Quasiparticle random-phase approximation calculations for M1 transitions with the noniterative finite-amplitude method and application to neutron radiative capture cross sections

Sasaki, Hirokazu; Kawano, Toshihiko; Stetcu, Ionel

doi:10.1103/physrevc.107.054312

Quasiparticle random-phase approximation calculations for M1 transitions with the noniterative finite-amplitude method and application to neutron radiative capture cross sections

Journal Article · Wed May 24 00:00:00 EDT 2023 · Physical Review. C

DOI:https://doi.org/10.1103/physrevc.107.054312· OSTI ID:2472603

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Los Alamos National Laboratory (LANL), Los Alamos, NM (United States)

Here, we derive the equations of quasiparticle random-phase approximation (QRPA) based on the finite amplitude method with the Hartree-Fock+Bardeen–Cooper–Schrieffer (HF+BCS) single-particle states, and calculate the magnetic dipole (M⁢1) transition for deformed gadolinium isotopes. Our QRPA calculation shows both large spin-flip transitions in the 5 to 10 MeV excitation energy and the low energy orbital transition that would correspond to the M⁢1 scissors mode observed in nuclear experiments. Then, we calculate neutron capture reactions based on the statistical Hauser-Feshbach theory with the photoabsorption cross sections of even-even nuclei given by QRPA. We find that the capture cross section is enhanced due to the contribution from the low energy M⁢1 transition although the calculated capture cross section still underestimates the experimental data. This issue in the calculated capture cross section could be improved by uncertainties of the low energy E⁢1 transition neglected in our QRPA calculation.

View Accepted Manuscript (DOE)

Research Organization:: Los Alamos National Laboratory (LANL), Los Alamos, NM (United States)

Sponsoring Organization:: USDOE National Nuclear Security Administration (NNSA), Office of Defense Nuclear Nonproliferation; USDOE Office of Science (SC)

Grant/Contract Number:: 89233218CNA000001

OSTI ID:: 2472603

Report Number(s):: LA-UR--22-32329

Journal Information:: Physical Review. C, Journal Name: Physical Review. C Journal Issue: 5 Vol. 107; ISSN 2469-9985

Publisher:: American Physical Society (APS)Copyright Statement

Country of Publication:: United States

Language:: English

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Quasiparticle random-phase approximation calculations for M1 transitions with the noniterative finite-amplitude method and application to neutron radiative capture cross sections

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