Heavy hadronic molecules with pion exchange and quark core couplings: a guide for practitioners
Yasuhiro Yamaguchi, Atsushi Hosaka, Sachiko Takeuchi, Makoto Takizawa
Abstract
Abstract We discuss selected and important features of hadronic molecules as one of several promising forms of exotic hadrons near thresholds. Using examples of <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" overflow="scroll"> <mml:mi>D</mml:mi> <mml:msup> <mml:mrow> <mml:mover accent="true"> <mml:mrow> <mml:mi>D</mml:mi> </mml:mrow> <mml:mrow> <mml:mo>¯</mml:mo> </mml:mrow> </mml:mover> </mml:mrow> <mml:mrow> <mml:mo>*</mml:mo> </mml:mrow> </mml:msup> </mml:math> systems such as X (3872) and Z c , emphasis is put on the roles of the one pion exchange interaction between them and their coupling to intrinsic quark states. Thus hadronic molecules emerge as admixtures of the dominant long-range hadron structure and short-range quark structure. For the pion exchange interaction, properties of the tensor force are analyzed in detail. More coupled channels supply more attractions, and heavier constituents suppress kinetic energies, providing more chances to form hadronic molecules of heavy hadrons. Throughout this article, we show details of basic ideas and methods.