scholarly journals Relativistic Dirac analyses of polarized proton scatterings to the 2+ gamma vibrational band in 24Mg and 26Mg

2017 ◽  
Vol 95 (4) ◽  
pp. 317-321 ◽  
Author(s):  
Sugie Shim
Keyword(s):  
Excited States ◽  
Optical Potential ◽  
Vibrational Band ◽  
Collective Models ◽  
Channel Calculation ◽  
Vector Potentials ◽  
Deformation Parameters ◽  
Polarized Proton ◽  
Coupled Channel ◽  
Gamma Vibrational Band

Relativistic Dirac analyses are performed phenomenologically for the high-lying excited states that belong to the 2+ gamma vibrational band at the 800 MeV polarized proton inelastic scatterings from the s-d shell nuclei, 24Mg and 26Mg. Optical potential model is used and scalar and time-like vector potentials are considered as direct potentials. First-order vibrational collective models are used to obtain the transition optical potentials to accommodate the high-lying excited vibrational collective states. The complicated Dirac coupled channel equations are solved phenomenologically to reproduce the differential cross section and analyzing power data by varying the optical potential and deformation parameters. It is found that the relativistic Dirac coupled channel calculation could describe the high-lying excited states of the 2+ gamma vibrational band at the 800 MeV polarized proton inelastic scatterings from s-d shell nuclei 24Mg and 26Mg reasonably well, showing mostly better agreement with the experimental data compared to the results obtained from the nonrelativistic calculations. Calculated deformation parameters for the excited states are analyzed and compared with those of nonrelativistic calculations.

Investigation of the elastic and inelastic scattering of 3He from 9Be in the energy range 30–60MeV

2018 ◽  
Vol 27 (10) ◽  
pp. 1850089 ◽  
Author(s):  
D. M. Janseitov ◽  
S. M. Lukyanov ◽  
K. Mendibayev ◽  
Yu. E. Penionzhkevich ◽  
N. K. Skobelev ◽  
...  
Keyword(s):  
Excited State ◽  
Elastic Scattering ◽  
Inelastic Scattering ◽  
Excited States ◽  
Cross Sections ◽  
Optical Model ◽  
Theoretical Calculations ◽  
Deformation Parameters ◽  
Double Folding ◽  
Coupled Channel

We have measured the differential cross-sections for the elastic as well as inelastic scattering populating the 2.43[Formula: see text]MeV [Formula: see text] excited state in [Formula: see text] using [Formula: see text] beams at energies of 30, 40 and 47[Formula: see text]MeV on a [Formula: see text] target. The experimental results for the elastic scattering were analyzed within the framework of the optical model using the Woods–Saxon and double-folding potentials. The theoretical calculations for the concerned excited states were performed using the coupled-channel method. The optimal deformation parameters for the excited states of [Formula: see text] nucleus were extracted.

Dirac phenomenological analyses for the proton scatterings from nickel isotopes

2018 ◽  
Vol 96 (12) ◽  
pp. 1304-1308 ◽  
Author(s):  
Sugie Shim
Keyword(s):  
Experimental Data ◽  
Excited States ◽  
Rotational Band ◽  
Ground State ◽  
Optical Potential ◽  
Intermediate Energy ◽  
Channel Coupling ◽  
Optical Potentials ◽  
Nickel Isotopes ◽  
Coupled Channel

Relativistic Dirac coupled channel analyses are performed phenomenologically using an optical potential model for the intermediate energy proton inelastic scatterings from nickel isotopes, 58Ni and 60Ni. The first-order rotational collective model is used for the transition optical potentials to describe the low-lying excited collective states of the ground state rotational band. The complicated Dirac coupled channel equations are solved phenomenologically by varying the optical potential and the deformation parameters to reproduce the experimental data, using a computer program that uses a sequential iteration method. The channel-coupling effects of the multistep transition process for the excited states of the ground state rotational band are found to be strong and lead the calculation results to better agreement with the experimental data when the channel coupling between the excited states is added in the calculation. The Dirac equations are reduced to the second-order differential equations to obtain the Schrödinger equivalent effective central and spin–orbit optical potentials, and the obtained effective potentials are analyzed.

scholarly journals Experimental study of lifetimes of excited states in the Kπ = 0− octupole band and γ-vibrational band in 228Th

2020 ◽  
Vol 1643 ◽  
pp. 012122
Author(s):  
M.M.R. Chishti ◽  
D. O’Donnell ◽  
G. Battaglia ◽  
M. Bowry ◽  
D.A. Jaroszynski ◽  
...  
Keyword(s):  
Experimental Study ◽  
Excited States ◽  
Vibrational Band

scholarly journals The refractive scattering of 17F+12C

2020 ◽  
Vol 239 ◽  
pp. 03010
Author(s):  
Liyuan Hu ◽  
Yushou Song ◽  
Yingwei Hou ◽  
Huilan Liu
Keyword(s):  
Experimental Data ◽  
Angular Distribution ◽  
Elastic Scattering ◽  
Optical Potential ◽  
Optical Model ◽  
Channel Calculation ◽  
Coupled Channels ◽  
The One ◽  
Nuclear Rainbow ◽  
The Continuum

The experimental data of the elastic scattering angular distribution of 17F+12C at 170 MeV is analyzed by the continuum-discretized coupled channels (CDCC) method and the optical model (OM). In the CDCC calculation, the unambiguous optical potential of 16O+12C is used as the input to give the coupling potentials. A very refractive feature is found and two evident Airy minima are predicted at large angles. The one-channel calculation is also performed and gives nearly the same result. In the OM calculations, this optical potential of 16O+12C is used again and adjusted to reproduce the angular distribution of 17F+12C. The Airy oscillation appears again in the calculated angular distribution. These results indicate that the elastic scattering of 17F+12C at 170 MeV has the possibility of the nuclear rainbow phenomenon, which is probably due to the contribution from the 16O core.

scholarly journals Large-amplitude quadrupole shape mixing probed by the $(p,p^\prime)$ reaction: A model analysis

2019 ◽  
Vol 2019 (10) ◽  
Author(s):  
Koichi Sato ◽  
Takenori Furumoto ◽  
Yuma Kikuchi ◽  
Kazuyuki Ogata ◽  
Yukinori Sakuragi
Keyword(s):  
Cross Sections ◽  
Large Amplitude ◽  
Model Parameters ◽  
Channel Calculation ◽  
Prolate Shape ◽  
Coupled Channel Calculation ◽  
Transition Densities ◽  
A Chain ◽  
Coupled Channel ◽  
Shape Phase Transition

Abstract To discuss a possible observation of large-amplitude nuclear shape mixing by nuclear reaction, we employ a simple collective model and evaluate the transition densities with which the differential cross sections are obtained through the microscopic coupled-channel calculation. Assuming the spherical-to-prolate shape transition, we focus on large-amplitude shape mixing associated with the softness of the collective potential in the $\beta$ direction. We introduce a simple model based on the five-dimensional quadrupole collective Hamiltonian, which simulates a chain of isotopes that exhibit spherical-to-prolate shape phase transition. Taking $^{154}$Sm as an example and controlling the model parameters, we study how the large-amplitude shape mixing affects the elastic and inelastic proton scatterings. The calculated results suggest that the inelastic cross section of the $2_2^+$ state shows us the important role of the quadrupole shape mixing.

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