Complex-energy eigenvector continuation for nuclear many-body broad resonances

2025/12/04 by Hu, Rongzhe, Michel, Nicolas, Xu, Zhicheng +2
Physics and Astronomy · #FOS: Physical sciences #Nuclear Experiment (nucl-ex) #Nuclear Theory (nucl-th) #Nuclear physics research studies #Quantum chaos and dynamical systems #Quantum, superfluid, helium dynamics

paper · doi:10.48550/arxiv.2512.04517

openalex publication_date 2025/12/04 · openalex created_date 2025/12/06 · openalex updated_date 2026/07/28

Abstract

Broad resonances are a unique phenomenon in nuclear many-body systems. Theoretical studies usually involve the continuum degree of freedom, which drastically increases the model space of calculations, and may lead to non-convergence or instability of computations. In this paper, we present the extension of the eigenvector continuation (EC) method to the complex-energy space to treat the broad resonances of open quantum systems of nuclei. EC provides an efficient method to predict the solution of a large-space many-body problem within a small subspace. Using only a few bound and narrow resonance solutions as input in EC, we can obtain the solution of a broad resonance. We have applied the complex-energy EC to the broad resonances of ⁴H, four-neutron ⁴n, ⁶He and ⁷He systems.

Citations

• Towards scalable bound-to-resonance extrapolations for few- and many-body systems
• Investigation of unbound hydrogen isotopes with the Gamow shell model
• Measurement of the α-particle monopole transition form factor challenges theory: a low-energy puzzle for nuclear forces?
• Eigenvector continuation as an efficient and accurate emulator for uncertainty quantification
• From low-momentum interactions to nuclear structure
• Accurate charge-dependent nucleon-nucleon potential at fourth order of chiral perturbation theory
• On the Derivation of the Dispersion Formula for Nuclear Reactions

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