Time-evolution formalism in the complex scaling method: Application to the two-proton decay of 6Be
Abstract
We apply our complex-scaled time-evolution operator to the two-proton decay of 6Be. The nucleus is described as an α+p+p three-body system with explicit Jacobi-coordinate rearrangement and the realistic Argonne v8' NN interaction for the proton-proton subsystem. Starting from a confined initial wave packet, the decay dynamics are described by expansion over the complex-scaled eigenstates of the final Hamiltonian. The decay width extracted from the late-time survival probability agrees closely with that obtained from the CSM resonance pole. The time-dependent densities in different Jacobi coordinates reveal complementary aspects of the evolving three-body geometry, while the spin-singlet component remains dominant during the decay. In particular, the correlated two-proton configuration persists even in the presence of the strong short-range repulsion of the realistic NN interaction. These results demonstrate the applicability of the complex-scaled time-evolution framework to explicit three-body decay dynamics and provide a consistent description of the decay width, spatial evolution, and spin correlations of 6Be.
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BibTeX
@misc{kikuchi2026timeevolution,
title = {{Time-evolution formalism in the complex scaling method: Application to the two-proton decay of $^6$Be}},
author = {Yuma Kikuchi and Kiyoshi Katō and Takayuki Myo},
howpublished = {arXiv},
year = {2026},
month = sep,
doi = {10.48550/arxiv.2609.24076},
eprint = {2609.24076},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2609.24076},
}
RIS
TY - UNPB
TI - Time-evolution formalism in the complex scaling method: Application to the two-proton decay of ^6Be
AU - Yuma Kikuchi
AU - Kiyoshi Katō
AU - Takayuki Myo
PY - 2026
DA - 2026/09/21
PB - arXiv
DO - 10.48550/arxiv.2609.24076
UR - https://arxiv.org/abs/2609.24076
AB - We apply our complex-scaled time-evolution operator to the two-proton decay of ^6Be. The nucleus is described as an α+p+p three-body system with explicit Jacobi-coordinate rearrangement and the realistic Argonne v8' NN interaction for the proton-proton subsystem. Starting from a confined initial wave packet, the decay dynamics are described by expansion over the complex-scaled eigenstates of the final Hamiltonian. The decay width extracted from the late-time survival probability agrees closely with that obtained from the CSM resonance pole. The time-dependent densities in different Jacobi coordinates reveal complementary aspects of the evolving three-body geometry, while the spin-singlet component remains dominant during the decay. In particular, the correlated two-proton configuration persists even in the presence of the strong short-range repulsion of the realistic NN interaction. These results demonstrate the applicability of the complex-scaled time-evolution framework to explicit three-body decay dynamics and provide a consistent description of the decay width, spatial evolution, and spin correlations of ^6Be.
ER -