将连续离散耦合通道（CDCC）方法与动量空间中的三体Faddeev方程的精确解进行了比较。我们目前的结果：i）d-12 C在E_d=56 MeV的弹性和分裂观测值，ii）d-58 Ni在E_d=80 MeV的弹性散射观测值，iii）11 Be +p在E_{11Be} /A=38.4 MeV的弹性、分裂和转移观测值。我们的比较研究表明，在前两种情况下，CDCC方法是一个很好的近似完整的三体Faddeev解决方案，但对于11 Be奇异核，取决于可观测或运动学制度，它可能会错过一些动力学三体效应，出现通过显式耦合到传输通道。
英文摘要：
The continuum discretized coupled channels (CDCC) method is compared to the exact solution of the three-body Faddeev equations in momentum space. We present results for: i) elastic and breakup observables of d-12C at E_d=56 MeV, ii) elastic scattering of d-58Ni at E_d=80 MeV, and iii) elastic, breakup and transfer observables for 11Be+p at E_{11Be}/A=38.4 MeV. Our comparative studies show that, in the first two cases, the CDCC method is a good approximation to the full three-body Faddeev solution, but for the 11Be exotic nucleus, depending on the observable or the kinematic regime, it may miss out some of the dynamic three-body effects that appear through the explicit coupling to the transfer channel.
Four-body continuum-discretized coupled-channels calculations using a transformed harmonic oscillator basis
讨论了弱束缚三体系统与目标的散射问题。一个变换的谐振子基础是用来提供一个适当的离散和有限的基础处理的连续部分的频谱的弹丸。连续离散耦合通道框架用于散射计算。该方法适用于不同的反应，6 He +12 C在229.8 MeV，6 He +64 Zn在10和13.6 MeV，和6 He +208 Pb在22 MeV，由Borromean核6 He诱导。库仑和核与目标的相互作用都被考虑在内。
The effect of core excitation in the elastic scattering and breakup of a two-body halo nucleus on a stable target nucleus is studied. The structure of the weakly-bound projectile is described in the weak-coupling limit, assuming a particle-rotor model. The eigenfunctions and the associated eigenvalues are obtained by diagonalizing this Hamiltonian in a square-integrable basis (pseudo-states). For the radial coordinate between the particle and the core, a transformed harmonic oscillator (THO) basis is used. For the reaction dynamics, an extension of the Continuum-Discretized Coupled-Channels (C…
We apply the Lagrange-mesh method to discretize continuum states of weakly bound nuclei for continuum-discretized coupled-channel (CDCC) calculations of three-body breakup reactions. This discretization method is compared with the bin method, which is regarded as the standard continuum discretization method, for the $d$ and $^6$Li induced reactions. An improved Numerov algorithm is used to solve the coupled channels equations, which permits a fast integration of equations and a convenient treatment of the closed channels. A new CDCC model code named \emph{CDCC-R} is developed. In all cases, th…
Determining $B(E1)$ distributions of weakly bound nuclei from breakup cross sections using Continuum Discretized Coupled Channels calculations. Application to $^{11}$Be
The competition among reaction processes of a weakly-bound projectile at intermediate times of a slow collision has been unraveled. This has been done using a two-center molecular continuum within a semiclassical, time-dependent coupled-channel reaction model. Dynamical probabilities of elastic scattering, transfer and breakup agree with those derived from the direct integration of the time-dependent Schrödinger equation, demonstrating the usefulness of a two-center molecular continuum for gaining insights into the reaction dynamics of exotic nuclei.
Assessing continuum channel importance in continuum-discretized coupled-channels via dynamic polarization potential decomposition
School of Physics Science and Engineering, Tongji University（同济大学物理科学与工程学院）；Southern Center for Nuclear-Science Theory (SCNT), Institute of Modern Physics, Chinese Academy of Sciences（中国科学院近代物理研究所南方核科学理论中心）
Breakup reactions are one of the favored probes to study loosely bound nuclei, particularly those in the limit of stability forming a halo. In order to interpret such breakup experiments, the continuum discretized coupled channel method is typically used. In this study, the first Bayesian analysis of a breakup reaction model is performed. We use a combination of statistical methods together with a three-body reaction model (the continuum discretized coupled channel method) to quantify the uncertainties on the breakup observables due to the parameters in the effective potential describing the l…
Background: In the continuum-discretized coupled-channel method, a breakup cross section (BUX) is obtained as an admixture of several components of different channels in multi-channel scattering. Purpose: Our goal is to propose an approximate way of decomposing the discretized BUX into components of each channel. This approximation is referred to as the "probability separation (P-separation)". Method: As an example, we consider $^{11}$Be scattering by using the three-body model with core excitation ($^{10}\mathrm{Be}+n+\mathrm{T}$, where T is a target). The structural part is constructed by th…
The study of CNO cycle involves the examination of the proton radiative capture, or the $(p,γ)$ reactions below 2 MeV. The astrophysical $\mathcal{S}$ factor characterizing the $(p,γ)$ reaction is usually reduced to the electric dipole transition $E1$ from the scattering state to the bound state. In this work, the partial scattering and the single-particle bound wave functions in the reduced matrix element of the transition are obtained from the single self-consistent mean-field potential deduced from the Skyrme Hartree-Fock calculation. The astrophysical $\mathcal{S}$ factors of the $(p,γ)$ r…
