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Angular bremsstrahlung during $\alpha$-decay, emission from the internal region and unified formula of the bremsstrahlung probability

机译：在$ \ alpha $ -decay期间角度bre致辐射，从内部发射   bre致辐射概率的区域和统一公式

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Model of angular bremsstrahlung of photons emitted during $\alpha$-decay ispresented. A special emphasis is given on development of unified formalism ofmatrix elements in the dipole and multipolar approaches. A probability of theemission of photons calculated on the basis of the multipole model without anynormalization on experimental data (i. e. in absolute scale) is found at$90^{\circ}$ of the angle $\vartheta_{\alpha\gamma}$ between directions ofmotion of the $\alpha$-particle (with its tunneling under barrier) and emissionof photons to be in a good agreement with the newest experimental data for the$^{210}{\rm Po}$, $^{214}{\rm Po}$, and $^{226}{\rm Ra}$ nuclei. The spectrumfor $^{244}{\rm Cm}$ is found at $\vartheta_{\alpha\gamma} = 25^{\circ}$ to bein satisfactory agreement with high limit of errors of experimental data ofJapanese group. A comparative analysis for the spectra calculated for$^{210}{\rm Po}$ by the multipole and dipole approaches in the absolute scaleand with normalization on experimental data is performed. The emission ofphotons from the internal well in the dipole approach is found to be not smallwhile the multipolar approach does not show such a strong dependence.Distribution of the bremsstrahlung probability on the numbers of protons andnucleons of the $\alpha$-decaying nucleus in selected region close to$^{210}{\rm Po}$ is obtained. An unified formula of the bremsstrahlungprobability during the $\alpha$-decay of arbitrary nucleus expressed directlythrough the $Q_{\alpha}$-value and numbers $A_{p}$, $Z_{p}$ of nucleons andprotons of this nucleus is proposed.
机译：给出了α衰变过程中发出的光子的角致辐射模型。特别强调了偶极和多极方法中矩阵元素统一形式主义的发展。发现在多极模型的基础上没有对实验数据进行任何归一化而计算出的光子发射概率（即绝对尺度）是在方向之间的角度$ \ vartheta _ {\ alpha \ gamma} $的$ 90 ^ {\ circ} $ α粒子的运动（在势垒下隧穿）和光子发射与$ ^ {210} {\ rm Po} $，$ ^ {214} { \ rm Po} $和$ ^ {226} {\ rm Ra} $原子核。发现$ ^ {244} {\ rm Cm} $的光谱为$ \ vartheta _ {\ alpha \ gamma} = 25 ^ {\ circ} $，这与日文组实验数据的误差上限具有令人满意的一致性。对通过多极和偶极方法在绝对尺度上针对$ ^ {210} {\ rm Po} $计算的光谱进行了比较分析，并对实验数据进行了归一化。发现偶极子方法从内部阱发射的光子不少，而多极子方法却没有显示出如此强的依赖性。the致辐射概率对所选selected衰变核中质子和核子数量的分布获得接近$ ^ {210} {\ rm Po} $的区域。任意原子核的衰变过程中stra致辐射概率的统一公式，直接通过$ Q _ {\ alpha} $值和该原子核的质子数和质子数$ A_ {p} $，$ Z_ {p} $表示被提议。

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    Maydanyuk, Sergei P.;

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