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Possible interpretation of the complex expectation values associated with resonances

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Title: Possible interpretation of the complex expectation values associated with resonances
Authors: Myo, Takayuki Browse this author
Katō, Kiyoshi Browse this author →KAKEN DB
Issue Date: 4-Jan-2023
Publisher: American Physical Society (APS)
Journal Title: Physical Review C
Volume: 107
Issue: 1
Start Page: 014301
Publisher DOI: 10.1103/PhysRevC.107.014301
Abstract: We propose a possible scheme to interpret the complex expectation values associated with resonances having complex eigenenergies. Using the Green’s function for resonances, the expectation value is basically described by the Breit-Wigner distribution as a function of the real excitation energy. In the expression of the complex expectation values for resonances, the real part brings the integral value of the distribution, while the imaginary part produces the deviation from the Breit-Wigner distribution, which explains a shift of the peak in the strength from the resonance energy. We apply the present scheme to several nuclear resonances of 12C, including the Hoyle state, and neutron/proton-rich nuclei of 6He, 6Be, 8He, and 8C. In these nuclei, many-body resonances are obtained as the complex-energy eigenstates under the correct boundary condition using the complex scaling method, and their nuclear radii are uniquely evaluated.We discuss the peculiar energy dependence of the strength function of the square radius for the resonances in these nuclei.
Rights: ©2023 American Physical Society
Type: article
Appears in Collections:理学院・理学研究院 (Graduate School of Science / Faculty of Science) > 雑誌発表論文等 (Peer-reviewed Journal Articles, etc)

Submitter: 加藤 幾芳

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