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Main Authors: Saito, Teruyuki, Matsuo, Masayuki
Format: Preprint
Published: 2025
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Online Access:https://arxiv.org/abs/2504.18239
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author Saito, Teruyuki
Matsuo, Masayuki
author_facet Saito, Teruyuki
Matsuo, Masayuki
contents We formulate a microscopic theory to calculate cross section of the radiative neutron capture on neutron-rich nuclei using the continuum quasiparticle random-phase approximation. This formulation is designed to be applied to neutron-rich nuclei around the $r$-process path, for which the compound nuclear model may not be appropriate. It takes into account effects of various excitation modes such as the soft dipole excitation, the giant resonances, and the quasiparticle resonance in addition to the surface vibrations such as quadrupole and octupole modes. We perform numerical calculations to demonstrate new features of the present theory, employing reactions $^{89}{\rm Ge}(n,γ)^{90}{\rm Ge}$ and $^{91}{\rm Zn}(n,γ)^{92}{\rm Zn}$ with $E1$ transitions populating the ground state, collective $2^{+}_{1}$ and $3^{-}_{1}$ states in $ ^{90}{\rm Ge}$ and $^{92}{\rm Zn}$. With these examples, we discuss enhanced resonance contributions in the $(n,γ)$ reaction at low energy, which originate from the quasiparticle resonance and the pygmy quadrupole resonance located just above the one neutron separation energy, and from combination with the low-lying octupole vibrational state.
format Preprint
id arxiv_https___arxiv_org_abs_2504_18239
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Continuum quasiparticle random-phase approximation for $(n,γ)$ reactions on neutron-rich nuclei: collectivity and resonances in low-energy cross section
Saito, Teruyuki
Matsuo, Masayuki
Nuclear Theory
We formulate a microscopic theory to calculate cross section of the radiative neutron capture on neutron-rich nuclei using the continuum quasiparticle random-phase approximation. This formulation is designed to be applied to neutron-rich nuclei around the $r$-process path, for which the compound nuclear model may not be appropriate. It takes into account effects of various excitation modes such as the soft dipole excitation, the giant resonances, and the quasiparticle resonance in addition to the surface vibrations such as quadrupole and octupole modes. We perform numerical calculations to demonstrate new features of the present theory, employing reactions $^{89}{\rm Ge}(n,γ)^{90}{\rm Ge}$ and $^{91}{\rm Zn}(n,γ)^{92}{\rm Zn}$ with $E1$ transitions populating the ground state, collective $2^{+}_{1}$ and $3^{-}_{1}$ states in $ ^{90}{\rm Ge}$ and $^{92}{\rm Zn}$. With these examples, we discuss enhanced resonance contributions in the $(n,γ)$ reaction at low energy, which originate from the quasiparticle resonance and the pygmy quadrupole resonance located just above the one neutron separation energy, and from combination with the low-lying octupole vibrational state.
title Continuum quasiparticle random-phase approximation for $(n,γ)$ reactions on neutron-rich nuclei: collectivity and resonances in low-energy cross section
topic Nuclear Theory
url https://arxiv.org/abs/2504.18239