A Full Reproduction of the Godfrey--Isgur Relativized Quark Model
Abstract
The relativized quark model of Godfrey and Isgur (1985) remains a reference for meson spectroscopy four decades after its publication, yet despite its impact the calculation behind it has never been publicly available. I present an independent reproduction of the whole paper, released as the open-source Julia package GIModel.jl with companion packages for transition observables and for the comparison with the original. The published parameters are used without refitting, and the paper's three-stage harmonic-oscillator algorithm is cross-checked with an independent finite-difference solver. All 209 levels of the paper's spectrum figures are reproduced within the precision of the printed diagrams. The strong-decay, radiative, annihilation, and electromagnetic tables are reproduced with median model-to-paper ratios between 0.97 and 1.06, and the 1P mixing angles agree with the values the authors revised after 1985. With the calculation open, the model's own wavefunctions become available for decay amplitudes and structure visualization. The package, its teaching material, and its agent-accessible interface make the model a baseline for experimental questions and theoretical extensions.
Related
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BibTeX
@misc{mikhasenko2026full,
title = {{A Full Reproduction of the Godfrey--Isgur Relativized Quark Model}},
author = {Mikhail Mikhasenko},
howpublished = {arXiv},
year = {2026},
month = sep,
doi = {10.48550/arxiv.2609.37716},
eprint = {2609.37716},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2609.37716},
note = {CC BY-NC-ND 4.0},
}
RIS
TY - UNPB
TI - A Full Reproduction of the Godfrey--Isgur Relativized Quark Model
AU - Mikhail Mikhasenko
PY - 2026
DA - 2026/09/29
PB - arXiv
DO - 10.48550/arxiv.2609.37716
UR - https://arxiv.org/abs/2609.37716
AB - The relativized quark model of Godfrey and Isgur (1985) remains a reference for meson spectroscopy four decades after its publication, yet despite its impact the calculation behind it has never been publicly available. I present an independent reproduction of the whole paper, released as the open-source Julia package GIModel.jl with companion packages for transition observables and for the comparison with the original. The published parameters are used without refitting, and the paper's three-stage harmonic-oscillator algorithm is cross-checked with an independent finite-difference solver. All 209 levels of the paper's spectrum figures are reproduced within the precision of the printed diagrams. The strong-decay, radiative, annihilation, and electromagnetic tables are reproduced with median model-to-paper ratios between 0.97 and 1.06, and the 1P mixing angles agree with the values the authors revised after 1985. With the calculation open, the model's own wavefunctions become available for decay amplitudes and structure visualization. The package, its teaching material, and its agent-accessible interface make the model a baseline for experimental questions and theoretical extensions.
ER -