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Phase Shift Analysis in Nuclear Astrophysics and Three-Body Model for Some Nuclei Part II. Phase Shift Analysis, 97-302

机译：核天体物理学中的相移分析和某些核的三体模型第二部分。相移分析，97-302

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摘要

In many problems of the nuclear physics at low energies and nuclear astrophysics the knowledge of the scattering elastic phase shifts, which can be determined from the differential cross sections of scattering of the various nuclear particles is required [1]. Such phase shifts are used, in particular, for construction of the intercluster interaction potentials, for example, in the potential cluster model (PCM) of easy light nuclei [2], The procedure of the phase shift analysis consists in the decomposition of the total scattering amplitude in a row by the partial waves or amplitudes and the analysis of the parameters appearing at the same time, which are called the scattering phase shifts. Such phase shifts allow one to obtain the data about the nature of strong interactions, the structure of resonance states and the general structure of an atomic nucleus [1]. The two-body processes with the formation of resonances in the nuclear physics at low energies also can be investigated by the means of the phase shift analysis. To solve this problem it is necessary to consider in details the energy behavior of the resonance partial scattering amplitude [1,3]. As a result, the phase shift analysis plays a large role in the search of nuclear resonances of the scattering processes and determination of their quantum numbers. The research of the scattering processes by the means of the phase shift analysis allows one to clarify many important aspects of the interactions of nuclear particles, because this analysis is based only on the most general conservation laws and is closely connected with experimental data [1,3]. The problem of determination or extraction of the nuclear phase shifts from the cross sections of elastic scattering in the mathematical plan is reduced to a multiple parameter variation problem. In other words, when the experimental scattering cross sections of nuclear particles and mathematical expressions obtained in the quantum mechanics, which describe these cross sections depending on some 5l parameters - nuclear scattering phase shifts are known, there is a multiple parameter variation problem of finding of these parameters on the set interval of values taking into account the generalized LeVinson's theorem [4]. In different nuclear systems depending on the energy of the colliding particles, the number of Thus, the used algorithms of the application of the numerical methods for finding of the specific solutions of the general multiparameter variation problem for the functionality of %2, which determines the accuracy of the description of the experimental data on the basis of the chosen theoretical representation, allows one to define quite unambiguously scattering phase shifts the of nuclear particles [10]. The used methods and algorithms have allowed to obtain new results for the phase shift analysis in the elastic n~3He, p~6Li, p~(12)C, n~(12)C, p~(13)C, p~(14)C, n~(16)O, p~(16)O, ~4He~4He and ~4He~(l2)C scattering at any low energies, including, astrophysical.
机译：在低能核物理学和核天体物理学的许多问题中，需要散射弹性相移的知识，该知识可以根据各种核粒子的散射的微分截面来确定[1]。这种相移特别是用于构建簇间相互作用势，例如在易轻核的势簇模型（PCM）中[2]。相移分析的过程在于分解总和。由部分波或振幅连续散射的振幅以及同时出现的参数的分析，这称为散射相移。这种相移使人们可以获得有关强相互作用的性质，共振态的结构以及原子核的一般结构的数据[1]。还可以通过相移分析的方法研究在低能状态下在核物理学中形成共振的两体过程。为了解决这个问题，有必要详细考虑共振部分散射幅度[1,3]的能量行为。结果，相移分析在寻找散射过程的核共振和确定其量子数方面起着重要作用。通过相移分析对散射过程的研究可以使人们澄清核粒子相互作用的许多重要方面，因为这种分析仅基于最一般的守恒定律，并且与实验数据紧密相关[1， 3]。从数学计划中的弹性散射的横截面确定或提取核相移的问题被简化为多参数变化问题。换句话说，当核粒子的实验散射横截面和在量子力学中获得的数学表达式（根据某些5l参数描述这些横截面-已知核散射相移）时，存在发现这些参数在设定的值区间上考虑了广义LeVinson定理[4]。在不同的核系统中，取决于碰撞粒子的能量，其数量为。因此，应用数值方法的算法为％2的功能找到一般的多参数变化问题的特定解，从而确定了在选择的理论表示的基础上对实验数据进行描述的准确性，使人们可以明确定义核粒子的散射相移[10]。所使用的方法和算法为弹性n〜3He，p〜6Li，p〜（12）C，n〜（12）C，p〜（13）C，p〜 （14）C，n〜（16）O，p〜（16）O，〜4He〜4He和〜4He〜（l2）C在任何低能量（包括天体物理学）上的散射。

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  • 来源
    《Hadronic Journal》 |2019年第2期|A1-A2100-302|共205页
  • 作者

    Dubovichenko Sergey Borisovich;

  • 作者单位

    Fesenkov Astrophysical Institute - Observatory 23, Kamenskoe plato, 050020, Almaty, Republic of Kazakhstan;

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