The interaction of glueball and heavy-light flavoured meson in holographic QCD
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Regular Article - Theoretical Physics
The interaction of glueball and heavy-light flavoured meson in holographic QCD Si-wen Li1,a 1
Department of Physics, School of Science, Dalian Maritime University, Dalian 116026, China
Received: 17 December 2018 / Accepted: 10 September 2020 © The Author(s) 2020
Abstract We construct the D4/D8 brane configuration in the Witten–Sakai–Sugimoto model by introducing a pair of heavy flavour brane with a heavy-light open string. The multiplets created by the heavy-light string acquire mass due to the finite separation of the heavy and light flavour branes thus they could be identified as the heavy-light meson fields in this model. On the other hand the glueball field is identified as the gravitational fluctuations carried by the close string in the bulk, so this model is able to describe the interaction of glueball and heavy-light meson through the openclose string interaction in gauge-gravity duality. We explicitly derive the effective action for the various glueballs and heavy-light mesons then numerically evaluate the associated lowest coupling constants. Afterwards the decay/production widths of various glueballs involving the lowest heavy-light meson, which is identified as D 0 meson, are calculated by using our effective action which might be remarkable to theoretically study the charm oscillation e.g. D 0 − D¯ 0 , Bs − B¯ s decay/production in hadron physics. This work extends the previous investigations of glueball in holographic QCD and it is also a further prediction of glueball-meson interaction.
4.2 Involving the dilatonic scalar glueball . . . . . . 4.3 Involving the tensor glueball . . . . . . . . . . . 5 Interaction of glueball and the lowest heavy-light meson in holography . . . . . . . . . . . . . . . . . . 5.1 The mode eigenfunctions and the choice of parameters . . . . . . . . . . . . . . . . . . . . . 5.2 Glueball decay into the lowest scalar D 0 D¯ 0 meson 6 Summary and discussion . . . . . . . . . . . . . . . . Appendix A: The 10d equations of motion in the bulk supergravity . . . . . . . . . . . . . . . . . . . . . . Appendix B: The action of the D-brane with nonAbelian excitation . . . . . . . . . . . . . . . . . . . Appendix C: The interactions of glueball and π, ρ mesons C1: The exotic scalar glueball . . . . . . . . . . . . . C2: The dilatonic and tensor glueball . . . . . . . . . Appendix D: The renormalization of the quadric D8brane action . . . . . . . . . . . . . . . . . . . . . . References . . . . . . . . . . . . . . . . . . . . . . . . .
1 Introduction Contents 1 Introduction . . . . . . . . . . . . . . . . . . . . . . 2 The dynamics of glueball . . . . . . . . . . . . . . . 2.1 The geometry in supergravity . . . . . . . . . . . 2.2 Gravitational fluctuations as the glueball field in holography . . . . . . . . . . . . . . . . . . . . 3 The flavours and mesons . . . . . . . . . . . . . . . . 3.1 The light flavour and meson . . . . . . . . . . . 3.2 The heavy flavour and heavy-light flavoured meson 4 The interactions of glueball and heavy-light f
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