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Particle physics · 2026-04-13

The Largest Adjacent-Quark Mass Gap Is Down -> Strange

Standard Model pedagogy should present the down-strange gap as 'the largest neighbor jump' rather than the more commonly cited charm-bottom or top-bottom gaps; PDG values back this directly.

Description

Pulled the Particle Data Group's 2024 Monte Carlo mass/width table from pdg.lbl.gov/2024/mcdata/mass_width_2024.txt on 2026-04-13. The file is the canonical machine-readable source for fundamental particle masses and decay widths used in particle-physics simulation packages (Pythia, GEANT4, etc.) and contains 231 entries; 226 carry nonzero mass values. Pinned by SHA-256 9d6024da6705fcab556f1136053c802fef77ad69b28eabdc1cd1d9284b6e2f6c. Sorted the 226 by mass and computed the multiplicative ratio between every adjacent pair.

Purpose

Precise

Ledger + structural extreme. The ledger is the top-10 list of largest multiplicative mass gaps between adjacent particles in the 2024 PDG mass spectrum, which spans 5.5 orders of magnitude from the electron (0.511 MeV) to the top quark (172.57 GeV). The thesis is the rank-1 entry: the largest single mass gap is between the down quark (4.70 MeV) and the strange quark (93.5 MeV), a 19.89× ratio (1.30 orders of magnitude) with no Standard Model particle in between. The famous 'electroweak desert' between the heaviest bottomonium state Upsilon(11020) at ~11 GeV and the W boson at ~80.37 GeV is only rank 2 at a 7.31× ratio. The third-rank gap is electron-to-up-quark (4.23×) and the fourth is pion-to-kaon (3.54×). Physically, the d→s gap reflects the Yukawa-coupling hierarchy of the Standard Model: the strange-quark Yukawa is roughly 20× the down-quark Yukawa, and no other Standard Model state — lepton, hadron, gauge boson, or otherwise — happens to sit in the 5–93 MeV window. The pion is above the gap at 140 MeV; the muon is above at 106 MeV; the electron is below at 0.5 MeV. So the d-s ratio is not just a quark-physics number but the literal largest mass step anywhere in the entire PDG spectrum, which is a sharper way to phrase the well-known Yukawa-hierarchy puzzle than the typical 'masses span six orders of magnitude' framing.

For a general reader

Particle physicists keep a master list of every fundamental particle they've discovered or carefully measured, plus all the short-lived 'resonance' particles they create in colliders. The list is published every two years by the Particle Data Group (PDG) — it contains a few hundred particles, with their measured masses and lifetimes. I downloaded the 2024 version, sorted the 226 entries with measured masses by mass, and asked: where's the biggest GAP? Which two adjacent entries on the sorted list are furthest apart in mass — meaning, where is the biggest 'empty zone' in the entire particle mass spectrum from the electron (the lightest charged particle, about half a million-electron-volt) to the top quark (the heaviest, about 173 billion electron-volts)? You might guess the answer is the famous 'electroweak desert' — the gap between the heaviest known short-lived hadrons (around 11 GeV) and the W boson at 80 GeV, an 80-billion-electron-volt jump. That's a real and well-known gap. But it's actually the SECOND biggest. The biggest single mass jump in the entire spectrum is the gap between the down quark and the strange quark — from 4.7 MeV to 93.5 MeV, a factor of about 20. There is no particle anywhere in the world's catalog with a mass between 5 and 93 MeV. The electron is at 0.5 MeV (well below), the muon is at 106 MeV (just above), the pion is at 140 MeV (also above). The down-strange jump is a 1.3-orders-of-magnitude void with nothing inside it. Why does it exist? Because the Higgs boson gives different particles different masses through couplings called 'Yukawa couplings,' and the Yukawa couplings of the strange and down quarks happen to differ by about a factor of 20 — and nothing else in nature happens to land in that window. It's not a deep mystery to a physicist, but the fact that this is the SINGLE biggest mass gap in the entire periodic table of fundamental particles, bigger even than the famous gap between hadrons and the electroweak scale, is a sharp observation that doesn't usually get stated this clearly.

Novelty

The Yukawa hierarchy and the down-vs-strange mass ratio are textbook particle physics, and the 'electroweak desert' is a famous concept. But the specific quantitative claim — that the d-to-s quark gap is the rank-1 largest multiplicative mass gap in the entire 2024 PDG spectrum, larger than the Upsilon(11020)-to-W gap, with all 10 top gaps tabulated — does not appear in standard particle-physics reviews I could find on 2026-04-13. The framing 'biggest single empty zone in the particle mass spectrum is below the muon' is a sharper restatement of a well-known fact.

How it upholds the rules

1. Not already discovered
Web searches on 2026-04-13 for 'largest mass gap PDG particle spectrum', 'down-strange quark mass ratio biggest gap', and 'particle desert 2024 PDG' returned discussions of Yukawa coupling hierarchies and the historical electroweak desert but no source that ranks the PDG 2024 spectrum by multiplicative mass gap and identifies the d-s gap as rank 1.
2. Not computer science
Particle physics. The objects of study are measured fundamental and composite particle masses; the program is a parser plus a sort plus a difference.
3. Not speculative
Every mass value is read from the pinned PDG file. The 'largest gap' is a deterministic argmax over the sorted-mass list. No model, no fit, no extrapolation.

Verification

(1) The PDG file is pinned by SHA-256 9d6024da6705fcab556f1136053c802fef77ad69b28eabdc1cd1d9284b6e2f6c. (2) The down quark current mass 4.70 MeV and strange quark current mass 93.5 MeV match the 2024 PDG Review values. (3) The Upsilon(11020) and W boson masses match the 2024 PDG values. (4) The light-meson and lepton masses cross-check against any standard particle-physics textbook: electron 0.511 MeV, muon 105.7 MeV, pion 139.6 MeV, kaon 493.7 MeV. (5) The top quark at 172.57 GeV matches the 2024 PDG value (the most precisely measured fundamental fermion mass at the highest end of the PDG spectrum).

Sequences

Top 10 largest multiplicative mass gaps in PDG 2024 (ratio)
19.89× d→s · 7.31× Υ(11020)→W · 4.23× e→u · 3.54× π→K · 2.18× u→d · 1.50× B_c→η_b · 1.38× H→t · 1.37× Z→H · 1.29× f₀(500)→ρ(770) · 1.28× μ→π
The rank-1 gap, in detail
down quark m_d = 4.70 MeV → strange quark m_s = 93.5 MeV · ratio 19.89 · log₁₀ ratio 1.30 · empty window 5..93 MeV contains no PDG particle
Spectrum endpoints
lightest with mass: electron at 0.511 MeV · heaviest: top quark at 172.57 GeV · total span 5.53 orders of magnitude

Next steps

  • Compute the same gap analysis on the LOG mass axis to get the largest additive log-mass gap, which is invariant under choice of mass units.
  • Repeat by particle category (lepton, quark, baryon, meson, gauge boson) to identify the largest gap WITHIN each category.
  • Investigate whether any predicted but not-yet-observed Standard Model state (e.g., glueball candidates) would land inside the d-s gap if confirmed.
  • Check whether the 2018 PDG release showed the same rank-1 gap, or whether more recent precision measurements have shifted the ranking.

Artifacts