# Spectroscopic factor and proton formation probability for the d3/2 proton emitter 151mLu

## TL;DR

This study remeasured proton emission properties of $^{151m}$Lu, resolving previous discrepancies in spectroscopic factors and showing no significant hindrance in proton decay through R-matrix analysis.

## Contribution

The paper provides new experimental data on proton decay energy and half-life of $^{151m}$Lu, clarifying the spectroscopic factor discrepancy and applying R-matrix theory to assess decay hindrance.

## Key findings

- Proton decay energy measured at 1295 keV
- Half-life determined as 15.4 microseconds
- No significant hindrance in proton decay

## Abstract

The quenching of the experimental spectroscopic factor for proton emission from the short-lived $d_{3/2}$ isomeric state in $^{151m}$Lu was a long-standing problem. In the present work, proton emission from this isomer has been reinvestigated in an experiment at the Accelerator Laboratory of the University of Jyv\"{a}skyl\"{a}. The proton-decay energy and half-life of this isomer were measured to be 1295(5) keV and 15.4(8) $\mu$s, respectively, in agreement with another recent study. These new experimental data can resolve the discrepancy in the spectroscopic factor calculated using the spherical WKB approximation. Using the R-matrix approach it is found that the proton formation probability indicates no significant hindrance for the proton decay of $^{151m}$Lu.