Study on X(3872) from effective field theory with pion exchange interaction

P. Wang; X. G. Wang

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arXiv · 1304.0846

Study on X(3872) from effective field theory with pion exchange interaction

P. Wang·X. G. Wang

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Abstract

We study $D\bar{D}^*$ ($D^*\bar{D}$) scattering in the framework of unitarized heavy meson chiral perturbation theory with pion exchange and a contact interaction. $^3S_1-$$^3D_1$ mixing effects are taken into account. A loosely bound state X(3872), with the pole position being $M_{pole}=(3871.70-i0.39)\mathrm{MeV}$, is found. The result is not sensitive to the strength of the contact interaction. Our calculation provides a theoretical confirmation of the existence of the $1^{++}$ state X(3872). The light quark mass dependence of the pole position indicates it has a predominately $D\bar{D}^*$ ($D^*\bar{D}$) molecular nature. When the $\pi$ mass is larger than 142 MeV, the pole disappears which makes impossible the lattice simulation of this state at large quark mass.

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P. Wang, X. G. Wang. 2013-04-03. Study on X(3872) from effective field theory with pion exchange interaction. https://arxiv.org/abs/1304.0846

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