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

Fuente: arXiv
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Main Authors: Hu, Rongzhe, Michel, Nicolas, Xu, Zhicheng, Li, Jianguo, Xu, Furong
Format: Preprint
Published: 2025
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_version_ 1866915687948091392
author Hu, Rongzhe
Michel, Nicolas
Xu, Zhicheng
Li, Jianguo
Xu, Furong
author_facet Hu, Rongzhe
Michel, Nicolas
Xu, Zhicheng
Li, Jianguo
Xu, Furong
contents 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 $^4$H, four-neutron $^4n$, $^6$He and $^7$He systems.
format Preprint
id arxiv_https___arxiv_org_abs_2512_04517
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Complex-energy eigenvector continuation for nuclear many-body broad resonances
Hu, Rongzhe
Michel, Nicolas
Xu, Zhicheng
Li, Jianguo
Xu, Furong
Nuclear Theory
Nuclear Experiment
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 $^4$H, four-neutron $^4n$, $^6$He and $^7$He systems.
title Complex-energy eigenvector continuation for nuclear many-body broad resonances
topic Nuclear Theory
Nuclear Experiment
url https://arxiv.org/abs/2512.04517