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arxiv: 2604.18366 · v2 · submitted 2026-04-20 · ✦ hep-ph · hep-ex

Recognition: unknown

Two-body charmed anti-charmed baryonic B decays

Chun-Khiang Chua
Authors on Pith no claims yet

Pith reviewed 2026-05-10 03:59 UTC · model grok-4.3

classification ✦ hep-ph hep-ex
keywords B meson decayscharmed baryonstopological amplitudesSU(3) breakingtwo-body decaysexchange diagramsbaryonic decays
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0 comments X

The pith

Topological diagrams and fitted SU(3) breaking yield rate predictions for two-body charmed anti-charmed baryonic B decays.

A machine-rendered reading of the paper's core claim, the machinery that carries it, and where it could break.

The paper decomposes the decay amplitudes of B mesons into charmed and anti-charmed baryon pairs using the topological amplitude method. It models how SU(3) flavor symmetry breaking depends on where the strange quark appears in each diagram. Existing data are used to determine the sizes of tree and exchange contributions, revealing a large cancellation in the dominant low-lying channels. The resulting framework then supplies branching-ratio estimates for many unobserved modes involving both ground-state and excited baryons. These estimates carry sizable uncertainties that reflect the current limits of our knowledge about non-perturbative effects.

Core claim

In the low-lying B to Bc(3bar_f) Bcbar(3_f) decays the exchange diagram is sizable, a large cancellation occurs between internal W-tree and exchange W-tree amplitudes, and 35% SU(3) breaking effects are required that act differently across amplitudes; the same approach supplies rate predictions for the other three classes of two-body charmed anti-charmed baryonic modes once the breaking parameters are fixed from data.

What carries the argument

Topological amplitude decomposition, in which each decay amplitude is expressed as a sum of quark-line diagrams (internal W-tree, exchange W-tree, etc.) whose relative strengths are adjusted by SU(3)-breaking factors that depend on the position of the strange-quark line.

If this is right

  • The exchange diagram must be retained at leading size in any calculation of the low-lying Bc(3bar) Bcbar(3) rates.
  • A large cancellation between internal W-tree and exchange amplitudes suppresses many of these branching ratios.
  • 35% SU(3) breaking, acting differently on each amplitude, is required to match existing data and must be included in future predictions.
  • Rate predictions are provided for channels with excited baryons and for the three other topological classes once the breaking parameters are fixed.
  • Large uncertainties remain in most predicted rates until more data constrain the SU(3) breaking.

Where Pith is reading between the lines

These are editorial extensions of the paper, not claims the author makes directly.

  • The same topological framework can be applied to other baryonic B decays that involve different flavor changes once additional data become available.
  • Experimental measurements of the predicted modes at LHCb or Belle II would directly test the position-dependent SU(3) breaking ansatz.
  • If the large cancellation is confirmed, it would indicate that exchange diagrams play a more important role in baryonic than in mesonic B decays.

Load-bearing premise

SU(3) breaking effects on the amplitudes, depending on the position of the s-quark line, can be modeled phenomenologically and fitted to existing data to obtain reliable predictions for other channels.

What would settle it

A set of precise branching-ratio measurements for several low-lying B to Bc(3bar) Bcbar(3) modes that deviate from the fitted predictions by more than the quoted uncertainties would falsify the assumed SU(3) breaking model.

Figures

Figures reproduced from arXiv: 2604.18366 by Chun-Khiang Chua.

Figure 1
Figure 1. Figure 1: FIG. 1: Topological diagrams of (a) [PITH_FULL_IMAGE:figures/full_fig_p004_1.png] view at source ↗
Figure 2
Figure 2. Figure 2: FIG. 2: Internal [PITH_FULL_IMAGE:figures/full_fig_p007_2.png] view at source ↗
read the original abstract

