Pith Number

pith:YNIKB75P

pith:2026:YNIKB75PHTLXZX6HG4THPVZYIY

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Approximate mass spectra of the heavy mesons under a Coulomb plus logarithmic spin-dependent potential function

E. M. Khokha, E. Omugbe, E. P Inyang, K. Adegoke

A Coulomb plus logarithmic potential treated with first-order perturbation theory reproduces experimental bottomonium masses with 0.24% average deviation.

arxiv:2605.14094 v1 · 2026-05-13 · hep-ph · hep-th

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Claims

C1strongest claim

The calculated bottomonium masses exhibited excellent agreement with experimental values, yielding an absolute percentage average deviation (APAD) of 0.24%, which improves upon several previously reported theoretical results.

C2weakest assumption

That first-order perturbation theory remains accurate for the chosen potential and that parameters fitted to low-lying states will continue to describe the system reliably when extended to higher excitations.

C3one line summary

A Coulomb plus logarithmic potential treated with first-order perturbation theory produces mass spectra for bottomonium and charmonium that match experiment to 0.24% and 1.65% average deviation after fitting parameters to PDG data.

References

31 extracted · 31 resolved · 0 Pith anchors

[1] Spectroscopy and annihilation decay widths of charmonium and bottomonium excitations, 2024 · doi:10.1088/1361-6471/ad7bd5

[2] Mass spectra, Regge trajectories and decay properties of heavy -flavour mesons, 2024 · doi:10.31349/revmexfis.70.010801

[3] Mass Spectroscopy of Charmonium Using a Screened Potential, 2025 · doi:10.1007/s10773-025-05924-8

[4] Time-translation invariance symmetry break- ing hidden by finite-scale singularities 2024 · doi:10.1088/1402-

[5] Predictions for bottomonium from a relativistic screened potential model, 2025 · doi:10.1088/1674-

Formal links

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Receipt and verification

First computed	2026-05-17T23:39:12.171878Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c350a0ffaf3cd77cdfc7372677d7384610ea347b85577f7daaceb94f2eb83838

Aliases

arxiv: 2605.14094 · arxiv_version: 2605.14094v1 · doi: 10.48550/arxiv.2605.14094

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Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/YNIKB75PHTLXZX6HG4THPVZYIY \
  | jq -c '.canonical_record' \
  | python3 -c "import sys,json,hashlib; b=json.dumps(json.loads(sys.stdin.read()), sort_keys=True, separators=(',',':'), ensure_ascii=False).encode(); print(hashlib.sha256(b).hexdigest())"
# expect: c350a0ffaf3cd77cdfc7372677d7384610ea347b85577f7daaceb94f2eb83838

Canonical record JSON

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    "abstract_canon_sha256": "5fa7a1901c298c197c83005a315706aed053969934c34fd9fceb485f33d2dd1a",
    "cross_cats_sorted": [
      "hep-th"
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    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-ph",
    "submitted_at": "2026-05-13T20:26:12Z",
    "title_canon_sha256": "0dd514220c2660770c571999757eac05ce01b5a3e492d617b8896fa625f52cd7"
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