2016/06/30 by Tomohiro Oishi, M. Kortelainen, Markus Kortelainen +1
Mathematics · Physics and Astronomy · #Atomic and Molecular Physics #Atomic physics #Exponential decay #Exponential function #Hamiltonian (control theory) #Mathematical analysis #Mathematics #Nuclear physics #Nuclear physics research studies #Pairing #Physics #Proton #Proton emission #Quantum Chromodynamics and Particle Interactions #Quantum mechanics #nucl-ex #nucl-th
paper · pdf · doi:10.1103/physrevc.96.044327
published as Phys. Rev. C 96, 044327 (2017) · Result and conclusion have been majorly revised from the previous version. 11 pages, 10 figures, 2 table
openalex publication_date 2017/10/26 · arxiv created 2017/10/27 · arxiv updated 2017/10/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
Sensitivity of two-proton emitting decay to nuclear pairing correlation is discussed within a time-dependent three-body model. We focus on the 6Be nucleus assuming \ensuremathα+p+p configuration, and its decay process is described as a time evolution of the three-body resonance state. For a proton-proton subsystem, a schematic density-dependent contact (SDDC) pairing model is employed. From the time-dependent calculation, we observed the exponential decay rule of a two-proton emission. It is shown that the density dependence does not play a major role in determining the decay width, which can be controlled only by the asymptotic strength of the pairing interaction. This asymptotic pairing sensitivity can be understood in terms of the dynamics of the wave function driven by the three-body Hamiltonian, by monitoring the time-dependent density distribution. With this simple SDDC pairing model, there remains an impossible trinity problem: it cannot simultaneously reproduce the empirical Q value, decay width, and the nucleon-nucleon scattering length. This problem suggests that a further sophistication of the theoretical pairing model is necessary, utilizing the two-proton radioactivity data as the reference quantities.