Diquarks as Inspiration and as Objects

Frank Wilczek

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Diquarks as Inspiration and as Objects

Frank Wilczek

High Energy Physics - Phenomenology · Submitted 14 Sep 2004

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

The authors' main claim It is plausible that several of the most profound aspects of low-energy QCD dynamics are connected to diquark correlations, including: paucity of exotics (which is the foundation of the quark model and of traditional nuclear physics), similarity of mesons and baryons, color superconductivity at high density, hyperfine splittings, $\Delta I = 1/2$ rule, and some striking features of structure and fragmentation functions.

how it is stated · hedged possibility 0.97 read the record →

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What the abstract itself states, as probabilities: claims first 0.03 · states limitation 0.19 · human participants 0.02 · controlled comparison 0.02 · randomized assignment 0.01 · states quantitative result 0.14 · compares with prior results 0.10 · mentions code or data availability 0.02.

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arXiv listing abstract v2. Results and the main claim are underlined; show every role.

It is plausible that several of the most profound aspects of low-energy QCD dynamics are connected to diquark correlations, including: paucity of exotics (which is the foundation of the quark model and of traditional nuclear physics), similarity of mesons and baryons, color superconductivity at high density, hyperfine splittings, $\Delta I = 1/2$ rule, and some striking features of structure and fragmentation functions. After a brief overview of these issues, I discuss how diquarks can be studied in isolation, both phenomenologically and numerically, and present approximate mass differences for diquarks with different quantum numbers. The mass-loaded generalization of the Chew-Frautschi formula provides an essential tool.

background contribution method result interpretation main claim

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	It is plausible that several of the most profound aspects of low-energy QCD dynamics are connected to diquark correlations, including: paucity of exotics (which is the foundation of the quark model and of traditional nuclear physics), similarity of mesons and baryons, color superconductivity at high density, hyperfine splittings, $\Delta I = 1/2$ rule, and some striking features of structure and fragmentation functions.	background 0.99	0.08	0.34	hedged possibility 0.97
s1	After a brief overview of these issues, I discuss how diquarks can be studied in isolation, both phenomenologically and numerically, and present approximate mass differences for diquarks with different quantum numbers.	contribution 1.00	0.90	0.12	asserted 0.97
s2	The mass-loaded generalization of the Chew-Frautschi formula provides an essential tool.	method 0.93	0.29	0.08	asserted 1.00

What kind of paper the classifier reports this is: review 0.48 · evidence from argument 0.53.

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P abstract

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The paper

Original abstract

It is plausible that several of the most profound aspects of low-energy QCD dynamics are connected to diquark correlations, including: paucity of exotics (which is the foundation of the quark model and of traditional nuclear physics), similarity of mesons and baryons, color superconductivity at high density, hyperfine splittings, $\Delta I = 1/2$ rule, and some striking features of structure and fragmentation functions. After a brief overview of these issues, I discuss how diquarks can be studied in isolation, both phenomenologically and numerically, and present approximate mass differences for diquarks with different quantum numbers. The mass-loaded generalization of the Chew-Frautschi formula provides an essential tool.

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References

Forward citations

Cited by 12 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. OpenAlex reports about 34 citations worldwide. Full citation record

Hadronic Spectrum of a Holographic Dual of QCD
hep-th 2005-01 conditional novelty 7.0 of 10

Truncating anti-de Sitter space at a fixed distance and matching string modes to quark-operator dimensions reproduces the light hadron mass pattern, with the Delta/nucleon ratio set by Bessel zeros.
Quark model of nucleon based on an analogy with polaron
hep-ph 2025-07 conditional novelty 6.0 of 10

Mapping polaron physics onto quark-pion interactions gives a mass formula that reproduces the nucleon mass, but the central input is one third of that same nucleon mass.
A holographic model of deconfinement and chiral symmetry restoration
hep-th 2006-04 accept novelty 6.0 of 10

In the Sakai-Sugimoto holographic model, deconfinement and chiral symmetry restoration coincide only when the quark separation exceeds about 0.97 times the compactification radius; below that, an intermediate deconfin...
Quark-diquark effective mass formalism for heavy baryon spectroscopy
hep-ph 2026-03 unverdicted novelty 5.0 of 10

A quark-diquark formalism extracts effective masses and couplings from known heavy baryon data to predict spectra across singly, doubly, and triply heavy sectors with two scenarios and a mass-dependent binding term.
Continuity from neutron matter to two-flavor quark matter with $^1 S_0$ and $^3 P_2$ superfluidity
hep-ph 2019-08 conditional novelty 5.0 of 10

The paper proposes that neutron 1S0 and 3P2 superfluidity map continuously to scalar and 3P2 d-quark pairing in a 2SC+⟨dd⟩ quark matter phase, extending quark-hadron continuity to two flavors.

