11 papers
Exact Construction and Uniqueness of the Coupled-Channel Green's Function
Hao Liu, Jin Lei, Zhongzhou Ren
We present a rigorous construction and uniqueness proof of the matrix Green's function for coupled radial Schrödinger equations with symmetric coupling potentials. The Green's mat…
Coulomb bridge mechanism for peripheral polarization of weakly bound projectiles
Hao Liu, Jin Lei, Zhongzhou Ren
We identify the matrix elements that carry peripheral polarization of weakly bound projectiles through the Feshbach dynamical polarization potential (DPP) within the continuum-disc…
Channel couplings redirect absorbed flux from peripheral loss to fusion in weakly bound nuclear reactions
Hao Liu, Jin Lei, Zhongzhou Ren
In reactions of weakly bound nuclei, the absorption cross section mixes two physically distinct contributions: inner capture associated with compound-nucleus formation, and periphe…
Coherent Absorption Dynamics: The Dual Role of Off-Diagonal Couplings in Weakly Bound Nuclei
Hao Liu, Jin Lei, Zhongzhou Ren
Disentangling reaction mechanisms in weakly bound nuclei remains a long-standing challenge, often compounded by the treatment of absorption as an incoherent sum of channel contribu…
Exact Treatment of Continuum Couplings in Nuclear Optical Potentials via Feshbach Theory
Hao Liu, Jin Lei, Zhongzhou Ren
We present the first numerically exact implementation of full-coupling Feshbach theory for deriving effective optical potentials in nuclear reactions, overcoming long-standing comp…
From Complexity to Clarity: Kolmogorov-Arnold Networks in Nuclear Binding Energy Prediction
Hao Liu, Jin Lei, Zhongzhou Ren
This study explores the application of Kolmogorov-Arnold Networks (KANs) in predicting nuclear binding energies, leveraging their ability to decompose complex multi-parameter syste…