Study of $qqqc\bar{c}$ five quark system with three kinds of quark-quark hyperfine interaction

TL;DR

This study investigates the energy spectra of specific five-quark systems using three different schematic interactions, revealing consistent quantum states and mass hierarchies across models.

Contribution

It provides a comparative analysis of five-quark systems with different interactions, highlighting the lowest energy states and their quantum properties.

Findings

Lowest states have L=0 and J^P=1/2^-

Mass of udscar{c} is heavier than uudcar{c}

Consistent quantum numbers across models

Abstract

The low-lying energy spectra of five quark systems $uudc\bar{c}$ (I=1/2, S=0) and $udsc\bar{c}$ (I=0, S=-1) are investigated with three kinds of schematic interactions: the chromomagnetic interaction, the flavor-spin dependent interaction and the instanton-induced interaction. In all the three models, the lowest five quark state ($uudc\bar{c}$ or $udsc\bar{c}$) has an orbital angular momentum L=0 and the spin-parity $J^{P}=1/2^{-}$; the mass of the lowest $udsc\bar{c}$ state is heavier than the lowest $uudc\bar{c}$ state.