精确确定113Sn衰变的电子捕获Q值，与电子中微子质量测量相关
Precise determination of electron-capture $Q$ value of $^{113}$Sn decay related to electron neutrino mass measurements
AI总结：
通过JYFLTRAP双Penning陷阱质谱仪高精度测量113Sn到113In的基态到基态过渡的电子捕获Q值，确定113Sn的同位素态并提升Q值测量精度，为中微子质量研究提供新方法。
摘要：
利用相成像离子回旋共振技术，通过JYFLTRAP双Penning陷阱质谱仪高精度测量了113Sn基态到基态过渡的电子捕获（EC）衰变Q值。确定113Sn同位素态在77.389(19) keV处，并测得同位素到基态的Q值为1116.64(19) keV，基态到基态的Q值为1039.25(19) keV。113Sn的原子质量过剩确定为-88327.87(27) keV/c²，与AME2020一致但精度提升六倍。利用113In的核能级数据，识别出113Sn基态到113In激发态的两个低Q值跃迁，分别为1024.280(50) keV（Q_EC* = 14.97(20) keV，第二禁止非唯一）和1029.650(50) keV（Q_EC* = 9.60(20) keV，允许）。允许跃迁表现出较小的能量差（Δ_L1 = 5.58(20) keV，Δ_L2 = 5.87(20) keV）来自L1和L2壳层结合能，增强终点事件。使用自洽的狄拉克-哈特里-福克-斯莱特（DHFS）方法（包括交换、重叠、shake-up和shake-off修正）和核壳模型计算部分半衰期和能量释放光谱，显示允许跃迁到1029.650 keV状态的增强终点灵敏度。包括亚阈值原子态在光谱函数中可使EC速率在零中微子动量区域附近提高五倍，为低Q值EC反应在中微子质量研究中提供新方法。
英文摘要：
A high-precision measurement of the electron-capture (EC) decay $Q$ value for the ground-state-to-ground-state (gs-to-gs) transition of $^{113}$Sn to $^{113}$In has been performed using the JYFLTRAP double Penning trap mass spectrometer. Employing the phase-imaging ion-cyclotron-resonance technique, the isomeric state of $^{113}$Sn at 77.389(19) keV was resolved, and the cyclotron frequency ratio measured between the isomer $^{113m}$Sn and the daughter nucleus $^{113}$In. This yielded an isomer-to-ground-state $Q$ value of 1116.64(19) keV and gs-to-gs $Q$ value of 1039.25(19) keV. The atomic mass excess of $^{113}$Sn was determined as $-$88327.87(27) keV/c$^2$, in excellent agreement with the Atomic Mass Evaluation 2020 (AME2020) but with a sixfold precision improvement. Using nuclear energy-level data for $^{113}$In, we identified two low $Q$-value transitions of the ground state of $^{113}$Sn to excited states of $^{113}$In at 1024.280(50) keV ($Q_{EC}^* = 14.97(20)$ keV, second forbidden non-unique) and 1029.650(50) keV ($Q_{EC}^* = 9.60(20)$ keV, allowed). The allowed transition exhibits small energy differences ($Δ_{L1} = 5.58(20)$ keV, $Δ_{L2} = 5.87(20)$ keV) from L1 and L2 shell binding energies, enhancing endpoint events. Partial half-lives and energy-release spectra were calculated using the self-consistent Dirac-Hartree-Fock-Slater (DHFS) method (including exchange, overlap, shake-up, and shake-off corrections) together with the nuclear shell model, show enhanced endpoint sensitivity for the allowed transition to the state at 1029.650 keV. Including subthreshold atomic states in the spectral function enhances the EC rate near the zero-neutrino-momentum region by a factor of five, enabling new approaches for low $Q$-value EC reactions in neutrino-mass studies.
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