REVIEW
Open-charm meson resonances with negative strangeness
High Energy Physics - Phenomenology · Submitted 26 Aug 2003 · 33 references
Pith's verdict: A well-specified coupled-channel calculation with genuine extrapolations, but the sharpest number (2352 MeV) is fragile and no uncertainties are propagated.
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Referee report
The paper
The paper claims
The same chiral interaction that already reproduces the newly discovered open-charm mesons should, once iterated to all orders and corrected at subleading order, also bind an antikaon to a $D$ meson, producing two new strange open-charm had
The reading
What carries the argument
The machinery is the coupled-channel Bethe-Salpeter scheme the authors call $��$-BS(3): the s-wave scattering amplitude is written as $M = [1 - V J]^{-1} V$, where $V$ is an effective interaction kernel and $J$ is a diagonal loop function. The kernel combines the Weinberg-Tomozawa term, three subleading contact terms proportional to $c_0$, $c_2$, $c_3$, and $s$- and $u$-channel heavy-meson exchange proportional to $g^2$. The loop function is subtracted at a scale chosen to be the physical heavy-meson mass in each channel, which is what gives the scheme its approximate crossing symmetry. The load-bearing move is that only three dimensionless parameters are free, and they are fixed once and for all in the sectors where data exist; everything in the strangeness-minus-one sector then follows without further tuning.
Extended reading notes
Core claim
The central claim is that the subleading chiral correction terms, once adjusted to the known open-charm spectrum, supply enough additional attraction to bind an antikaon at the $D(1867)$ and at the $D(2008)$. Concretely, the paper predicts a $J^P=0^+$ bound state at 2352 MeV and a $J^P=1^+$ bound state at 2416 MeV in the $(I,S)=(0,-1)$ sector, and in addition a narrow scalar of mass 2389 MeV with $(I,S)=(1/2,0)$ whose coupling to $�� D(1867)$ is suppressed below the level of about 1 MeV in width. The same computation reproduces the measured $D_s(2317)$ at $2317$ MeV, the $D(2420)$ at $2464$ MeV and the two $(1/2,0)$ states at 2300 and 2422 MeV, and it reproduces the shape of the BELLE $�� D$ and $�� D^*$ mass distributions. The authors also report a $(1,1)$ axial-vector resonance at 2445 MeV of width 70 MeV, and they note that no comparably clear scalar sextet signal appears in the $(1,1)$ sector.
Load-bearing premise
The load-bearing premise is that three subleading contact couplings fitted in the sectors where data exist carry over unchanged to the strangeness-minus-one sector, even though the separate scalar and axial-vector fits already return noticeably different values for those same couplings.
Editorial extensions
If this is right
- A $K^- D(1867)$ bound state should appear as a scalar resonance near 2352 MeV in the $(I,S)=(0,-1)$ channel.
- A $K^- D(2008)$ bound state should appear as an axial-vector resonance near 2416 MeV in the same channel.
- A narrow scalar at 2389 MeV with $(I,S)=(1/2,0)$ should exist but be nearly invisible in $\pi D(1867)$ spectra, so it must be sought in $\eta D(1867)$ via $\eta$-$\pi^0$ mixing or in the $\bar K D_s(1969)$ channel.
- The sextet assignment of the $D(2420)$ is what drives the extra binding; if that assignment is wrong, the predicted bound states lose their dynamical basis.
- The open-bottom analogue should be more strongly bound, since there the leading-order calculation already binds the isospin-zero $\bar K B$ system.
Reading between the lines
- The paper fits the subleading couplings separately in the scalar and axial-vector sectors and obtains visibly different values ($c_0 = 0.95$ versus $1.45$, $c_2 = -1.64$ versus $-2.13$, $c_3 = 1.6$ versus $2.45$); the spread between the two fits is a direct, quantifiable measure of how much heavy-quark symmetry is being broken, and hence of the systematic error that propagates into the predicted m
- Because the 2389 MeV state is engineered to decouple from $\pi D(1867)$, existing $B \to \pi D$ line-shape analyses cannot exclude it; a null result in that channel would not be evidence against the prediction, and the search has to be redirected to the $\eta D$ or $\bar K D_s$ final states.
- A lattice determination of the same three contact couplings in the strangeness-minus-one sector would turn the extrapolation assumption into a checkable number rather than a symmetry argument.
- If the states are confirmed, the natural next question is whether the same coupled-channel mechanism produces bound states with strangeness minus two or with bottomness, which would give a whole family rather than two isolated resonances.
Original abstract
We study heavy-light meson resonances with quantum numbers J^P=0^+ and J^P=1^+ in terms of the non-linear chiral SU(3) Lagrangian. Adjusting the free parameters that arise at subleading order to reproduce the mass of the D(2420) resonance as well as the new states established recently by the BABAR, CLEO and BELLE collaborations we obtain refined masses for the anti-triplet and sextet states. Bound states of antikaons at the D(1867) and D(2008) mesons are predicted at 2352 MeV (J^P=0^+) and 2416 MeV (J^P=1^+). In addition we anticipate a narrow scalar state of mass 2389 MeV with (I,S)=(1/2,0)
The compiled record
The paper's own sentences, arranged, kept beside the review and separate from it. Each label is drawn from a closed vocabulary; the number beside it is the probability the classifier gave that label. Numbers in the tables are the authors', checked by code. No sentence in this record was written by a model.