Show 7 more citing papers

Hyperon electromagnetic timelike elastic form factors at large $q^2$
hep-ph 2019-08 conditional novelty 5.0 of 10

Using a quark model calibrated in the spacelike region plus analyticity relations, the paper predicts timelike hyperon form factors that agree broadly with available data, with clear exceptions for Lambda and Xi-zero,...
Multiquark Resonances
hep-ph 2016-11 conditional novelty 5.0 of 10

The observed X and Z resonances are proposed to be compact diquarkonium levels that hybridize with a nearby meson-meson continuum, giving a width that scales as the square root of the mass gap above threshold.
Hadronic Form Factor Models and Spectroscopy Within the Gauge/Gravity Correspondence
hep-ph 2012-03 conditional novelty 5.0 of 10

A light-front mapping to warped AdS space reproduces the light-hadron spectrum and elastic and transition form factors with one gap scale, though the baryon mass rules are fitted rather than derived.
$\lambda$, $\rho$, and $\sigma$ Regge trajectories for the hexaquark ${(\bar{u}(cc))(b(\bar{b}\bar{b}))}$ in the triquark-antitriquark picture
hep-ph 2026-06 unverdicted novelty 4.0 of 10

Derives λ, ρ1, ρ2, σ1, and σ2 Regge trajectories for the hexaquark (ū(cc))(b(b̄b̄)) in the triquark-antitriquark picture, showing substructure is required for most series and giving rough mass estimates for excited states.
Mass spectrum, magnetic moments and Regge trajectories of $\Omega_{ccb}$ and $\Omega_{cbb}$ baryons in the nonrelativistic quark--diquark model
hep-ph 2026-04 unverdicted novelty 4.0 of 10

In a nonrelativistic quark-diquark model fitted to B_c meson data, the authors predict ground-state masses of ~8.0 GeV for Ω_ccb and ~11.0 GeV for Ω_cbb along with magnetic moments and Regge trajectories for different...
Baryon spectroscopy
hep-ph 2009-01 conditional novelty 4.0 of 10

A comprehensive review of baryon spectroscopy that catalogues roughly 120 states, re-rates their evidence, sorts them into harmonic-oscillator bands, and argues a two-parameter mass relation reproduces 48 nucleon and ...
Exotics: Heavy Pentaquarks and Tetraquarks
hep-ph 2017-06 accept novelty 3.0 of 10

A comprehensive review of the charmonium- and bottomonium-like exotics and the two LHCb pentaquarks, covering the experimental evidence state by state and the four competing theoretical explanations for them.

How the literature uses it

42 arXiv papers cite this in 68 sentences

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Papers citing it · 45 sentences without a confident label

Builds on it 1 paper

The simplest way to understand Eq. ([ref]) is to view it as an extension of the Selem-Wilczek relation [ref] for the SH hadrons, [equation] which scales as $(M-M_Q)^2∝(α/2)L$ when $L→∞$ but divergent at $L=0$.

Regge behaviors in orbitally excited spectroscopy of charmed and bottom baryons · Spin-independent masses for singly heavy baryons · 0.82

Uses its data or values 2 papers

Moreover, a generalized Chew-Frautschi formula relating baryon mass to orbital angular momentum is [equation] with $k≈1.15$ GeV $^-1 2$ and $σ≈1.1$ GeV$^2$ [ref] .

Charmed baryon in a Diquark model · Mass Formula and Spectrum · 0.93
See also Table [ref], where we report some estimations of the masses of axial-vector and scalar diquarks according to some previous studies [ref] .

Strange and nonstrange baryon spectra in the relativistic interacting quark-diquark model with a G\"ursey and Radicati-inspired exchange interaction · Nonrelativistic quark-diquark states · 0.84

Compares with it 1 paper

Eq. ([ref]) is consistent with the results in Refs. [ref] .

Regge trajectory relations for the universal description of the heavy-light systems: diquarks, mesons, baryons and tetraquarks · relations obtained from the QSSE · 0.87

Cites it as support 1 paper

This preference for $ud$-type diquarks is corroborated by LQCD studies and deep-inelastic scattering results [ref] .

Quark-diquark effective mass formalism for heavy baryon spectroscopy · Numerical results and discussions · 0.99

Cites it as background 15 papers

Recall that there is a direct relation between the mass $m$ of a hadron and its orbital excitation quantum number $L$ given by the Regge trajectory equation [ref] : m^2=a+σL ,where $m$ is the mass of the hadron, $a$ is an intercept that depends on the trajectory, and $σ$ is the slope.

No Radial Excitations in Low Energy QCD. II. The Shrinking Radius of Hadrons · Introduction · 0.81
For simplicity, plots in the $(M, x)$ plane [ref] , $(M-m_R, x)$ plane [ref] , $(M, (x+c_0)^ν)$ plane [ref] , $(M^2, x)$ plane [ref] , $((M-m_R)^2, x)$ plane [ref] or $((M-m_R)^1/ν, x)$ plane [ref] , are all commonly referred as Chew-Frautschi plots. can be plotted in these various planes. ] is one of the effective approaches widely used in the study of hadron spectra [ref] .

Regge trajectories for the doubly heavy triquarks $((Qq)\bar{Q}')$ · Introduction · 0.87
The overall picture that emerged in the 1980s and 1990s matched the conclusions of Jaffe, Wilczek and Selem&Wilczek [ref] who singled out the spin-0 flavor-antisymmetric diquarks and called them “good diqurks”, as opposed to flavor-symmetric diquark states, referred to as “bad diquarks.” Good diquarks are in the color-antitriplet representation.

QCD Chemistry: Remarks on Diquarks · Introduction · 0.94

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