Pentaquark in a supersmmetric quark-diquark model

TL;DR

This paper uses a supersymmetric quark-diquark model based on QCD to estimate pentaquark masses, suggesting they are heavier and broader than some experimental reports, challenging their observability.

Contribution

It introduces a novel application of supersymmetry between antiquarks and diquarks to relate pentaquark and antibaryon masses, providing new mass estimates.

Findings

Pentaquark mass > 1.74 GeV

Pentaquark likely broad and hard to detect

Mass estimate exceeds reported $ heta^+$ mass

Abstract

According to QCD, there exists a broken dynamical supersymmetry between an antiquark and a diquark. This supersymmetry can be used to relate the mass of a pentaquark to the mass of an antibaryon by replacing two antiquarks in an antibaryon by two diquarks to form a pentaquark. Using this technique, we find that the mass of an exotic pentaquark with strangeness plus 1 is greater than 1.74 GeV, or at least 200 MeV larger than that of the reported $\Theta^+$ pentaquark. Furthermore, there is no reason for the pentaquark to be narrow; on the contrary, it is expected to be so broad that it will be difficult to observe.