We study the rates of two-body charmed anti-charmed baryonic $\overline B\to {\bf B}_c \overline {\bf B}_c$ decays using the topological amplitude approach. All amplitudes of $\overline B\to {\bf B}_c(\bf {\bar 3_f}) \overline {\bf B}_c(\bf { 3_f})$, ${\bf B}_c(\bf 6_f) \overline {\bf B}_c(\bf { 3_f})$, ${\bf B}_c(\bf {\bar 3_f}) \overline {\bf B}_c(\bf {\bar 6_f})$ and ${\bf B}_c(\bf 6_f) \overline {\bf B}_c(\bf {\bar 6_f})$ decays are decomposed topologically. SU(3) breaking effects on these amplitudes, depending on the position of the $s$-quark line, are modeled. Using existing data as inputs, we obtained the following results. (i) In the low-lying $\overline B\to {\bf B}_c(\bf {\bar 3_f}) \overline {\bf B}_c(\bf { 3_f})$ decays, we find that the exchange diagram is sizable. Furthermore, there is a large cancellation between internal $W$-tree and exchange $W$-tree amplitudes. The SU(3) breaking is sizable, 35% SU(3) breaking effects are needed, and they work differently in different amplitudes. The rates of $\overline B\to {\bf B}_c(\bf {\bar 3_f}) \overline {\bf B}_c(\bf { 3_f})$ decays with some excited ${\bf B}_c(\bf {\bar 3_f})$ are also studied. (ii) The $\overline B\to {\bf B}_c(\bf 6_f) \overline {\bf B}_c(\bf { 3_f})$ decays, with low-lying $ \overline {\bf B}_c(\bf { 3_f})$ and low-lying and some excited ${\bf B}_c(\bf 6_f)$ baryons are studied with some predictions on rates obtained. (iii) The $\overline B\to {\bf B}_c(\bf {\bar 3_f}) \overline {\bf B}_c(\bf {\bar 6_f})$ decays with low-lying charmed anti-charmed baryons are studied with some predictions on rates obtained. (iv) Uncertainties in most predicted rates are large, reflecting our current poor understanding of the related SU(3) breaking effects. Measuring these rates can provide very useful information about these effects.

Editorial analysis

A structured set of objections, weighed in public.

Desk editor's note, referee report, simulated authors' rebuttal, and a circularity audit. Tearing a paper down is the easy half of reading it; the pith above is the substance, this is the friction.

Referee Report

3 major / 2 minor

Summary. The paper applies the topological amplitude approach to two-body charmed anti-charmed baryonic B decays, decomposing all amplitudes for B to B_c(3bar_f) B_cbar(3_f), B_c(6_f) B_cbar(3_f), B_c(3bar_f) B_cbar(6_f) and B_c(6_f) B_cbar(6_f) channels. It introduces phenomenological SU(3)-breaking factors that depend on the position of the s-quark line, fits these parameters to existing data, and reports results including a sizable exchange diagram, large cancellation between internal W-tree and exchange W-tree amplitudes, and 35% SU(3) breaking in the low-lying anti-triplet sector, along with rate predictions for other sectors that carry large uncertainties.

Significance. If the topological decomposition and the fitted position-dependent SU(3) breaking remain valid, the work supplies a useful organizing framework for these suppressed baryonic decays and correctly flags the large uncertainties that future measurements can constrain. The explicit statement in the abstract that uncertainties are large and that 35% breaking acts differently across amplitudes is a positive feature that prevents overclaiming.

major comments (3)
  1. [Abstract / low-lying anti-triplet sector] Abstract and the low-lying B to B_c(3bar_f) B_cbar(3_f) analysis: the reported sizable exchange diagram and large cancellation between internal W-tree and exchange W-tree amplitudes are extracted after fitting the SU(3)-breaking parameters to the few available rates; the manuscript does not show that these conclusions survive under reasonable variations of the breaking parameterization or with additional data.
  2. [SU(3) breaking section] SU(3) breaking modeling: the position-dependent breaking factors are introduced phenomenologically and fitted; with limited input data the system is underconstrained, so the specific 35% magnitude and its differential action on different amplitudes are not demonstrated to be unique or robust.
  3. [Sections on other SU(3) representations] Predictions for B to B_c(6_f) B_cbar(3_f) and B to B_c(3bar_f) B_cbar(6_f) channels: these rates are obtained by applying the same fitted model, rendering them extrapolations rather than independent tests of the central claims about exchange contributions and cancellations.
minor comments (2)
  1. Notation for the baryon representations (3bar_f, 6_f, etc.) would benefit from an explicit table listing the ground-state particles in each multiplet.
  2. The abstract states that 'some predictions on rates obtained' but does not display numerical central values or error estimates in the provided text, making it difficult to judge the quantitative impact of the large uncertainties.

Simulated Author's Rebuttal

3 responses · 0 unresolved

We thank the referee for the careful reading and constructive comments on our manuscript. We address each major comment below and have revised the manuscript accordingly to improve clarity and address the concerns raised.

read point-by-point responses

  1. Referee: [Abstract / low-lying anti-triplet sector] Abstract and the low-lying B to B_c(3bar_f) B_cbar(3_f) analysis: the reported sizable exchange diagram and large cancellation between internal W-tree and exchange W-tree amplitudes are extracted after fitting the SU(3)-breaking parameters to the few available rates; the manuscript does not show that these conclusions survive under reasonable variations of the breaking parameterization or with additional data.

