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<p>In this study, we calculated the photon absorption cross sections of even–even neodymium (Nd) isotopes using the Dirac Quasiparticle Finite Amplitude Method (relativistic QFAM), combined with the Tiny Smearing Approximation (TSA) method. This approach enables the efficient reproduction of experimental photon absorption data for both spherical and deformed nuclei. We demonstrate that relativistic QFAM calculations with any smearing parameter <InlineEquation ID="IEq1"> <EquationSource Format="TEX">\(\gamma\)</EquationSource> <EquationSource Format="MATHML"><math> <mi>γ</mi> </math></EquationSource> </InlineEquation> can be scaled using the TSA method, significantly reducing the computational cost. Our method was applied to Nd isotopes, with experimental data reproduced for <sup>142,144,146,148,150</sup>Nd and predictions for <sup>152</sup>Nd. By optimizing the three key parameters, the total <InlineEquation ID="IEq2"> <EquationSource Format="TEX">\(\chi ^2\)</EquationSource> <EquationSource Format="MATHML"><math> <msup> <mi>χ</mi> <mn>2</mn> </msup> </math></EquationSource> </InlineEquation> between the calculations and experimental data was reduced by nearly an order of magnitude. Furthermore, the role of nuclear deformation in the Giant Dipole Resonance (GDR) structure was analyzed, highlighting its impact on the emergence of double peaks in the photon absorption cross sections of deformed nuclei. This work provides a robust microscopic approach to improve photonuclear data for applications in nuclear physics and astrophysics.</p>

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Microscopic calculation of photon strength functions in Nd isotopes using the dirac quasiparticle finite amplitude method

  • 期刊论文

  • 发表日期：

    2025年10月17日

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  • Hai-Ruo Liu,
  • Yuan Tian,
  • Rui-Rui Xu,
  • Yi-Fei Niu,
  • Ying Cui,
  • Xi Tao,
  • Xiao-Dong Sun,
  • Zhi Zhang,
  • Zhi-Gang Ge,
  • Neng-Chuan Shu

摘要

In this study, we calculated the photon absorption cross sections of even–even neodymium (Nd) isotopes using the Dirac Quasiparticle Finite Amplitude Method (relativistic QFAM), combined with the Tiny Smearing Approximation (TSA) method. This approach enables the efficient reproduction of experimental photon absorption data for both spherical and deformed nuclei. We demonstrate that relativistic QFAM calculations with any smearing parameter \(\gamma\) γ can be scaled using the TSA method, significantly reducing the computational cost. Our method was applied to Nd isotopes, with experimental data reproduced for 142,144,146,148,150Nd and predictions for 152Nd. By optimizing the three key parameters, the total \(\chi ^2\) χ 2 between the calculations and experimental data was reduced by nearly an order of magnitude. Furthermore, the role of nuclear deformation in the Giant Dipole Resonance (GDR) structure was analyzed, highlighting its impact on the emergence of double peaks in the photon absorption cross sections of deformed nuclei. This work provides a robust microscopic approach to improve photonuclear data for applications in nuclear physics and astrophysics.