Coupled-Discretized-Continuum-Channels Method for Deuteron Breakup Reactions Based on Three-Body Model Justification of the Method for Truncation and Discretization of the p-n Continuum
Coupled-Discretized-Continuum-Channels Method for Deuteron Breakup Reactions Based on Three-Body Model Justification of the Method for Truncation and Discretization of the p-n Continuum
复制标题
基于三体模型的氘核分解反应耦合离散连续体通道法p-n连续体截断和离散化方法的论证
DOI：
10.1143/ptp.67.1467
复制
发表时间：
1982
影响因子：
--
通讯作者：
M. Kamimura
中科院分区：
文献类型：
--
作者：
M. Yahiro;M. Nakano;Y. Iseri;M. Kamimura
用线动量和角动量分别截断p-非连续态，分别询问≤kmax和l-≤lmax，并将p-非连续态离散到具有相同宽度Δk的动量盒中，从而引入有限个p-非连续态。通过对入射能量为80 MeV的+58Ni系统的关键检验，证明了该方法的有效性和实用性。在精确哈密顿量和绝热哈密顿量两种情况下，这些矩阵元素相对于Δ的收窄都是光滑和快速收敛的。在后一种情况下，显式地证明了收敛的S-矩阵元与精确S-矩阵元一致。当Δk=1/8fm-1时，分裂矩阵元充分收敛；当Δk=1/4fm-1时，弹性矩阵元充分收敛。这些矩阵元素也随着kmax和lmax的增加而快速收敛。物理上足够的截断由kmax∼1.0fm-1和lmax=2给出。
For the treatment of the deuteron breakup process, thep-ncontinuum states are truncated for linear and angular momenta ask≤kmaxandl≤lmax, respectively, and a finite number ofp-nbreakup channels are introduced by discretizing thep-ncontinuum into momentum bins with a common width Δk. Validity and usefulness of this method are shown through crucial examinations on thed+58Ni system at the deuteron incident energy of 80 MeV. TheS-matrix elements converge smoothly and rapidly with respect to narrowing Δkin the cases both of the exact Hamiltonian and the adiabatic Hamiltonian. In the latter case, it is explicitly shown that the convergedS-matrix elements agree with the exact ones. Sufficient convergence of the breakupS-matrix elements is seen at Δk= 1/8 fm-1and that of the elastic ones at Δk= 1/4 fm-1. TheS-matrix elements also converge quickly with respect to increasingkmaxandlmax. Physically sufficient truncation is given bykmax∼1.0 fm-1andlmax= 2.