Exotic open-flavor<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mrow><mml:mi>b</mml:mi><mml:mi>c</mml:mi><mml:mover accent="true"><mml:mrow><mml:mi>q</mml:mi></mml:mrow><mml:mrow><mml:mo stretchy="false">¯</mml:mo></mml:mrow></mml:mover><mml:mover accent="true"><mml:mrow><mml:mi>q</mml:mi></mml:mrow><mml:mrow><mml:mo stretchy="false">¯</mml:mo></mml:mrow></mml:mover></mml:mrow></mml:math>,<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mi>b</mml:mi><mml:mi>c</mml:mi><mml:mover accent="true"><mml:mi>s</mml:mi><mml:mo stretchy="false">¯</mml:mo></mml:mover><mml:mover accent="true"><mml:mi>s</mml:mi><mml:mo stretchy="false">¯</mml:mo></mml:mover></mml:math>and<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mi>q</mml:mi><mml:mi>c</mml:mi><mml:mover accent="true"><mml:mi>q</mml:mi><mml:mo stretchy="false">¯</mml:mo></mml:mover><mml:mover accent="true"><mml:mi>b</mml:mi><mml:mo stretchy="false">¯</mml:mo></mml:mover></mml:math>,<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mi>s</mml:mi><mml:mi>c</mml:mi><mml:mover accent="true"><mml:mi>s</mml:mi><mml:mo stretchy="false">¯</mml:mo></mml:mover><mml:mover accent="true"><mml:mi>b</mml:mi><mml:mo stretchy="false">¯</mml:mo></mml:mover></mml:math>tetraquark states
Bibliographic record
Abstract
We study the exotic $bc\overline{q}\overline{q}$, $bc\overline{s}\overline{s}$ and $qc\overline{q}\overline{b}$, $sc\overline{s}\overline{b}$ systems by constructing the corresponding tetraquark currents with ${J}^{P}={0}^{+}$ and ${1}^{+}$. After investigating the two-point correlation functions and the spectral densities, we perform QCD sum rule analysis and extract the masses of these open-flavor tetraquark states. Our results indicate that the masses of both the scalar and axial vector tetraquark states are about 7.1--7.2 GeV for the $bc\overline{q}\overline{q}$ system and 7.2--7.3 GeV for the $bc\overline{s}\overline{s}$ system. For the $qc\overline{q}\overline{b}$ tetraquark states with ${J}^{P}={0}^{+}$ and ${1}^{+}$, their masses are extracted to be around 7.1 GeV. The masses for the scalar and axial vector $sc\overline{s}\overline{b}$ states are 7.1 and 6.9--7.1 GeV, respectively. The tetraquark states $qc\overline{q}\overline{b}$ and $sc\overline{s}\overline{b}$ lie below the thresholds of ${D}^{(*)}{B}^{(*)}$ and ${D}_{s}^{(*)}{B}_{s}^{(*)}$ respectively, but they can decay into ${B}_{c}$ plus a light meson. However, the tetraquark states $bc\overline{q}\overline{q}$ and $bc\overline{s}\overline{s}$ lie below the ${D}^{(*)}{\overline{B}}^{(*)}$ and ${D}_{s}^{(*)}{\overline{B}}_{s}^{(*)}$ thresholds, suggesting dominantly weak decay mechanisms.
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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 | 0.009 | 0.010 |
| Meta-epidemiology (narrow) | 0.007 | 0.012 |
| Meta-epidemiology (broad) | 0.003 | 0.012 |
| Bibliometrics | 0.003 | 0.007 |
| Science and technology studies | 0.009 | 0.010 |
| Scholarly communication | 0.010 | 0.010 |
| Open science | 0.013 | 0.012 |
| Research integrity | 0.012 | 0.011 |
| Insufficient payload (model declined to judge) | 0.155 | 0.009 |
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".