通过分析${R}$$-矩阵的连续性确定渐近归一化系数

IF 0.3 4区物理与天体物理 Q4 PHYSICS, NUCLEAR

Physics of Atomic Nuclei Pub Date : 2024-07-06 DOI:10.1134/S1063778824700042

L. D. Blokhintsev, D. A. Savin

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引用次数: 0

摘要

摘要根据描述弹性核散射进入碰撞负能量（$E<0$）非物理区域的$R$-矩阵的解析延续，提出了求渐近归一化系数（ANC）值的方法。该公式通过 $R$-matrix 和修正库仑函数来表达部分波散射振幅。如果存在库仑相互作用，该公式可以在继续计算$E<0$区域的振幅时，克服与$E=0$附近散射振幅的不规则行为相关的困难。所提出的方法用于确定通道 ${}^{16}\textrm{O}\to\alpha+{}^{12}$C的ANC。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

$Determination of Asymptotic Normalization Coefficients by Analytic Continuation of the ${R}$-Matrix$

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Determination of Asymptotic Normalization Coefficients by Analytic Continuation of the ${R}$-Matrix

The method of finding the values of asymptotic normalization coefficients (ANC) is proposed based on the analytic continuation of the $R$-matrix that describes the elastic nuclear scattering into the unphysical region of the negative energy of collision ($E<0$). The formula is derived, expressing the partial-wave scattering amplitude through the $R$-matrix and modified Coulomb functions. This formula allows, when continuing the amplitude to the region $E<0$, to overcome difficulties associated with irregular behavior of the scattering amplitude near $E=0$ if the Coulomb interaction is present. The proposed method is used to determine the ANC for the channel ${}^{16}\textrm{O}\to\alpha+{}^{12}$C.

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来源期刊

Physics of Atomic Nuclei 物理-物理：核物理

CiteScore

0.60

自引率

25.00%

发文量

审稿时长

3-6 weeks

期刊介绍： Physics of Atomic Nuclei is a journal that covers experimental and theoretical studies of nuclear physics: nuclear structure, spectra, and properties; radiation, fission, and nuclear reactions induced by photons, leptons, hadrons, and nuclei; fundamental interactions and symmetries; hadrons (with light, strange, charm, and bottom quarks); particle collisions at high and superhigh energies; gauge and unified quantum field theories, quark models, supersymmetry and supergravity, astrophysics and cosmology.