The measurement of the Tc -decay spectrum and its implications for the effective value of weak axial coupling
J. W. Song🇰🇷 · M. Ramalho🇫🇮 · M. K. Lee🇰🇷 · G. B. Kim🇺🇸 · I. Kim🇺🇸 · H. L. Kim🇺🇸 · Y. C. Lee🇰🇷 · K. R. Woo🇰🇷 · J. Kotila🇫🇮 · J. Kostensalo🇫🇮 · J. Suhonen🇫🇮 · H. J. Kim🇰🇷
Measurements of -spectral shapes is an important way to examine the effective value of the weak axial coupling . These stu\ dies focus specifically on forbidden non-unique transitions, as only in these cases is the spectral shape directly sensitive to th\ e ratio . Here, the value of the weak vector coupling constant, , is fixed at 1.0 according to the Conserve\ d Vector Current (CVC) hypothesis. In previous studies for the fourth-forbidden non-unique decays of Cd [J.~Kostensalo \textit{et al.}, Phys. Lett. B 822, 136652 (2021)] and In [A.~F. Leder \textit{et al.}, Phys. Rev. Lett. 129, 232502 \ (2022) and L. Pagnanini \textit{et al.}, Phys. Rev. Lett. 133, 122501 (2024)] a quenched value was determined for the ratio using . A notable exception is the recent measurement and analysis of the second-forbidden non-unique -decay transition in Tc, performed by M. Paulsen \textit{et al.}, Phys. Rev. C 110, 05503(2024). Where an enhanced ratio was suggested. To resolve this apparently contradictory situation with the effective value of , we hav\ e performed calculations based on the nuclear shell model (NSM) Hamiltonians glekpn, jj45pnb, and the MQPM approach with a careful considera\ tion of the small relativistic vector nuclear matrix element (sNME). The theoretical spectra were compared to the Tc -decay sp\ ectrum by using the 4 gold absorber with a Metallic Magnetic Calorimeter (MMC). In all cases, we found that the data matches well with \ reduced / values of 1.0--1.2. Our result contradicts the previously reported measurement for Tc and instead sup\ ports a quenched axial coupling as reported for other isotopes.