Can We Extract Lambda-Lambda Interaction from Two-Particle Momentum Correlation ?

Abstract

We analyze the invariant mass spectrum of Lambda-Lambda in ${}^{12}C(K^{-},K^{+}LambdaLambda)$ reaction at P(K^+)=1.65 GeV/c by using a combined framework of IntraNuclear Cascade (INC) model and the correlation function technique. The observed enhancement at low-invariant masses can be well reproduced with attractive Lambda-Lambda interactions with the scattering length either in the range a = -6 \sim -4 fm (no bound state) or a = 7 \sim 12 fm (with bound state). We also discuss Lambda-Lambda correlation functions in central relativistic heavy-ion collisions as a possible way to eliminate this discrete ambiguity.

Comments: 4 Pages, LaTeX with psfig, embedded 4 ps figures. Talk given at KEK-Tanashi Int. Symp. on "Physics of Hadrons and Nuclei", 14-17 Dec. 1998, Tokyo, Japan, Nuclear Physics A, to appear