Search for the Charmed Baryonium and Dibaryon Structures via the QCD Sum Rules

Abstract

In the present work, we construct eight six-quark currents to study the Σ c Σ ¯ c baryonium and Σ c Σ c dibaryon states via the QCD sum rules. For either Σ c Σ ¯ c baryonium or Σ c Σ c dibaryon states, we construct four currents with the J P = 1 − , 1 + , 0 + and 0 − . Except the current 1 + of Σ c Σ c , we find the Borel windows for the other seven. There are two possible Σ c Σ ¯ c molecular states or compact six-quark states with the J P = 1 − and 0 − . The results of the current 0 + of Σ c Σ c show a possible Σ c Σ c molecular state with 20 MeV binding energy. We find two Σ c Σ ¯ c baryonium resonances states with the J P = 1 + , 0 + and two Σ c Σ c dibaryon resonances states with the J P = 0 − , 1 − , respectively. Pole residues of the seven states are also calculated.

Doubly charmed dibaryon states*

“…) have been discussed using various approaches, including the constituent quark model (CQM) [83][84][85], the quark delocalization color screening model [86][87][88], the lattice QCD calculation [89], the chiral constituent quark model [90], the nucleonnucleon interaction model [91,92], the chiral effective field theory (EFT) [93][94][95], the QCD sum rules [96,97], the relativistic six-quark equations [98], the complex scaling method [99], and the one-boson-exchange (OBE) model [100][101][102][103][104][105]. Meanwhile, Richard pointed out that there is no obvious gain with respect to the best threshold made of two baryons in a colour-additive model, but flavour independence dictates that before spin corrections, the threshold ( ) + ( ) is lower than 2 ( ) [106].…”