[Paper Review] The J/{\Psi} meson and the missing heavy baryon octet

Kai-Wai Wong, G. Dreschhoff+1 more|arXiv (Cornell University)|Mar 25, 2012

Particle physics theoretical and experimental studies1 references3 citations

TL;DR

This paper proposes that the 5D homogeneous space-time projection theory, combined with gluon field strength factors and Lorentz jet sum rules, explains the mass and structure of hadrons. It predicts the exact mass of the J/Ψ meson at 3096 MeV and identifies missing heavy baryon octet states in the 5–8 GeV range, with large mass splittings inconsistent with known baryon multiplets.

ABSTRACT

The 5D homogeneous space-time projection theory produces the Gell-Mann standard model, and the gluon fields together with quantum gauge constraint which is responsible for the major portion of the hadron mass as discussed previously. It was found that the SU(3) representations for the mesons and baryons together with the mass levels within each representations are generated by the gluon fields strength factors which form their respective Lorentz jet sum rules. In this paper, we deduce from the meson jet sum rule the remaining mesons, the J/{\\Psi} particle with the exact mass of 3096 MeV, and the Y particles with mass 9460 MeV and 4140 MeV. For the baryons, there might be the not yet found octet with mass levels in the 5 to 8 GeV energy region, with mass level splitting also in the GeV range, far higher than those in the known octet and decuplet

Motivation & Objective

• To explain the origin of hadron masses using a 5D homogeneous space-time projection theory.
• To derive the J/Ψ meson mass from meson jet sum rules based on gluon field strength factors.
• To predict the existence of a missing heavy baryon octet in the 5–8 GeV energy range.
• To account for large mass splittings in the missing baryon octet, inconsistent with known SU(3) multiplets.
• To unify meson and baryon mass generation under a single theoretical framework based on Lorentz jet sum rules.

Proposed method

• Utilizes a 5D homogeneous space-time projection theory to generate SU(3) representations for mesons and baryons.
• Applies gluon field strength factors as the primary source of hadron mass via quantum gauge constraints.
• Derives meson jet sum rules from Lorentz invariance and applies them to predict the J/Ψ meson mass.
• Extends the jet sum rule formalism to baryons to predict the existence of an unobserved heavy baryon octet.
• Uses the Lorentz jet sum rule to determine mass levels and splittings within the predicted baryon multiplets.
• Matches theoretical predictions to known experimental masses, such as the J/Ψ at 3096 MeV.

Experimental results

Research questions

• RQ1 Can the J/Ψ meson's exact mass of 3096 MeV be derived from a unified theoretical framework based on gluon fields and jet sum rules?
• RQ2 What is the theoretical origin of the mass levels and splittings in the predicted heavy baryon octet?
• RQ3 Why do the predicted mass splittings in the missing baryon octet exceed those in the known octet and decuplet?
• RQ4 How do the gluon field strength factors generate both meson and baryon mass levels within the same theoretical framework?
• RQ5 Can the 5D homogeneous space-time projection theory reproduce the standard model's SU(3) flavor structure for hadrons?

Key findings

• The J/Ψ meson mass is predicted with exact agreement at 3096 MeV using the meson jet sum rule derived from gluon field strength factors.
• The theory predicts the existence of Y particles at 9460 MeV and 4140 MeV, consistent with experimental observations.
• A missing heavy baryon octet is predicted in the 5–8 GeV energy range, with mass levels and splittings significantly larger than in known baryon multiplets.
• The mass level splittings in the predicted baryon octet are found to be in the GeV range, far exceeding those in the known octet and decuplet.
• The Lorentz jet sum rule formalism successfully generates both meson and baryon SU(3) representations from the same underlying gluon field dynamics.
• The theory reproduces the Gell-Mann standard model structure through the 5D homogeneous space-time projection and quantum gauge constraints.