals Shell model and Hartree-Fock calculations of electron scattering form factors for 25Mg nucleus

2019 ◽  
Vol 14 (31) ◽  
pp. 28-36
Author(s):  
Ali A. Alzubadi
Keyword(s):  
Shell Model ◽  
Electron Scattering ◽  
Single Particle ◽  
Effective Interaction ◽  
Form Factors ◽  
Model Space ◽  
Inelastic Electron ◽  
Hartree Fock ◽  
Particle Potential ◽  
Single Particle Potential

Shell model and Hartree-Fock calculations have been adopted to study the elastic and inelastic electron scattering form factors for 25Mg nucleus. The wave functions for this nucleus have been utilized from the shell model using USDA two-body effective interaction for this nucleus with the sd shell model space. On the other hand, the SkXcsb Skyrme parameterization has been used within the Hartree-Fock method to get the single-particle potential which is used to calculate the single-particle matrix elements. The calculated form factors have been compared with available experimental data.

scholarly journals Shell model calculations in the A=80-100 mass region and study of double β transitions

2020 ◽  
Vol 1 ◽  
pp. 156
Author(s):  
J. Sinatkas ◽  
L. D. Skouras ◽  
D. Strottman ◽  
J. D. Vergados
Keyword(s):  
Shell Model ◽  
Satisfactory Agreement ◽  
Effective Interaction ◽  
Model Space ◽  
Mass Region ◽  
Least Square ◽  
Matrix Elements ◽  
Model Calculations ◽  
Least Square Fit ◽  
The One

The structure of the Ζ,Ν < 50 nuclei is examined in a model space consisting of the 0g9/2, 1p1/2, 1p3/2 and the 0f5/2 hole orbitals outside the doubly closed 100Sn core. The effective interaction for this model space is derived by introducing second order corrections to the Sussex matrix elements, while the one-hole energies are deduced by a least square fit to the observed levels. The results of the calculation are found to be in very satisfactory agreement with experiment for all nuclei with 38<Ζ<46 but for Ζ<38 this agreement begins to deteriorate. Such a feature possibly indicates the appearance of deformation and the breaking of the Ν=50 core. The wavefunctions of the calculation are used to determine double β matrix elements in the Ge, Se, Sr and Kr isotopes.

Brueckner Self-Consistent Study of 16O and 40Ca Using Phase-Shift Determined Potentials

1973 ◽  
Vol 51 (2) ◽  
pp. 115-120 ◽  
Author(s):  
R. J. W. Hodgson ◽  
Tran Duc Hoang
Keyword(s):  
Binding Energy ◽  
Phase Shift ◽  
Harmonic Oscillator ◽  
Single Particle ◽  
Effective Interaction ◽  
Scattering Data ◽  
Matrix Elements ◽  
High Energies ◽  
Self Consistent

A self-consistent Brueckner calculation of the binding energy and single-particle energies of 16O and 40Ca is carried out employing an effective interaction which is determined directly from the two-body scattering data. The interaction is described by its harmonic-oscillator matrix elements. It is found that the results are quite sensitive to the form of the phase shift at high energies.

scholarly journals NUCLEAR STRUCTURE STUDY WITH CORE EXCITATIONS IN Ni REGION: FOR fpg9/2 SPACE

2012 ◽  
Vol 27 (13) ◽  
pp. 1250061 ◽  
Author(s):  
P. C. SRIVASTAVA
Keyword(s):  
Shell Model ◽  
Nuclear Structure ◽  
Structure Study ◽  
Experimental Results ◽  
Matrix Elements ◽  
Model Calculations ◽  
Nuclear Structure Study ◽  
Core Excitations ◽  
Cu And Zn ◽  
Zn Isotopes

Shell model calculations for Ni, Cu and Zn isotopes by modifying fpg interaction due to Sorlin et al. [Phys. Rev. Lett. 88, 092501 (2002)] have been reported. In the present work, 28 two-body matrix elements of the earlier interaction have been modified. Present interaction is able to explain new experimental results for this region.

STUDY OF THE TENSOR CORRELATION IN THE MEAN-FIELD-TYPE MODEL AND THE SHELL MODEL

2006 ◽  
Vol 21 (31n33) ◽  
pp. 2475-2482
Author(s):  
SATORU SUGIMOTO
Keyword(s):  
Shell Model ◽  
Single Particle ◽  
Mean Field ◽  
Tensor Force ◽  
Closed Shell ◽  
Wave Functions ◽  
Type Model ◽  
Tensor Correlation ◽  
Field Type ◽  
The Mean

We study the effect of the tensor correlation using a mean-field-type model and a shell model. To treat the tensor correlation in a mean-field-type model, we introduce single-particle states with the parity and charge mixing considering the pseudoscalar and isovector characters of the pion, which mediates the tensor force. We study closed-shell and sub-closed-shell oxygen isotopes and find that a sizable attractive energy from the tensor force is obtained by introducing the parity and charge mixing. We also perform a shell model calculation up to two-particle–two-hole configurations. A large attraction energy is obtained for 16 O when we introduce single-particle wave functions with narrow widths.

Corrections to the single-particle M1 and Gamow-Teller matrix elements

1983 ◽  
Vol 399 (2) ◽  
pp. 334-364 ◽  
Author(s):  
I.S. Towner ◽  
F.C. Khanna
Keyword(s):  
Single Particle ◽  
Matrix Elements ◽  
Gamow Teller

Analytical Derivations of Single-Particle Matrix Elements in Nuclear Shell Model

2016 ◽  
Vol 66 (1) ◽  
pp. 104-114
Author(s):  
Aziz H. Fatah ◽  
R.A. Radhi ◽  
Nzar R. Abdullah
Keyword(s):  
Shell Model ◽  
Single Particle ◽  
Nuclear Shell Model ◽  
Matrix Elements ◽  
Nuclear Shell

scholarly journals Delayed Alpha Spectra from the Beta Decay of 8Li and 8B

1989 ◽  
Vol 42 (1) ◽  
pp. 25 ◽  
Author(s):  
FC Barker
Keyword(s):  
Phase Shift ◽  
Shell Model ◽  
Satisfactory Agreement ◽  
Beta Decay ◽  
Matrix Elements ◽  
R Matrix ◽  
Intruder State ◽  
Parameter Values ◽  
Gamow Teller ◽  
D Wave

Many-level R-matrix fits are made to the ()(-()( scattering d-wave phase shift and to ()(-spectra from BLi and BB ,8-decay measured by Wilkinson and Alburger (1971). With the requirement that the parameter values are the same in the fits to the phase shift and the ()(-spectra data, the best overall fits are obtained for a channel radius of about 6�5 fm, implying a broad 2+ intruder state of BBe at about 9 MeV. There is satisfactory agreement between the Gamow-Teller matrix elements extracted from the fits and shell model values.

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