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<p>In this paper, collective quadrupole-octupole excitations are investigated within the Bohr Hamiltonian framework. An extended sextic potential is adopted to characterize these modes, and analytic expressions for the lowest-branch energy spectrum and wave functions are obtained. A Nesterov-accelerated-gradient optimization scheme is then employed to calibrate the model parameters against the excitation spectra and electromagnetic transition rates of selected nuclei. The results are compared with the available experiments. The comparison shows that the model captures the main spectroscopic trends, although noticeable deviations remain for several low-lying negative-parity levels and transition strengths.</p>

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Study of collective quadrupole-octupole excitations with the extended sextic potential and machine-learning optimization

  • 期刊论文

  • 发表日期：

    2026年7月28日

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  • Hadi Sobhani,
  • Yan-An Luo

摘要

In this paper, collective quadrupole-octupole excitations are investigated within the Bohr Hamiltonian framework. An extended sextic potential is adopted to characterize these modes, and analytic expressions for the lowest-branch energy spectrum and wave functions are obtained. A Nesterov-accelerated-gradient optimization scheme is then employed to calibrate the model parameters against the excitation spectra and electromagnetic transition rates of selected nuclei. The results are compared with the available experiments. The comparison shows that the model captures the main spectroscopic trends, although noticeable deviations remain for several low-lying negative-parity levels and transition strengths.