Comparison of the coupled-channel calculation with the WKB method for α-decay fine structure

2013 ◽  
Author(s):  
Dongdong Ni ◽  
Zhongzhou Ren
Keyword(s):  
Fine Structure ◽  
Wkb Method ◽  
Channel Calculation ◽  
Α Decay ◽  
Coupled Channel Calculation ◽  
Coupled Channel

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.

Electromagnetic breakup of the deuteron in the Δ resonance region

1984 ◽  
Vol 62 (11) ◽  
pp. 1036-1045 ◽  
Author(s):  
W. Leidemann ◽  
H. Arenhövel
Keyword(s):  
Cross Section ◽  
Degrees Of Freedom ◽  
Impulse Approximation ◽  
Resonance Region ◽  
Final State ◽  
Channel Calculation ◽  
Main Emphasis ◽  
Coupled Channel Calculation ◽  
Final State Interactions ◽  
Coupled Channel

The processes d(γ, p)n and d(e, e′p)n have been studied in the Δ resonance region with explicit Δ degrees of freedom in a coupled channel treatment that includes all final state interactions. In particular, the dependence on the model for the potential and the Δ parametrization has been investigated. The main emphasis has been put on the photodisintegration. The total cross section for this process is considerably reduced by inclusion of the Δ interactions, resulting in better agreement with a recent experiment. The angular distribution up to the resonance region shows a stronger forward and backward peaking than experimental results do, while above the resonance the agreement is better. Whereas the γ asymmetry is affected very little by the coupled channel calculation compared with the impulse approximation, the proton polarization is quite sensitive to the proper treatment of the Δ degrees of freedom.

scholarly journals Microscopic coupled-channel calculation of proton and alpha inelastic scattering to the 41+ and 42+ states of 24Mg

2021 ◽  
Author(s):  
Yoshiko Kanada-En'yo ◽  
Kazuyuki Ogata
Keyword(s):  
Inelastic Scattering ◽  
Cross Sections ◽  
Angular Distributions ◽  
Channel Calculation ◽  
Triaxial Deformation ◽  
Step Process ◽  
Coupled Channel Calculation ◽  
One Step ◽  
Coupled Channel ◽  
Α Particles

Abstract The triaxial and hexadecapole deformations of the Kπ = 0+ and Kπ = 2+ bands of 24Mg have been investigated by the inelastic scatterings of various probes, including electrons, protons, and alpha(α) particles, for a prolonged time. However, it has been challenging to explain the unique properties of the scatterings observed for the 41+ state through reaction calculations. This paper investigates the structure and transition properties of the Kπ = 0+ and Kπ = 2+ bands of 24Mg employing the microscopic structure and reaction calculations via inelastic proton and α scattering. In particular, the E4 transitions to the 41+ and 42+ states are reexamined. The structure of 24Mg was calculated employing the variation after the parity and total angular momentum projections in the framework of the antisymmetrized molecular dynamics (AMD). The inelastic proton and α reactions were calculated by the microscopic coupled-channel (MCC) approach by folding the Melbourne g-matrix NN interaction with the AMD densities of 24Mg. Reasonable results were obtained on the properties of the structure, including the energy spectra and E2 and E4 transitions of the Kπ = 0+ and Kπ = 2+ bands owing to the enhanced collectivity of triaxial deformation. The MCC+AMD calculation successfully reproduced the angular distributions of the 41+ and 42+ cross sections of proton scattering at incident energies of Ep = 40–100MeV and α scattering at Eα = 100–400 MeV. This is the first microscopic calculation to describe the unique properties of the 01+ → 41+ transition. In the inelastic scattering to the 41+ state, the dominant two-step process of the 01+→ 21+→ 41+ transitions and the deconstructive interference in the weak one-step process were essential.

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