Strong decays of the hadronic molecule <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"> <mml:msup> <mml:mrow> <mml:mi>Ω</mml:mi> </mml:mrow> <mml:mrow> <mml:mo>*</mml:mo> </mml:mrow> </mml:msup> </mml:math> (2012)
Thomas Gutsche, Valery E Lyubovitskij
Abstract
Abstract Strong two- and three-body decays of the new excited hyperon Ω*(2012) are discussed in the hadronic molecular approach. The Ω*(2012) state is considered to contain the mixed <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline" overflow="scroll"> <mml:msup> <mml:mrow> <mml:mi mathvariant="normal">Ξ</mml:mi> </mml:mrow> <mml:mrow> <mml:mo>*</mml:mo> </mml:mrow> </mml:msup> <mml:mrow> <mml:mover accent="true"> <mml:mrow> <mml:mi>K</mml:mi> </mml:mrow> <mml:mo>̄</mml:mo> </mml:mover> </mml:mrow> </mml:math> and Ω η hadronic components. In our calculations we use a phenomenological hadronic Lagrangian for description of interaction of the Ω*(2012) state with constituents and of constituents to other hadrons occurring in the final state. Our results show that the decay widths of the two-body decay modes <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline" overflow="scroll"> <mml:msup> <mml:mrow> <mml:mi mathvariant="normal">Ω</mml:mi> </mml:mrow> <mml:mrow> <mml:mo>*</mml:mo> </mml:mrow> </mml:msup> <mml:mrow> <mml:mo stretchy="false">(</mml:mo> <mml:mrow> <mml:mn>2012</mml:mn> </mml:mrow> <mml:mo stretchy="false">)</mml:mo> </mml:mrow> <mml:mo>→</mml:mo> <mml:mi mathvariant="normal">Ξ</mml:mi> <mml:mrow> <mml:mover accent="true"> <mml:mrow> <mml:mi>K</mml:mi> </mml:mrow> <mml:mo>̄</mml:mo> </mml:mover> </mml:mrow> </mml:math> lie in the few MeV region and are compatible with or dominate over the rates of the three-body modes <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline" overflow="scroll"> <mml:msup> <mml:mrow> <mml:mi mathvariant="normal">Ω</mml:mi> </mml:mrow> <mml:mrow> <mml:mo>*</mml:mo> </mml:mrow> </mml:msup> <mml:mrow> <mml:mo stretchy="false">(</mml:mo> <mml:mrow> <mml:mn>2012</mml:mn> </mml:mrow> <mml:mo stretchy="false">)</mml:mo> </mml:mrow> <mml:mo>→</mml:mo> <mml:mi mathvariant="normal">Ξ</mml:mi> <mml:mi>π</mml:mi> <mml:mrow> <mml:mover accent="true"> <mml:mrow> <mml:mi>K</mml:mi> </mml:mrow> <mml:mo>̄</mml:mo> </mml:mover> </mml:mrow> </mml:math> . The sum of two- and three-body decay widths is consistent with a width of the Ω*(2012) originally measured by the Belle collaboration. A possible scenario for the suppression of the three-body decay rate recently noticed by the Belle collaboration is due to the dominant admixture of the Ω η hadronic component in the Ω*(2012) state.