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PreprintarXiv licencearXiv

Configuration-interaction time-dependent density functional theory for nuclear dynamics

Abstract

A configuration-interaction time-dependent density functional theory (CI-TDDFT) for nuclear dynamics is developed. In this framework, the correlated nuclear many-body wave function is expanded in terms of time-dependent many-particle configurations built from a common set of orthonormal single-particle states. The equations of motion for both the expansion coefficients and the single-particle states are derived self-consistently using the Dirac-Frenkel time-dependent variational principle. This formulation extends conventional time-dependent density functional theory (TDDFT) by incorporating configuration mixing and beyond-mean-field correlations, while preserving energy and particle-number conservation. As an illustrative application, the method is implemented using the relativistic point-coupling functional PC-PK1 in the particle-hole channel and a monopole pairing interaction in the particle-particle channel, and is applied to the study of isoscalar giant monopole resonance in 58Ni and 60Ni. Numerical tests show that both the total energy and particle number are conserved, with relative deviations within 4× 10−4 during the time evolution. Compared with conventional TDDFT, CI-TDDFT yields broader strength distributions for giant monopole resonances while keeping the main peak positions close to those from TDDFT. This broadening is associated with configuration mixing in the valence space and suggests a coupling of the monopole oscillation to additional collective degrees of freedom. These results demonstrate the potential of CI-TDDFT as a quantum, microscopic beyond-mean-field framework for nuclear dynamics.

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BibTeX
@misc{wang2026configurationinteraction,
  title = {{Configuration-interaction time-dependent density functional theory for nuclear dynamics}},
  author = {Y. P. Wang and B. Li and D. Vretenar and T. Nikšić and P. W. Zhao and J. Meng},
  howpublished = {arXiv},
  year = {2026},
  month = may,
  doi = {10.48550/arxiv.2605.21037},
  eprint = {2605.21037},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2605.21037},
}
RIS
TY  - UNPB
TI  - Configuration-interaction time-dependent density functional theory for nuclear dynamics
AU  - Y. P. Wang
AU  - B. Li
AU  - D. Vretenar
AU  - T. Nikšić
AU  - P. W. Zhao
AU  - J. Meng
PY  - 2026
DA  - 2026/05/20
PB  - arXiv
DO  - 10.48550/arxiv.2605.21037
UR  - https://arxiv.org/abs/2605.21037
AB  - A configuration-interaction time-dependent density functional theory (CI-TDDFT) for nuclear dynamics is developed. In this framework, the correlated nuclear many-body wave function is expanded in terms of time-dependent many-particle configurations built from a common set of orthonormal single-particle states. The equations of motion for both the expansion coefficients and the single-particle states are derived self-consistently using the Dirac-Frenkel time-dependent variational principle. This formulation extends conventional time-dependent density functional theory (TDDFT) by incorporating configuration mixing and beyond-mean-field correlations, while preserving energy and particle-number conservation. As an illustrative application, the method is implemented using the relativistic point-coupling functional PC-PK1 in the particle-hole channel and a monopole pairing interaction in the particle-particle channel, and is applied to the study of isoscalar giant monopole resonance in ^58Ni and ^60Ni. Numerical tests show that both the total energy and particle number are conserved, with relative deviations within 4× 10^−4 during the time evolution. Compared with conventional TDDFT, CI-TDDFT yields broader strength distributions for giant monopole resonances while keeping the main peak positions close to those from TDDFT. This broadening is associated with configuration mixing in the valence space and suggests a coupling of the monopole oscillation to additional collective degrees of freedom. These results demonstrate the potential of CI-TDDFT as a quantum, microscopic beyond-mean-field framework for nuclear dynamics.
ER  -