Analysis of the contribution of resonance poles of ¹⁶O based on the Mittag-Leffler theorem within the Jost-RPA framework

2025/03/28 by Mizuyama, K., Thuy, T. Dieu
#FOS: Physical sciences #Nuclear Theory (nucl-th)

paper · doi:10.48550/arxiv.2503.22102

Abstract

This study investigates resonance states in ¹⁶O, specifically the E1 giant resonance and isoscalar/isovector quadrupole resonances, using the Jost-RPA method. By applying the Mittag-Leffler theorem, we decompose the RPA response function to analyze the individual contributions from poles corresponding to collective excitation modes. This decomposition clarifies the role of each pole in shaping the strength function, providing insights into the nature and classification of resonance states essential for understanding collective nuclear excitations. Our analysis identifies the dominant pole contributions to the observed resonance structures, offering a novel approach for exploring collective excitation phenomena in nuclei with complex many-body correlations.

Related

• Complex eigenenergy of GDR for ¹⁶O by the Jost function within RPA framework
• Eigenphase shift decomposition of the RPA strength function based on the Jost-RPA method
• Isoscalar Giant Resonances: Experimental Studies
• Fragmentation patterns of nuclear response: low-spin giant resonances and soft modes
• Calculations of the isoscalar giant monopole resonance within the self-consistent RPA and its extensions