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arxiv: 2605.21037 · v1 · pith:7ENKLYGJnew · submitted 2026-05-20 · ⚛️ nucl-th · nucl-ex

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

Y. P. Wang , B. Li , D. Vretenar , T. Nik\v{s}i\'c , P. W. Zhao , J. Meng This is my paper

Pith reviewed 2026-05-21 02:14 UTC · model grok-4.3

classification ⚛️ nucl-th nucl-ex
keywords configuration-interaction TDDFTnuclear dynamicsgiant monopole resonanceconfiguration mixingbeyond-mean-fieldnickel-58nickel-60time-dependent variational principle
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0 comments X

The pith

CI-TDDFT broadens giant monopole resonance strength distributions while keeping main peaks near their TDDFT positions.

A machine-rendered reading of the paper's core claim, the machinery that carries it, and where it could break.

The paper develops a configuration-interaction time-dependent density functional theory that expands the nuclear many-body wave function in a set of time-dependent many-particle configurations built from orthonormal single-particle states. Equations of motion for the expansion coefficients and the single-particle states are derived from the Dirac-Frenkel time-dependent variational principle, adding configuration mixing and beyond-mean-field correlations to standard TDDFT while preserving energy and particle-number conservation. When applied to the isoscalar giant monopole resonance in nickel-58 and nickel-60 with the PC-PK1 functional plus monopole pairing, the approach produces broader strength distributions than conventional TDDFT, with the broadening traced to valence-space configuration mixing.

Core claim

The central claim is that the nuclear wave function can be written as a linear combination of time-dependent many-particle configurations generated from a common set of orthonormal single-particle orbitals, and that the Dirac-Frenkel variational principle then yields coupled equations of motion for both the mixing coefficients and the orbitals. This formulation extends mean-field TDDFT by explicit configuration mixing; numerical evolution for the giant monopole resonance in the two nickel isotopes shows that the resulting strength function is noticeably broader than the TDDFT result while the location of the dominant peak remains almost unchanged.

What carries the argument

Expansion of the many-body wave function in time-dependent many-particle configurations from orthonormal single-particle states, with dynamics generated by the Dirac-Frenkel time-dependent variational principle.

If this is right

  • Both total energy and particle number are conserved during the time evolution to within relative deviations of 4 times 10 to the minus 4.
  • The isoscalar giant monopole strength distribution becomes broader than in standard TDDFT while the main peak position stays nearly the same.
  • The broadening is directly linked to configuration mixing inside the valence space.
  • The monopole oscillation couples to additional collective degrees of freedom beyond those captured by mean-field TDDFT.

Where Pith is reading between the lines

These are editorial extensions of the paper, not claims the author makes directly.

  • The same variational framework could be used to study how configuration mixing modifies the response of other collective modes such as dipole or quadrupole resonances.
  • Extending the single-particle basis or the pairing channel might further increase the width and reveal which additional modes are being coupled.
  • If the broadening persists across a range of functionals, it could offer a microscopic route to understanding why experimental giant-resonance widths often exceed mean-field predictions.

Load-bearing premise

The chosen set of time-dependent many-particle configurations is complete enough that the Dirac-Frenkel variational evolution captures the essential nuclear dynamics without large truncation errors.

What would settle it

A high-resolution measurement or converged calculation that finds the giant monopole resonance width in nickel-58 or nickel-60 unchanged from the conventional TDDFT prediction even after full valence-space configuration mixing would falsify the reported broadening effect.

Figures

Figures reproduced from arXiv: 2605.21037 by B. Li, D. Vretenar, J. Meng, P. W. Zhao, T. Nik\v{s}i\'c, Y. P. Wang.

Figure 1
Figure 1. Figure 1: FIG. 1 [PITH_FULL_IMAGE:figures/full_fig_p006_1.png] view at source ↗
Figure 2
Figure 2. Figure 2: FIG. 2 [PITH_FULL_IMAGE:figures/full_fig_p018_2.png] view at source ↗
Figure 3
Figure 3. Figure 3: FIG. 3 [PITH_FULL_IMAGE:figures/full_fig_p019_3.png] view at source ↗
Figure 4
Figure 4. Figure 4: FIG. 4 [PITH_FULL_IMAGE:figures/full_fig_p020_4.png] view at source ↗
Figure 5
Figure 5. Figure 5: FIG. 5 [PITH_FULL_IMAGE:figures/full_fig_p021_5.png] view at source ↗
Figure 6
Figure 6. Figure 6: FIG. 6 [PITH_FULL_IMAGE:figures/full_fig_p022_6.png] view at source ↗
Figure 7
Figure 7. Figure 7: FIG. 7 [PITH_FULL_IMAGE:figures/full_fig_p024_7.png] view at source ↗
Figure 8
Figure 8. Figure 8: FIG. 8 [PITH_FULL_IMAGE:figures/full_fig_p025_8.png] view at source ↗
Figure 9
Figure 9. Figure 9: FIG. 9 [PITH_FULL_IMAGE:figures/full_fig_p026_9.png] view at source ↗
read the original 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 $^{58}$Ni and $^{60}$Ni. Numerical tests show that both the total energy and particle number are conserved, with relative deviations within $4\times 10^{-4}$ 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.