    Authors: We agree that the conclusions on the sizable exchange diagram and the cancellation between internal W-tree and exchange W-tree amplitudes are obtained from a fit to the limited existing data. In the revised manuscript we have added a sensitivity study in which the SU(3)-breaking parameters are varied within reasonable ranges around the central fit values. This analysis shows that the qualitative features persist, although the precise numerical values change. We also note that future experimental data will be needed to further test the robustness of these results. revision: yes

  2. Referee: [SU(3) breaking section] SU(3) breaking modeling: the position-dependent breaking factors are introduced phenomenologically and fitted; with limited input data the system is underconstrained, so the specific 35% magnitude and its differential action on different amplitudes are not demonstrated to be unique or robust.

    Authors: We acknowledge that the limited number of measured rates renders the fit underconstrained and that the 35% breaking magnitude is not demonstrated to be unique. The revised manuscript now includes an explicit discussion of the degrees of freedom in the fit, the range of breaking parameters consistent with the data, and the fact that the 35% value is the central result of the current fit rather than a uniquely determined quantity. The position-dependent nature of the breaking is retained as a phenomenological ansatz motivated by the s-quark line position. revision: yes

  3. Referee: [Sections on other SU(3) representations] Predictions for B to B_c(6_f) B_cbar(3_f) and B to B_c(3bar_f) B_cbar(6_f) channels: these rates are obtained by applying the same fitted model, rendering them extrapolations rather than independent tests of the central claims about exchange contributions and cancellations.

    Authors: We agree that the predictions for the 6_f and 6bar_f sectors are extrapolations obtained by applying the same fitted parameters. The revised text now states this explicitly and clarifies that these rates are model predictions to be tested by future measurements rather than independent validations of the exchange and cancellation claims. The large uncertainties already quoted in the original manuscript reflect this extrapolation character. revision: yes

Circularity Check

1 steps flagged

Fitted SU(3) breaking parameters (position-dependent on s-quark line) produce the claimed exchange size, W-tree cancellation, and 35% breaking as direct outputs rather than independent derivations

specific steps
  1. fitted input called prediction [Abstract]
    "Using existing data as inputs, we obtained the following results. (i) In the low-lying B̄→Bc(3̄f) B̄c(3f) decays, we find that the exchange diagram is sizable. Furthermore, there is a large cancellation between internal W-tree and exchange W-tree amplitudes. The SU(3) breaking is sizable, 35% SU(3) breaking effects are needed, and they work differently in different amplitudes."

    The 35% breaking magnitude, the relative size of the exchange diagram, and the degree of cancellation are not derived from first principles or external data; they are the numerical outcome of fitting the position-dependent SU(3)-breaking parameters to the same existing rates that serve as inputs. The 'results' are therefore the fit itself, and predictions for other channels inherit the identical fitted model.

full rationale

The paper decomposes amplitudes topologically then introduces phenomenological SU(3)-breaking factors that depend on s-quark position. These factors are adjusted to match the few existing rates; the resulting numerical values (sizable exchange diagram, large internal-W/exchange cancellation, 35% breaking that acts differently per amplitude) are then reported as findings. Subsequent rate predictions for unmeasured channels simply reuse the same fitted parameters. This matches the fitted-input-called-prediction pattern: the central claims reduce to the fit by construction, with no external constraint or first-principles derivation separating input from output. Uncertainties are acknowledged to be large precisely because the breaking model is underconstrained.

Axiom & Free-Parameter Ledger

1 free parameters · 1 axioms · 0 invented entities

The central results rest on the validity of the topological amplitude decomposition for these decays and on the ability to parameterize SU(3) breaking by s-quark line position and fit those parameters to data.

free parameters (1)
  • SU(3) breaking parameters = 35% in selected channels
    Modeled separately for each amplitude according to s-quark line position; 35% magnitude fitted to data in low-lying 3bar x 3 channels and stated to differ across amplitudes.
axioms (1)
  • domain assumption Topological amplitude decomposition applies to all B to Bc Bcbar channels in the listed SU(3) representations
    Invoked to decompose amplitudes for Bc(3bar) Bcbar(3), Bc(6) Bcbar(3), etc.

pith-pipeline@v0.9.0 · 5790 in / 1435 out tokens · 47412 ms · 2026-05-10T03:59:45.017279+00:00 · methodology

discussion (0)

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Reference graph

Works this paper leans on

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