Exotic states with triple charm
M. Bayar, A. Martínez Torres, Kanchan Khemchandani, R. Molina, E. Oset
Abstract
Abstract In this work we investigate the possibility of the formation of states from the dynamics involved in the $$D^*D^*D^*$$ <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"> <mml:mrow> <mml:msup> <mml:mi>D</mml:mi> <mml:mo>∗</mml:mo> </mml:msup> <mml:msup> <mml:mi>D</mml:mi> <mml:mo>∗</mml:mo> </mml:msup> <mml:msup> <mml:mi>D</mml:mi> <mml:mo>∗</mml:mo> </mml:msup> </mml:mrow> </mml:math> system by considering that two $$D^*$$ <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"> <mml:msup> <mml:mi>D</mml:mi> <mml:mo>∗</mml:mo> </mml:msup> </mml:math> ’s generate a $$J^P=1^+$$ <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"> <mml:mrow> <mml:msup> <mml:mi>J</mml:mi> <mml:mi>P</mml:mi> </mml:msup> <mml:mo>=</mml:mo> <mml:msup> <mml:mn>1</mml:mn> <mml:mo>+</mml:mo> </mml:msup> </mml:mrow> </mml:math> bound state, with isospin 0, which has been predicted in an earlier theoretical work. We solve the Faddeev equations for this system within the fixed center approximation and find the existence of $$J^P=0^-$$ <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"> <mml:mrow> <mml:msup> <mml:mi>J</mml:mi> <mml:mi>P</mml:mi> </mml:msup> <mml:mo>=</mml:mo> <mml:msup> <mml:mn>0</mml:mn> <mml:mo>-</mml:mo> </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:mo>-</mml:mo> </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:mo>-</mml:mo> </mml:msup> </mml:math> states with charm 3, isospin 1/2, masses $$\sim 6000$$ <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"> <mml:mrow> <mml:mo>∼</mml:mo> <mml:mn>6000</mml:mn> </mml:mrow> </mml:math> MeV, which are manifestly exotic hadrons, i.e., with a multiquark inner structure.