On bound states of multiple t-quarks due to Higgs exchange

TL;DR

This paper investigates the possibility of bound states formed by multiple top quarks via Higgs exchange, providing more precise calculations that suggest such states are weakly bound or unbound depending on the Higgs mass.

Contribution

The study offers improved energy calculations for multi-top bound states using variational and mean field methods, clarifying their binding conditions.

Findings

Weak binding for massless Higgs boson

Unbound states when Higgs mass is included

More accurate energy estimates of top quark bound states

Abstract

Froggatt, Nielsen et al suggested that the Higgs boson exchange between top quarks produces enough attraction to generate their multiple bound states. Furthermore they claimed that the system of 6 top and 6 anti-top quarks is bound so strongly that the binding energy nearly compensates the masses of t-quarks, making it very light. We calculated the energy of such states more accurately, variationally and by self-consistent mean field approximation, and found that these state are weakly bound for massless Higgs boson and unbound with the account for its mass.