Large-amplitude quadrupole shape mixing probed by the $(p,p^\prime)$ reaction: A model analysis (bibtex)
by Sato, Koichi, Furumoto, Takenori, Kikuchi, Yuma, Ogata, Kazuyuki and Sakuragi, Yukinori
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.
Reference:
Sato, Koichi, Furumoto, Takenori, Kikuchi, Yuma, Ogata, Kazuyuki and Sakuragi, Yukinori, "Large-amplitude quadrupole shape mixing probed by the $(p,p^\prime)$ reaction: A model analysis", Progress of Theoretical and Experimental Physics, vol. 2019, no. 10, 2019.
Bibtex Entry:
@article{Sato2019,
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.},
author = {Sato, Koichi and Furumoto, Takenori and Kikuchi, Yuma and Ogata, Kazuyuki and Sakuragi, Yukinori},
doi = {10.1093/ptep/ptz095},
issn = {2050-3911},
journal = {Progress of Theoretical and Experimental Physics},
month = {oct},
number = {10},
title = {{Large-amplitude quadrupole shape mixing probed by the $(p,p^\prime)$ reaction: A model analysis}},
url = {https://academic.oup.com/ptep/article/doi/10.1093/ptep/ptz095/5585458},
volume = {2019},
year = {2019}
}
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