Properties of $X(3872)$ from hadronic potentials coupled to quarks

Ibuki Terashima; Tetsuo Hyodo

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arXiv · 2504.19471

Properties of $X(3872)$ from hadronic potentials coupled to quarks

Ibuki Terashima·Tetsuo Hyodo

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Abstract

The concept of compositeness is used to quantitatively discuss the hadronic molecular nature in exotic hadrons. In this work, we develop a formulation to explicitly introduce the compact quark state contribution in the hadronic potentials together with the direct four-point interaction. We derive analytic expressions of the compositeness from the effective potential between hadrons when the system has a bound state. Applying this formulation to the $X(3872)$, we examine the variation of the compositeness with respect to the binding energy, energy of $\chi_{c1}(2P)$, cutoff momentum, and strength of the direct $D^0\bar{D}^{*0}$ interaction.

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Ibuki Terashima, Tetsuo Hyodo. 2025-04-28. Properties of $X(3872)$ from hadronic potentials coupled to quarks. https://arxiv.org/abs/2504.19471

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