Chiral Dynamics and Heavy Quark Symmetry in a Toy Field Theoretic Model

Christopher T. Hill; William A. Bardeen

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Chiral Dynamics and Heavy Quark Symmetry in a Toy Field Theoretic Model

High Energy Physics - Phenomenology · Submitted 16 Apr 1993

abstract compiled · 2026-09-23 · no language-model review

The authors' main claim Consequently the mass difference of the two multiplets is given by a Goldberger--Treiman relation and $g_A$ is found to be small.

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arXiv IDhep-ph/9304265 (version 1)

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CitationChristopher T. Hill, William A. Bardeen. "Chiral Dynamics and Heavy Quark Symmetry in a Toy Field Theoretic Model." arXiv:hep-ph/9304265 (1993). https://pith.science/paper/C7E6JAZO

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What the abstract itself states, as probabilities: claims first 0.03 · states limitation 0.13 · human participants 0.01 · controlled comparison 0.02 · randomized assignment 0.01 · states quantitative result 0.09 · compares with prior results 0.05 · mentions code or data availability 0.02.

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arXiv listing abstract v1. Results and the main claim are underlined; show every role.

We study a solvable QCD--like toy theory, a generalization of the Nambu--Jona-Lasinio model, which implements chiral symmetries of light quarks and heavy quark symmetry. The chiral symmetric and chiral broken phases can be dynamically tuned. This implies a parity doubled heavy--light meson system, corresponding to a $(0^-,1^-)$ multiplet and a $(0^+,1^+)$ heavy spin multiplet. Consequently the mass difference of the two multiplets is given by a Goldberger--Treiman relation and $g_A$ is found to be small. The Isgur--Wise function, $\xi(w)$, the decay constant, $f_B$, and other observables are studied.

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What the classifier reports for each sentence. The number is the probability it gave the label.
#	sentence	role	the authors' own work	states the main conclusion	strength
s0	We study a solvable QCD--like toy theory, a generalization of the Nambu--Jona-Lasinio model, which implements chiral symmetries of light quarks and heavy quark symmetry.	contribution 0.89	0.87	0.07	asserted 1.00
s1	The chiral symmetric and chiral broken phases can be dynamically tuned.	result 0.63	0.47	0.09	asserted 0.94
s2	This implies a parity doubled heavy--light meson system, corresponding to a $(0^-,1^-)$ multiplet and a $(0^+,1^+)$ heavy spin multiplet.	interpretation 0.87	0.52	0.21	asserted 0.95
s3	Consequently the mass difference of the two multiplets is given by a Goldberger--Treiman relation and $g_A$ is found to be small.	result 0.95	0.89	0.36	asserted 1.00
s4	The Isgur--Wise function, $\xi(w)$, the decay constant, $f_B$, and other observables are studied.	contribution 0.99	0.90	0.08	asserted 0.95

What kind of paper the classifier reports this is: theoretical result 1.00 · evidence from proof or derivation 0.98.

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Every quoted sentence on this record is the authors'. Every label is from Pith's closed vocabulary, with the probability shown beside it. Every number in the measurements table is the authors', checked by code. Record as JSON

The paper

Original abstract

We study a solvable QCD--like toy theory, a generalization of the Nambu--Jona-Lasinio model, which implements chiral symmetries of light quarks and heavy quark symmetry. The chiral symmetric and chiral broken phases can be dynamically tuned. This implies a parity doubled heavy--light meson system, corresponding to a $(0^-,1^-)$ multiplet and a $(0^+,1^+)$ heavy spin multiplet. Consequently the mass difference of the two multiplets is given by a Goldberger--Treiman relation and $g_A$ is found to be small. The Isgur--Wise function, $\xi(w)$, the decay constant, $f_B$, and other observables are studied.

