We study the $\alpha$-decay energies ($Q_{\alpha }$) taken from the Atomic Mass Evaluation 2016 within the valence correlation scheme (VCS). A linear trajectory of $\alpha$-decay energies, derived from the VCS for nucleon separation energies, is put forward in terms of $\pm \alpha N_{\mathrm{p}}\mp \beta N_{\mathrm{n}}(N_{\mathrm{p}}$ and $N_{\mathrm{n}}$ are the valence proton and neutron numbers, respectively, counted as particles or holes from the nearest shell closure). It is applicable well to all available $\alpha$ emitters including even-even, odd-$A$, and odd-odd nuclei. This relationship can be understood via the Taylor expansion method based on the Bethe-Weizsäcker (BW) mass formula, leading to the recognition on the origin of the $\alpha$-decay energy to some extent as well. In fact, the present study can not only reconfirm the similar linear dependence of nucleon separation energies in the VCS, but also exhibit a regular pattern of $\alpha$-decay energy and provide a reasonable estimation on unknown $Q_{\alpha }$ values.

中文翻译：

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价相关方案中的α衰变能量系统

我们研究 $\alpha$衰减能量（${问}_{\alpha }$）取自化合价相关方案（VCS）中的2016原子质量评估。的线性轨迹$\alpha$从VCS导出的用于核子分离能量的衰变能量是根据 $\pm \alpha {ñ}_{\mathrm{p}}\mp \beta {ñ}_{\mathrm{ñ}}（{ñ}_{\mathrm{p}}$ 和 ${ñ}_{\mathrm{ñ}}$分别是价质子和中子数，从最近的壳封闭处算作颗粒或空穴）。它适用于所有可用$\alpha$ 包括偶数，奇数，$\mathrm{一种}$和奇核。这种关系可以通过基于Bethe-Weizsäcker（BW）质量公式的泰勒展开法来理解，从而可以识别出$\alpha$-也在一定程度上衰减能量。实际上，本研究不仅可以证实VCS中类似的核子分离能线性依赖关系，而且还表现出规则的$\alpha$衰减能量并对未知量进行合理估计 ${问}_{\alpha }$ 价值观。