The exact quantization of the CLEO and BELLE data for $D$ mass differences by the harmonic quarks and oscillators

TL;DR

This paper demonstrates that the mass differences of D mesons are exactly quantized by harmonic quark models, providing precise explanations for experimental data from CLEO and BELLE.

Contribution

It introduces a novel harmonic quark and oscillator model that precisely quantizes D meson mass differences, aligning with experimental results for the first time.

Findings

Mass differences are strictly quantized by harmonic quark rest masses.

The model explains specific D meson transitions with exact energy values.

Full agreement with CLEO and BELLE experimental data.

Abstract

The harmonic quarks and their complete oscillators are successfully used for the exact quantitative results and an explanation of the $D$ meson mass differences. For the first time it is shown that the mass differences of the charmed mesons with the same flavors are strictly quantized by the rest masses of harmonic quarks in both "free" state and complete oscillator state. The $D^*(2007)^0$ $\to$ $D^0$ transition has the following neutral quark group: $d$-oscillator + $u^0$-quark with rest energy 142.124 MeV. It is argued that it is the unique model solution within the 4$\sigma$ experimental interval. The $D_s^{*+}$ - $D_s^+$ mass difference is quantized by the simplest quark reaction with the difference energy 143.756 MeV. The energy of the $D_{sJ}$(2460)$^+$ $\to$ $D_s^+$ transition explains by the decay of the one complete $s$-oscillator with the energy 491.33 MeV. The full agreement with experimental data of CLEO and BELLE is obtained. The problems of a quark shells and the quantization by quark rest masses are discussed.