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References

Forward citations

Cited by 9 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

A Phenomenological Model of Mesons for Charged Current Weak Decays
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Light pentaquark wavefunctions are constructed from permutation symmetry, and a nucleon-pentaquark mixing model yields a five-quark Fock probability P5q of order 0.4.
Masses and decay constants of the $D_{s0}^*(2317)$ and $D_{s1}(2460)$ from $N_f=2$ lattice QCD close to the physical point
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A six-ensemble lattice QCD study at a = 0.07 fm extracts the DK and D*K scattering lengths, the infinite-volume masses of the D*_s0(2317) and D_s1(2460), and their weak decay constants, f_V = 114(2)(0)(+5)(10) MeV and...
Strong and radiative decays of the Ds0*(2317) meson in the DK-molecule picture
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In the DK-molecule picture of Ds0*(2317), direct isospin-violating pion emission from constituent mesons dominates the eta-pi0 mixing contribution to the Ds0* to Ds pi0 decay.
Chiral partners of strange doubly heavy baryons: Mass relations and decay predictions after the 2026 LHCb discoveries
hep-ph 2026-10 conditional novelty 5.0 of 10

Using new LHCb measurements, chiral partner masses and widths of ccs and bbs baryons are predicted, with primary results as mass splittings independent of absolute scale.

Show 4 more citing papers

Chiral Doubling of Heavy-Light Hadrons and the New Beauty--Strange $B_{s0}^*(5700)^0$ Candidate
hep-ph 2026-08 conditional novelty 5.0 of 10

If the new B_s0*(5700) has J^P=0+, its mass matches the chiral-doubling prediction for the parity partner of B_s, implying a narrow 1+ state at 5747 MeV.
Heavy octets and Tevatron signals with three or four b jets
hep-ph 2010-12 conditional novelty 5.0 of 10

A 140 GeV scalar color octet resonantly produced through a 290 GeV coloron fits the CDF three-b-jet anomaly and predicts dijet and W-plus-dijet resonances at the Tevatron.
Multiquark States
hep-ph 2017-11 accept novelty 2.0 of 10

Exotic multiquark hadrons have now been observed, almost all involving heavy quarks, and the evidence favors loosely bound hadronic molecules over tightly bound tetraquarks and pentaquarks.
Heavy Hadrons in Nuclear Matter
hep-ph 2016-06 accept novelty 2.0 of 10

The review consolidates three decades of theory on charm and bottom hadrons in nuclear matter, organized by chiral symmetry and heavy quark spin symmetry, and reports where competing models agree and where they do not.

How the literature uses it

22 arXiv papers cite this in 42 sentences

Each citing sentence is taken from the citing paper's LaTeX source and typed by Pith's classifier. A label appears at probability 0.8 or more (0.95 for support), a contest at 0.7 or more; the quoted words are the citing authors'. How each label was checked · JSON

Papers citing it · 30 sentences without a confident label

Contests it 1 paper

Some versions of quark models [ref] gave a slope $ξ'(1) ≃- 0.4$ to $- 0.3$, which is not in agreement with general theoretical expectations expressed in Bjorken [ref] and Uraltsev [ref] sum rules which together imply $- ξ'(1) ≥3/4$.

The Isgur-Wise Function within a Modified Heavy-Light Chiral Quark Model · Introduction · contest 0.73

Cites it as background 10 papers

Historically, the idea that heavy-light hadrons should occur in opposite-parity multiplets was proposed more than three decades ago on symmetry grounds [ref] .

Chiral Doubling of Heavy-Light Hadrons and the New Beauty--Strange $B_{s0}^*(5700)^0$ Candidate · Discussion and Outlook · 0.92
In Refs. [ref] the focus is on the bosonization procedure.

The Isgur-Wise Function within a Modified Heavy-Light Chiral Quark Model · Introduction · 0.98
We refer to Refs. [ref] for related discussions from the perspective of flavor $SU(4)$ symmetry breaking, we refer to Refs. [ref] for related discussions from the perspective of flavor $SU(3)$ symmetry breaking, and we refer to Refs. [ref] for related discussions from the perspective of chiral symmetry breaking.

Hadrons in group expansion · Introduction · 0.98

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