The model for effective QCD Hamiltonian, describing bound states of “constituent” quark and antiquark, is proposed, using the Light Front (LF) formulation of QCD in the LF gauge. Zero mode of gluon field becomes independent canonical variable in this model unlike the known canonical formulations on the LF. This mode forms the “string” between quark and antiquark and bounds them. As quark and antiquark are separated by the “string”, the interaction term, related to the interaction of fermion currents in the Hamiltonian, gives zero due to locality of this interaction. We introduce the nonlocal modification of this term and investigate the resulting spectral equation for mass squared. This equation is solved analytically in the large quark mass limit. However the rotation invariance turns out to be violated with our choice of modified interaction term. We show the way to restore the invariance and discuss the possibility to obtain the spectrum describing the experimental one.
Original languageEnglish
Title of host publicationHadron Spectroscopy and Structure
Subtitle of host publicationThe 18th International Conference on Hadron Spectroscopy and Structure (HADRON2019), Guilin, China, 16 – 21 August 2019
Pages632-637
ISBN (Electronic)978-981-121-932-0
DOIs
StatePublished - 2020
EventThe 18th International Conference on Hadron Spectroscopy and Structure - Guilin, China
Duration: 16 Aug 201921 Aug 2019

Conference

ConferenceThe 18th International Conference on Hadron Spectroscopy and Structure
Abbreviated titleHADRON2019
Country/TerritoryChina
CityGuilin
Period16/08/1921/08/19

    Scopus subject areas

  • Physics and Astronomy(all)

    Research areas

  • quantization on the Light Front, gauge field theory, quark-antiquark model

ID: 71131645