Hoyle-analog state in ¹³N

2025/01/30 by Cao, Ying-Yu, Tao, De-Ye, Zhou, Bo +1
#FOS: Physical sciences #Nuclear Theory (nucl-th)

paper · doi:10.48550/arxiv.2501.18303

Abstract

We investigate the cluster structure of \rm ¹³N using a microscopic α+α+α+p four-body cluster model. The calculated spectra agree well with the observed spectra in the low-lying states. We calculate the reduced width amplitudes and spectroscopic factors to investigate the Hoyle-analog state in \rm ¹³N. Our calculations show that the 3/2₃^- state at E_x=10.8 MeV is primarily constituted by \rm ¹²C(0⁺₂)+p and \rm ⁹B(3/2^-)+α components. This finding is generally consistent with the newly observed 3/2^- state at E_x=11.3 MeV via the 3α+ p decay channel. Moreover, considering the calculated root-mean-square radius and isoscalar monopole transition strengths, the 3/2₃^- state emerges as a candidate for the Hoyle-analog state with the \rm ¹²C(0⁺₂)+p cluster structure.

Related

• 1/2^- α cluster resonances of ¹³C studied by the analytic continuation in the coupling constant
• Cluster structure of 3α+p states in ¹³N
• The 3α correlations of ground and excited 0⁺ states of ¹²C within the microscopic cluster model
• Multi-probe study of excited states in \mathrm¹²C: disentangling the sources of monopole strength between the Hoyle state and E_x = 13 MeV
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