# Comprehending Isospin breaking effects of $X(3872)$ in a Friedrichs-model-like scheme

@article{Zhou2017ComprehendingIB, title={Comprehending Isospin breaking effects of \$X(3872)\$ in a Friedrichs-model-like scheme}, author={Zhi-Yong Zhou and Zhiguang Xiao}, journal={Physical Review D}, year={2017}, volume={97}, pages={034011} }

Recently, we have shown that the X(3872) state can be naturally generated as a bound state by incorporating the hadron interactions into the Godfrey-Isgur quark model using a Friedrichs-like model combined with the quark pair creation model, in which the wave function for the X(3872) as a combination of the bare cc¯ state and the continuum states can also be obtained. Under this scheme, we now investigate the isospin-breaking effect of X(3872) in its decays to J/ψπ+π- and J/ψπ+π-π0. By coupling…

## 15 Citations

### Threshold corrections of χc(2P) and χb(3P) states and J/ψρ and J/ψω transitions of the X(3872) in a coupled-channel model

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Using the extended Friedrichs scheme, we study the bottomonium counterpart of $X(3872)$, $X_b$. In this scheme, a dynamically generated virtual state below the $B\bar B^*$ threshold is found, and…

### X(3872) as virtual companion pole of the charm–anticharm state χc1(2P)

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### Decays of $X(3872)$ to $\chi_{cJ}\pi^0$ and $J/\psi\pi^+\pi^-$

- Physics
- 2019

By describing the X(3872) using the extended Friedrichs scheme, in which DD¯* is considered as the dominant component, we calculate the decay rates of the X(3872) to π0 and a P-wave charmonium χcJ…

### A simple alternative to the relativistic Breit–Wigner distribution

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First, we discuss the conditions under which the non-relativistic and relativistic types of the Breit–Wigner energy distributions are obtained. Then, upon insisting on the correct normalization of…

### A review on partial-wave dynamics with chiral effective field theory and dispersion relation

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This review summarizes the recent progress on the applications of partial wave dynamics combined with chiral EFTs and dispersion relations, on related topics, with emphasis on ππ, πK, ρN and K̄N scatterings.

### Understanding X(3872) and its decays in the extended Friedrichs scheme

- PhysicsHadron Spectroscopy and Structure
- 2020

We present that the $X(3872)$ could be represented as a dynamically generated state in the extended Friedrichs scheme, in which the ratio of "elementariness" and "compositeness" of the different…

### Heavy hadronic molecules with pion exchange and quark core couplings: a guide for practitioners

- Physics
- 2019

We discuss selected and important features of hadronic molecules as one of promising forms of exotic hadrons near thresholds. Using examples of $D \bar D^*$ systems such as $X(3872)$ and $Z_c$,…

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