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Isosinglet-isotriplet mixing and the \\(X(3872)\\) lineshape
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Isosinglet-isotriplet mixing and the \\(X(3872)\\) lineshape
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Paper
Isosinglet-isotriplet mixing and the \\(X(3872)\\) lineshape
2026
Overview
We investigate the lineshapes of the \\(X(3872)\\) in \\(B^+\\) decays production within a framework that incorporates two underlying QCD configurations: a compact isosinglet state \\(X_S\\) and the neutral component of a molecular isotriplet \\(X_T^0\\). The physical signal is interpreted as arising from the mixing of these states, induced by strong isospin breaking. The decay amplitude is constructed in a factorized form, separating short-distance production, non-relativistic propagation and final-state interactions. This setup allows for a unified description of both \\(DD^*\\) and \\(J/\\,+\\) pions final states. We show that the interplay between the two components and their mixing can qualitatively reproduce several nontrivial experimental features. In particular, interference effects can enhance the charged \\(DD^*\\) channel relative to the neutral one despite phase-space suppression, and generate distinctive structures in the \\(J/ ^+^-\\) and \\(J/ ^+^-^0\\) lineshapes, including the possibility of strong distortions near threshold.
Publisher
Cornell University Library, arXiv.org
Subject
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