Monte-Carlo Based QCD Sum Rules Analysis of $X_0(2900)$ and $X_1(2900)$

Abstract

Motivated by the very recent discovery of fully open-flavor exotic states $X_0(2900)$ and $X_1(2900)$ by the LHCb Collaboration, we study possible interpretations of these exotic states by QCD Sum Rules method. We have calculated mass and decay constant by traditional QCD Sum Rules analysis and Monte-Carlo based analysis. $X_0(2900)$ and $X_1(2900)$ are studied in molecular and diquark-antidiquark tetraquark pictures, respectively. Obtained mass results agree well with the masses observed in the experiment. We also made a Monte-Carlo based analysis within QCD Sum Rules for the mass and decay constant distributions to investigate the possible assignments for the structures of $X_0(2900)$ and $X_1(2900)$.

Comments: 9 pages, 4 figures, new references added, some typos are corrected, further classical and Monte-Carlo analysis results are given