Editorial analysis

A structured set of objections, weighed in public.

Desk editor's note, referee report, simulated authors' rebuttal, and a circularity audit. Tearing a paper down is the easy half of reading it; the pith above is the substance, this is the friction.

Referee Report

1 major / 1 minor

Summary. The manuscript develops a configuration-interaction time-dependent density functional theory (CI-TDDFT) for nuclear dynamics. The correlated nuclear many-body wave function is expanded in time-dependent many-particle configurations built from a common set of orthonormal single-particle states. Equations of motion for the expansion coefficients and single-particle states are derived self-consistently via the Dirac-Frenkel time-dependent variational principle. The framework is implemented with the relativistic point-coupling functional PC-PK1 in the particle-hole channel plus a monopole pairing interaction in the particle-particle channel and applied to the isoscalar giant monopole resonance in 58Ni and 60Ni. Numerical tests confirm conservation of total energy and particle number to within 4×10^{-4}. Compared with conventional TDDFT, CI-TDDFT produces broader strength distributions while keeping main peak positions similar; the broadening is attributed to configuration mixing in the valence space and interpreted as evidence for coupling to additional collective degrees of freedom.

Significance. If the reported broadening is shown to be robust against configuration-space truncation, the work would provide a useful quantum, microscopic beyond-mean-field extension of TDDFT that incorporates configuration mixing while preserving conservation laws. The explicit numerical demonstration of energy and particle-number conservation during time evolution is a concrete strength that supports the internal consistency of the time-dependent variational formulation.

major comments (1)
  1. [Section describing the GMR calculations and strength distributions] The central interpretation that broader isoscalar GMR strength distributions arise from configuration mixing (and indicate coupling to additional collective degrees of freedom) is load-bearing for the main claim, yet the manuscript does not report a systematic enlargement of the valence-space configuration space or single-particle basis, nor does it show the dependence of the extracted width on the number of included configurations. Without such tests, it remains possible that the observed broadening is a truncation artifact rather than a physical effect.
minor comments (1)
  1. [Abstract] The abstract states that energy and particle number are conserved to within 4×10^{-4} but provides no further details on the error analysis or on how the strength functions were extracted from the time evolution.

Simulated Author's Rebuttal

1 responses · 0 unresolved

We thank the referee for the careful review and constructive comments on our manuscript. We address the major comment below.

read point-by-point responses

  1. Referee: [Section describing the GMR calculations and strength distributions] The central interpretation that broader isoscalar GMR strength distributions arise from configuration mixing (and indicate coupling to additional collective degrees of freedom) is load-bearing for the main claim, yet the manuscript does not report a systematic enlargement of the valence-space configuration space or single-particle basis, nor does it show the dependence of the extracted width on the number of included configurations. Without such tests, it remains possible that the observed broadening is a truncation artifact rather than a physical effect.

    Authors: We agree that demonstrating robustness of the broadening against configuration-space truncation is important for the central claim. In the revised manuscript we will add calculations with an enlarged valence space (more particle-hole configurations) and, where computationally feasible, an extended single-particle basis. We will explicitly show the dependence of the extracted GMR width on the number of included configurations to confirm that the broadening persists and is not a truncation artifact. These additional results will be presented alongside the existing energy and particle-number conservation tests. revision: yes

Circularity Check

0 steps flagged

No significant circularity; derivation applies standard TDVP to CI ansatz with independent numerical outcomes

full rationale

The paper derives the CI-TDDFT equations of motion directly from the Dirac-Frenkel time-dependent variational principle applied to a wave-function expansion in time-dependent many-particle configurations built from orthonormal single-particle states. This yields coupled EOMs for coefficients and orbitals while preserving energy and particle-number conservation, as verified numerically to 4e-4. The broadening of isoscalar GMR strength distributions is reported as a numerical result from time evolution with the pre-existing PC-PK1 functional plus monopole pairing, explicitly attributed to configuration mixing rather than imposed by construction or parameter fitting. No self-citations are invoked to justify uniqueness or core premises, and the method does not reduce the target observables to the inputs tautologically. The framework extends conventional TDDFT without circular reduction, making the central claim self-contained against external benchmarks.

Axiom & Free-Parameter Ledger

1 free parameters · 2 axioms · 0 invented entities

The framework rests on standard quantum variational methods and existing nuclear functionals; the monopole pairing strength is the main adjustable element introduced for the application.

free parameters (1)
  • Monopole pairing interaction strength
    Introduced in the particle-particle channel and used for the specific Ni calculations; its value is not derived from first principles within the paper.
axioms (2)
  • standard math Dirac-Frenkel time-dependent variational principle
    Invoked to derive the coupled equations of motion for expansion coefficients and single-particle states.
  • standard math Orthonormality of the single-particle basis states
    Assumed when constructing the time-dependent many-particle configurations.

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