About the stability of the dodecatoplet

TL;DR

This paper investigates the potential stability of a complex particle system called the dodecatoplet, composed of six top quarks and six top antiquarks, using variational and Hamiltonian methods.

Contribution

It provides a new analysis of the dodecatoplet's stability using variational bounds and Hamiltonian identities, advancing understanding of such multi-quark systems.

Findings

Variational method yields an upper bound close to mean-field estimates.

Lower bounds are established through Hamiltonian identities.

Results suggest possible stability of the dodecatoplet under certain conditions.

Abstract

A new investigation is done of the possibility of binding the "dodecatoplet", a system of six top quarks and six top antiquarks, using the Yukawa potential mediated by Higgs exchange. A simple variational method gives a upper bound close to that recently estimated in a mean-field calculation. It is supplemented by a lower bound provided by identities among the Hamiltonians describing the system and its subsystems.