Amplitude analysis of the Tcc+ observation using two-channel S-matrix
Abstract
Different amplitude analyses have contradicting interpretations on the nature of the doubly-charmed tetraquark Tcc+. This state emerges as a peak in the D0D0π+ invariant mass in pp collisions. This may decay into the D*+D0 channel, and its peak lies just below this channel's energy. This means that the usual Breit-Wigner amplitude is less accurate in the amplitude analysis because of the coupled channel effects. We use the two-channel uniformized S-Matrix to generate the scattering amplitude. We manually fit this line shape to the experiment's D0D0π+ invariant mass distribution. We generate and compare two cross sections with the first having a one-pole configuration and the second with two-pole configuration. It was found that the one-pole configuration had a better fit (χ2/d.o.f. = 1.50) than the two-pole configuration (χ2/d.o.f. = 2.25), which gives a molecular interpretation of the Tcc+. Moreover, we recommend in the future to automate the fitting and consider higher numbers of poles using machine learning.
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