Breakup Amplitudes from the Pseudostate Extension of the Coupled-Reaction-Channels Method

IF 1.7 4区 物理与天体物理 Q2 PHYSICS, MULTIDISCIPLINARY
Zeki C. Kuruoğlu
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引用次数: 0

Abstract

A pseudochannel extension of the coupled-reaction-channel (CRC) ansatz had been used in earlier work to simulate the effect of the breakup channel on the rearrangement amplitudes. Comparisons with benchmark results on model systems established that rearrangement amplitudes and total breakup probability could be obtained accurately. However, achieving the same level of accuracy with respect to the state-to-state breakup amplitudes had eluded the earlier attempts that used global bases to generate the pseudo states. With the global bases it is difficult to control the spectrum of pseudostate energies and to obtain an optimal distribution of these pseudo-levels. In the present work, local bases in momentum space of the type used in Finite Element methods are employed. Pseudostates are generated using a local interpolation basis in the relative momentum of the two-body subsystem. Local nature of such a basis allows us to control the density of two-body pseudostates by simply adjusting the distribution of the grid points. In the present work, it is demonstrated that breakup amplitudes can be extracted quantitatively using pseudostates generated from a basis of local piecewise quadratic interpolation polynomials. For a local-potential s-wave model of the \(\textrm{n}+\textrm{d}\) scattering, state-to-state breakup amplitudes obtained from the present approach are compared with the benchmark results available in the literature. Results further confirm that pseudostate-extended CRC method is a viable and efficient approach for three-particle scattering.

耦合反作用通道法伪态扩展的破裂振幅
摘要 早先的工作使用了耦合反应通道(CRC)解析的伪通道扩展来模拟破裂通道对重排振幅的影响。通过与模型系统的基准结果比较,可以准确地获得重排振幅和总破裂概率。然而,在使用全局碱基生成伪态的早期尝试中,却未能在状态间断裂振幅方面达到同样的精度。使用全局基时,很难控制伪态能量谱,也很难获得这些伪级的最佳分布。本研究采用了有限元方法中使用的动量空间局部基。利用双体子系统相对动量的局部插值基来生成伪态。这种基础的局部性使我们能够通过简单地调整网格点的分布来控制双体伪静态的密度。本研究证明,利用局部片断二次插值多项式基础生成的伪态,可以定量提取破裂振幅。对于局部电位 s 波模型的 (\textrm{n}\textrm{d}\)散射,将本方法得到的态间破裂振幅与文献中的基准结果进行了比较。结果进一步证实,伪静态扩展 CRC 方法是一种可行且高效的三粒子散射方法。
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来源期刊
Few-Body Systems
Few-Body Systems 物理-物理:综合
CiteScore
2.90
自引率
18.80%
发文量
64
审稿时长
6-12 weeks
期刊介绍: The journal Few-Body Systems presents original research work – experimental, theoretical and computational – investigating the behavior of any classical or quantum system consisting of a small number of well-defined constituent structures. The focus is on the research methods, properties, and results characteristic of few-body systems. Examples of few-body systems range from few-quark states, light nuclear and hadronic systems; few-electron atomic systems and small molecules; and specific systems in condensed matter and surface physics (such as quantum dots and highly correlated trapped systems), up to and including large-scale celestial structures. Systems for which an equivalent one-body description is available or can be designed, and large systems for which specific many-body methods are needed are outside the scope of the journal. The journal is devoted to the publication of all aspects of few-body systems research and applications. While concentrating on few-body systems well-suited to rigorous solutions, the journal also encourages interdisciplinary contributions that foster common approaches and insights, introduce and benchmark the use of novel tools (e.g. machine learning) and develop relevant applications (e.g. few-body aspects in quantum technologies).
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