The abstract, sentence by sentence
We study heavy-light meson resonances with quantum numbers J^P=0^+ and J^P=1^+ in terms of the non-linear chiral SU(3) Lagrangian. Adjusting the free parameters that arise at subleading order to reproduce the mass of the D(2420) resonance as well as the new states established recently by the BABAR, CLEO and BELLE collaborations we obtain refined masses for the anti-triplet and sextet states. Bound states of antikaons at the D(1867) and D(2008) mesons are predicted at 2352 MeV (J^P=0^+) and 2416 MeV (J^P=1^+). In addition we anticipate a narrow scalar state of mass 2389 MeV with (I,S)=(1/2,0)
background contribution method result interpretation main claim
| # | sentence | role | the authors' own work | states the main conclusion | strength |
|---|---|---|---|---|---|
| s0 | We study heavy-light meson resonances with quantum numbers J^P=0^+ and J^P=1^+ in terms of the non-linear chiral SU(3) Lagrangian. | contribution 0.80 | 0.89 | 0.05 | asserted 0.94 |
| s1 | Adjusting the free parameters that arise at subleading order to reproduce the mass of the D(2420) resonance as well as the new states established recently by the BABAR, CLEO and BELLE collaborations we obtain refined masses for the anti-triplet and sextet states. | method 0.89 | 0.92 | 0.15 | asserted 1.00 |
| s2 | Bound states of antikaons at the D(1867) and D(2008) mesons are predicted at 2352 MeV (J^P=0^+) and 2416 MeV (J^P=1^+). | result 1.00 | 0.84 | 0.43 | asserted 0.72 |
| s3 | In addition we anticipate a narrow scalar state of mass 2389 MeV with (I,S)=(1/2,0) | result 0.99 | 0.82 | 0.16 | speculative 0.62 |
What was examined, and what was not
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Figures
Figures reproduced from arXiv:hep-ph/0308263 by the authors.
References
How the literature uses it
49 arXiv papers cite this in 102 sentences
Papers citing it · 60 sentences without a confident label
Contests it 1 paper
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One is traced as a misprint, in $C_WT$ of Tab. 2 of [ref] , in which the two entries $13$ and $22$ need to be interchanged (see [ref] ).
On chiral extrapolations of charmed meson masses and coupled-channel reaction dynamics · Low-energy constants from QCD lattice data · contest 0.85
Uses its method or tool 4 papers
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We apply the coupled-channel framework pioneered in [ref] which is based on the flavour SU(3) chiral Lagrangian.
On chiral extrapolations of charmed meson masses and coupled-channel reaction dynamics · Low-energy constants from QCD lattice data · 0.97
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In Fit 1-4 the coupled-channel framework established in [ref] was applied.
Coupled-channel dynamics with chiral long-range forces in the open-charm sector of QCD · From Lattice QCD data to low-energy constants · 0.99
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The LEC $h_1$ can be determined using the relation $B(m_s-m̂)=(M^2_K^0+M^2_K^+)/2-M^2_π^0$ as done in [ref] .
Light meson mass dependence of the positive parity heavy-strange mesons · Scattering amplitudes · 0.89
Uses its data or values 1 paper
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While the parameter $c_1$ can be estimated from the $D$ meson masses, the parameter $c_3$ is constrained by the empirical $πD$ invariant mass spectrum [ref] .
On chiral extrapolations of charmed meson masses and coupled-channel reaction dynamics · The chiral Lagrangian with open-charm meson fields · 0.86
Compares with it 4 papers
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We did a careful comparison of the three available sources for the flavour structure of the coupled-channel interaction [ref] .
On chiral extrapolations of charmed meson masses and coupled-channel reaction dynamics · Low-energy constants from QCD lattice data · 0.99
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These results are, though, less stable and contrast with previous works done where states with the same quantum numbers are narrower [ref] .
Meson Resonances in the Open and Hidden Charm Sectors · results · 0.94
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These results are, though, less stable and contrast with previous works done where states with the same quantum numbers are narrower [ref] .
The $e^+e^-\to J/\psi D \bar D$, $J/\psi D\bar D^*$ reactions with dynamically generated resonances · II. Framework · 0.89
Cites it as support 3 papers
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For instance, in Refs. [ref] , it was shown through the coupled-channel formalism that the $D_s0^*(2317)$ can indeed be dynamically generated.
$D_{s0}^*(2317)$ and $B_{s0}^*$ as molecular states · Introduction · 1.00
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we can explicitly see that in the proper expression below threshold, there is only one physical pole for the $DK$ system (no pole for the $DD$ system), [equation] This pole is interpreted as the $DK$ bound state, $D_s0^*(2317)$ which has been supported by both lattice QCD [ref] and phenomenological studies [ref] .
$DDK$ system in finite volume · 2-body part · 0.99
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This is in line with earlier conclusions [ref] .
On chiral excitations with exotic quantum numbers · Coupled-channel interactions from the chiral Lagrangian · 0.96
Cites it as background 23 papers
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The idea of generating dynamically resonances in order to describe the newly found charmed states is not new and had already been exploited in [ref] .
The $e^+e^-\to J/\psi D \bar D$, $J/\psi D\bar D^*$ reactions with dynamically generated resonances · I. Introduction · 0.85
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The $h_2$ and $h_3$ terms were introduced in Ref. [ref] .
Subleading contributions to the width of the D_{s0}*(2317) · Lagrangians at next-to-leading order · 0.85
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These range from conventional $c q$ models [ref] , tetraquark $cqq q$ interactions [ref] , molecular heavy-light meson-meson approaches [ref] to combinations of conventional quark models plus pure tetraquark or meson-meson molecules [ref] .
Properties of the $D_{s0}^*(2317)^\pm$ in hot and dense nuclear matter · Introduction · 1.00
Discussion
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