Measurement of the cross section of $$ {e}^{+}{e}^{-}\to {\Xi}^{-}{\overline{\Xi}}^{+} $$ at center-of-mass energies between 3.510 and 4.843 GeV

Abstract

A bstract Using e + e − collision data corresponding to a total integrated luminosity of 12.9 fb − 1 collected with the BESIII detector at the BEPCII collider, the exclusive Born cross sections and the effective form factors of the reaction $$ {e}^{+}{e}^{-}\to {\Xi}^{-}{\overline{\Xi}}^{+} $$ <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"> <mml:msup> <mml:mi>e</mml:mi> <mml:mo>+</mml:mo> </mml:msup> <mml:msup> <mml:mi>e</mml:mi> <mml:mo>−</mml:mo> </mml:msup> <mml:mo>→</mml:mo> <mml:msup> <mml:mi>Ξ</mml:mi> <mml:mo>−</mml:mo> </mml:msup> <mml:msup> <mml:mover> <mml:mi>Ξ</mml:mi> <mml:mo>¯</mml:mo> </mml:mover> <mml:mo>+</mml:mo> </mml:msup> </mml:math> are measured via the single baryon-tag method at 23 center-of-mass energies between 3.510 and 4.843 GeV. Evidence for the decay $$ \psi (3770)\to {\Xi}^{-}{\overline{\Xi}}^{+} $$ <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"> <mml:mi>ψ</mml:mi> <mml:mfenced> <mml:mn>3770</mml:mn> </mml:mfenced> <mml:mo>→</mml:mo> <mml:msup> <mml:mi>Ξ</mml:mi> <mml:mo>−</mml:mo> </mml:msup> <mml:msup> <mml:mover> <mml:mi>Ξ</mml:mi> <mml:mo>¯</mml:mo> </mml:mover> <mml:mo>+</mml:mo> </mml:msup> </mml:math> is observed with a significance of 4.5 σ by analyzing the measured cross sections together with earlier BESIII results. For the other charmonium(-like) states ψ (4040), ψ (4160), Y (4230), Y (4360), ψ (4415), and Y (4660), no significant signal of their decay to $$ {\Xi}^{-}{\overline{\Xi}}^{+} $$ <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"> <mml:msup> <mml:mi>Ξ</mml:mi> <mml:mo>−</mml:mo> </mml:msup> <mml:msup> <mml:mover> <mml:mi>Ξ</mml:mi> <mml:mo>¯</mml:mo> </mml:mover> <mml:mo>+</mml:mo> </mml:msup> </mml:math> is found. For these states, upper limits of the products of the branching fraction and the electronic partial width at the 90% confidence level are provided.