Impact of clustering inside compact tetraquarks

Abstract

Due to the reducibility of tetraquark operators into mesonic clusters, a strong interplay exists in tetraquarks between compact and molecular structures. This issue is studied within an effective field theory approach, where the compact tetraquark is treated as an elementary particle. Under the influence of the coupling to the mesonic clusters, an initially formed compact tetraquark bound state is deformed towards a new structure of the molecular type, having the attributes of a shallow bound state.

The Quantum Chromodynamics Gas Density Drop and the General Theory of Relativity Ether

“…The impact of clustering inside exotic tetraquarks was studied by Sazdjian [10] concluding that a weakly bound compact two mesons Van-der-waals moleculelike structure is energetically favorable for the exotic meson comparing to two separate mesons [11]. We propose that the uddu   exotic meson may condense into a new strongly bound peculiar positronium/quarkonium state introduced by Crater and Wong's Two Body Dirac Equation (TBDE) approximate solution [12] [13].…”

“…The first configuration on the left is the compact exotic meson comprised of weakly bound two mesons Van-der-waals molecule-like state suggested by Sazdjian [10] and on the right is the condensed configuration, which is much more stable in the peculiar quarkonium state suggested by Crater [12] [13], and two emitted photons ϒ rays. The short-lived charged pions ( ) ( )…”

“…Equations ( 6), ( 8) and (10), maintain strict quark balance. The numbers of down (d), up (u), antidown ( d  ) and antiup ( u  ) quarks are strictly conserved in each equation, which may be a fundamental principle of quark and antiquark pair exchange reactions.…”