Abstract

We perform a study of the N ¯ D interaction within a chiral constituent quark model. This model has been completely tight in the description of the NN interaction and the baryon and meson spectra, therefore provides a parameter-free framework from where to address the problem of the charm −1 two hadron systems. We predict the existence of a unique bound state, ¯ D ∗ with (T, S) = (1,5/2), that would appear in the scattering of ¯ D mesons on nucleons as a D wave state. This resonance resembles our findings in the system, that offered a plausible explanation to the cross section of double-pionic fusion reactions through the so-called ABC effect.

Highlights

  • We perform a study of the NDinteraction within a chiral constituent quark model

  • This model has been completely tight in the description of the NN interaction and the baryon and meson spectra, provides a parameter–free framework from where to address the problem of the charm −1 two hadron systems

  • This resonance resembles our findings in the system, that offered a plausible explanation to the cross section of double–pionic fusion reactions through the so–called ABC effect

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Summary

Introduction

We perform a study of the NDinteraction within a chiral constituent quark model. We approach the study of the N Dsystem (N D , N D ∗, D , D ∗) from a chiral constituent quark model (CCQM) [2, 3], which successfully described the N N interaction and the meson spectra in all flavors, with the hope that our predictions may be supported by the generation of experiments to be done at P ANDA. The two–body interactions are obtained in the CCQM [2, 3], where hadrons are described as clusters made of constituent quarks, whose mass is coming from the spontaneous chiral symmetry breaking.

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