Neural-network excited states of A=4 nuclei and hypernuclei

Abstract

We present the first variational Monte Carlo study of nuclear and hypernuclear excited states within the neural-network quantum states (NQS) framework. We implement both the overlap penalty (OP) and natural excited state (NES) methods to compute low-lying excitation spectra. To address the spin contamination in hypernuclear calculations, we propose a quantum number targeting (QNT) technique for the OP method. Both the OP-QNT and NES methods can reproduce diagonal observables, such as energies and spatial structures, in excellent agreement with rigorous benchmarks. We further provide, to our knowledge, the first \textit{ab initio} calculation of the M1 transition strength for ⁴_ΛH. The calculated transition strength is consistent with the weak-coupling limit, exhibiting a ∼1.3\% suppression. This work demonstrates that NQS can be elevated from ground-state solvers to practical tools for nuclear and hypernuclear spectroscopy.

Versions

10.1016/j.physletb.2026.140911Published version10.1016/j.physletb.2026.140911

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BibTeX RIS

BibTeX

@misc{zhang2026neuralnetwork,
  title = {{Neural-network excited states of $A=4$ nuclei and hypernuclei}},
  author = {Zi-Xiao Zhang and Yi-Long Yang and Xiao-Lu Qian and Wan-Bing He and Peng-Wei Zhao and Bing-Nan Lu and Yu-Gang Ma},
  howpublished = {arXiv},
  year = {2026},
  month = may,
  doi = {10.48550/arxiv.2605.30944},
  eprint = {2605.30944},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2605.30944},
}

RIS

TY  - UNPB
TI  - Neural-network excited states of A=4 nuclei and hypernuclei
AU  - Zi-Xiao Zhang
AU  - Yi-Long Yang
AU  - Xiao-Lu Qian
AU  - Wan-Bing He
AU  - Peng-Wei Zhao
AU  - Bing-Nan Lu
AU  - Yu-Gang Ma
PY  - 2026
DA  - 2026/05/29
PB  - arXiv
DO  - 10.48550/arxiv.2605.30944
UR  - https://arxiv.org/abs/2605.30944
AB  - We present the first variational Monte Carlo study of nuclear and hypernuclear excited states within the neural-network quantum states (NQS) framework. We implement both the overlap penalty (OP) and natural excited state (NES) methods to compute low-lying excitation spectra. To address the spin contamination in hypernuclear calculations, we propose a quantum number targeting (QNT) technique for the OP method. Both the OP-QNT and NES methods can reproduce diagonal observables, such as energies and spatial structures, in excellent agreement with rigorous benchmarks. We further provide, to our knowledge, the first \textit{ab initio} calculation of the M1 transition strength for ^4_ΛH. The calculated transition strength is consistent with the weak-coupling limit, exhibiting a ∼1.3\% suppression. This work demonstrates that NQS can be elevated from ground-state solvers to practical tools for nuclear and hypernuclear spectroscopy.
ER  -

Abstract

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