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arXiv 1706.08306nucl-th
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氘:坐标空间中波函数的性质和解析形式

Deuteron: properties and analytical forms of wave function in coordinate space

V. I. Zhaba

摘要:

本文按时间顺序系统化了由各种势模型的波函数得到的氘核静态参数。在氘核径向波函数的坐标原点附近存在或不存在结。本文评述了坐标空间中氘波函数的解析形式。给出了氘核波函数的解析形式和参数化形式,这对于进一步计算含氘核过程的特性是必要的。此外,本文还分析了氘核波函数在坐标原点附近和大距离下的渐近行为。新的解析形式的数值计算系数的数量作为指数函数r^n与指数项Ai*exp(-ai*r^3)之和的乘积的最小化已经完成。N=7-10为最佳。

英文摘要:

Static parameters of the deuteron, obtained by the wave functions for various potential models, have been chronologically systematized. The presence or absence of knots near the origin of coordinates for the radial wave function of the deuteron have been shown. Analytical forms for the deuteron wave function in coordinate space have been reviewed. Both analytical forms and parameterizations of the deuteron wave function, which are necessary for further calculations of the characteristics of the processes involving the deuteron, have been provided. In addition, the asymptotic behaviors of deuteron wave function near the origin of coordinates and for large values of distance have been analyzed in the paper. Minimization of the number of numerically calculated coefficients for new analytical forms as a product of exponential function r^n by the sum of the exponential terms Ai*exp(-ai*r^3) have been done. The optimum is N=7-10.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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