The two-body strong decays of the fully-charm tetraquark states
Zhi-Gang Wang, Xiao-Song Yang
Abstract
Abstract We study the hadronic coupling constants in the two-body strong decays of the fully-charm tetraquark states with the $$J^{PC}=0^{++}$$ <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"> <mml:mrow> <mml:msup> <mml:mi>J</mml:mi> <mml:mrow> <mml:mi>PC</mml:mi> </mml:mrow> </mml:msup> <mml:mo>=</mml:mo> <mml:msup> <mml:mn>0</mml:mn> <mml:mrow> <mml:mo>+</mml:mo> <mml:mo>+</mml:mo> </mml:mrow> </mml:msup> </mml:mrow> </mml:math> , $$1^{+-}$$ <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"> <mml:msup> <mml:mn>1</mml:mn> <mml:mrow> <mml:mo>+</mml:mo> <mml:mo>-</mml:mo> </mml:mrow> </mml:msup> </mml:math> , and $$2^{++}$$ <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"> <mml:msup> <mml:mn>2</mml:mn> <mml:mrow> <mml:mo>+</mml:mo> <mml:mo>+</mml:mo> </mml:mrow> </mml:msup> </mml:math> via the QCD sum rules based on rigorous quark-hadron duality. Then we obtain the hadronic coupling constants and partial decay widths therefore total decay widths, which support assigning the X (6552) as the first radial excitation of the scalar tetraquark state. And other predictions can be used to diagnose exotic states in the future.