<math xmlns="http://www.w3.org/1998/Math/MathML"><msup><mrow><mn>1</mn><mo>/</mo><mn>2</mn></mrow><mo>−</mo></msup></math> resonances of <math xmlns="http://www.w3.org/1998/Math/MathML"><mmultiscripts><mi mathvariant="normal">C</mi><mprescripts></mprescripts><none></none><mn>13</mn></mmultiscripts></math> studied by the analytic continuation in the coupling constant

Seungheon Shin; Masaaki Kimura; Bo Zhou; Qing Zhao

doi:10.1103/p7bf-vp1p

${1 / 2}^{-}$ resonances of ${}^{13}C$ studied by the analytic continuation in the coupling constant

Department of Physics, Hokkaido University, Sapporo 060-0810, Japan

RIKEN Nishina Center, Wako, Saitama 351-0198, Japan

Key Laboratory of Nuclear Physics and Ion-Beam Application (MoE), Institute of Modern Physics, Fudan University, Shanghai 200433, China and Shanghai Research Center for Theoretical Nuclear Physics, NSFC and Fudan University, Shanghai 200438, China

School of Science, Huzhou University, Huzhou 313000, Zhejiang, China

^*Contact author: masaaki.kimura@riken.jp

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Phys. Rev. C 113, 014323 – Published 26 January, 2026

DOI: https://doi.org/10.1103/p7bf-vp1p

Abstract

The $1 / 2^{-}$ resonances in ${}^{13}C$ are investigated to search for the Hoyle-analog state. In order to treat the resonances located around the $3 α + n$ threshold, the analytic continuation in the coupling constant has been combined with the real-time evolution method. We show that the observed $1 / 2^{-}$ resonances are mainly $p_{3 / 2}$ -dominant states such as the ${}^{9}{Be} (3 / 2^{-}) + α$ channel, and no Hoyle-analog ${}^{12}C (0_{2}^{+}) + p_{1 / 2}$ state exists below 10 MeV.

Physical Review C

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${1 / 2}^{-}$ resonances of ${}^{13}C$ studied by the analytic continuation in the coupling constant

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1/2− resonances of C13 studied by the analytic continuation in the coupling constant

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${1 / 2}^{-}$ resonances of ${}^{13}C$ studied by the analytic continuation in the coupling constant