First <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"><mml:mi>β</mml:mi></mml:math>-decay spectroscopy of <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"><mml:mmultiscripts><mml:mi>In</mml:mi><mml:mprescripts/><mml:none/><mml:mn>135</mml:mn></mml:mmultiscripts></mml:math> and new <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"><mml:mi>β</mml:mi></mml:math>-decay branches of <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"><mml:mmultiscripts><mml:mi>In</mml:mi><mml:mprescripts/><mml:none/><mml:mn>134</mml:mn></mml:mmultiscripts></mml:math>
Bibliographic record
Abstract
The $\ensuremath{\beta}$ decay of the neutron-rich $^{134}\mathrm{In}$ and $^{135}\mathrm{In}$ was investigated experimentally in order to provide new insights into the nuclear structure of the tin isotopes with magic proton number $Z=50$ above the $N=82$ shell. The $\ensuremath{\beta}$-delayed $\ensuremath{\gamma}$-ray spectroscopy measurement was performed at the ISOLDE facility at CERN, where indium isotopes were selectively laser-ionized and on-line mass separated. Three $\ensuremath{\beta}$-decay branches of $^{134}\mathrm{In}$ were established, two of which were observed for the first time. Population of neutron-unbound states decaying via $\ensuremath{\gamma}$ rays was identified in the two daughter nuclei of $^{134}\mathrm{In}, ^{134}\mathrm{Sn}$ and $^{133}\mathrm{Sn}$, at excitation energies exceeding the neutron separation energy by 1 MeV. The $\ensuremath{\beta}$-delayed one- and two-neutron emission branching ratios of $^{134}\mathrm{In}$ were determined and compared with theoretical calculations. The $\ensuremath{\beta}$-delayed one-neutron decay was observed to be dominant $\ensuremath{\beta}$-decay branch of $^{134}\mathrm{In}$ even though the Gamow-Teller resonance is located substantially above the two-neutron separation energy of $^{134}\mathrm{Sn}$. Transitions following the $\ensuremath{\beta}$ decay of $^{135}\mathrm{In}$ are reported for the first time, including $\ensuremath{\gamma}$ rays tentatively attributed to $^{135}\mathrm{Sn}$. In total, six new levels were identified in $^{134}\mathrm{Sn}$ on the basis of the $\ensuremath{\beta}\ensuremath{\gamma}\ensuremath{\gamma}$ coincidences observed in the $^{134}\mathrm{In}$ and $^{135}\mathrm{In}\phantom{\rule{4pt}{0ex}}\ensuremath{\beta}$ decays. A transition that might be a candidate for deexciting the missing neutron single-particle $13/{2}^{+}$ state in $^{133}\mathrm{Sn}$ was observed in both $\ensuremath{\beta}$ decays and its assignment is discussed. Experimental level schemes of $^{134}\mathrm{Sn}$ and $^{135}\mathrm{Sn}$ are compared with shell-model predictions. Using the fast timing technique, half-lives of the ${2}^{+}, {4}^{+}$, and ${6}^{+}$ levels in $^{134}\mathrm{Sn}$ were determined. From the lifetime of the ${4}^{+}$ state measured for the first time, an unexpectedly large $B(E2;{4}^{+}\ensuremath{\rightarrow}{2}^{+})$ transition strength was deduced, which is not reproduced by the shell-model calculations.
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How this classification was reachedexpand
Full frame distilled prediction
Teacher imitationNot calibrated prevalence, not ground truth. Human validation pending. Learned from the 10,348 direct Codex labels and 10,348 direct Gemma labels. Candidate is the union of thresholded teacher heads; consensus is their intersection. These outputs are machine_predicted_unvalidated and are not human labels or direct frontier model labels.
Codex and Gemma teacher scores by category
| Category | Codex | Gemma |
|---|---|---|
| Metaresearch | 0.007 | 0.005 |
| Meta-epidemiology (narrow) | 0.006 | 0.009 |
| Meta-epidemiology (broad) | 0.004 | 0.009 |
| Bibliometrics | 0.002 | 0.005 |
| Science and technology studies | 0.006 | 0.008 |
| Scholarly communication | 0.005 | 0.007 |
| Open science | 0.010 | 0.012 |
| Research integrity | 0.007 | 0.010 |
| Insufficient payload (model declined to judge) | 0.008 | 0.011 |
Machine scores (provisional)
The two teacher heads of the student model, read on this work. A score orders the frame for review; it never asserts a category, and the validation status ships verbatim with every row.
Baseline scores from an immature model (maturity gate not passed, 7 training rounds). Scores rank; they never assert a category.
score_only:v0-immature-baseline · verbatim from the scoring run: score_only means the number may rank works, and no category label ships from itClassification
machine, unvalidatedMachine predicted; both teacher heads agree on what is shown here.
How this classification was reached, model by model and score by score, is at the end of the page under "How this classification was reached".