A holographic description of heavy-flavoured baryonic matter decay involving glueball

Abstract

We holographically investigate the decay of heavy-flavoured baryonic hadron involving glueball by using the Witten-Sakai-Sugimoto model. Since baryon in this model is recognized as the D4-brane wrapped on $S^4$ and the glueball field is identified as the bulk gravitational fluctuations, the interaction of the bulk graviton and the baryon brane could be naturally interpreted as glueball-baryon interaction through the holography which is nothing but the close-open string interaction in string theory. In order to take account into the heavy flavour, an extra pair of heavy-flavoured branes separated from the other flavour branes with a heavy-light open string is embedded into the bulk. Due to the finite separation of the flavour branes, the heavy-light string creates massive multiplets which could be identified as the heavy-light meson fields in this model. As the baryon brane on the other hand could be equivalently described by the instanton configuration on the flavour brane, we solve the equations of motion for the heavy-light fields with the Belavin-Polyakov-Schwarz-Tyupkin (BPST) instanton solution for the $N_f=2$ flavoured gauge fields. Then with the solutions, we evaluate the soliton mass by deriving the flavoured onshell action in strongly coupling limit and heavy quark limit. After the collectivization and quantization, the quantum mechanical system for glueball and heavy-flavoured baryon is obtained in which the effective Hamiltonian is time-dependent. Finally we use the standard technique for the time-dependent quantum mechanical system to analyze the decay of heavy-flavoured baryon involving glueball and we find one of the decay process might correspond to the decay of baryonic B-meson involving the glueball candidate $f_0\left(1710\right)$. This work is a holographic approach to study the decay of heavy-flavoured hadron in nuclear physics.

arXiv comment24 pages, 3 tables, 1 figure, add more analysis and fix the references in this version

References in corpus (23)

• Dielectric-Branes
• Low energy hadron physics in holographic QCD
• The glueball spectrum from an anisotropic lattice study
• Baryons And Branes In Anti de Sitter Space
• Glueball Spectrum and Matrix Elements on Anisotropic Lattices
• Baryons from instantons in holographic QCD
• Glueball Spectrum for QCD from AdS Supergravity Duality
• Towards the glueball spectrum from unquenched lattice QCD
• Glueball Regge trajectories and the Pomeron -- a lattice study --
• Spin-Two Glueballs, Positive Energy Theorems and the AdS/CFT Correspondence
• Glueball Decay Rates in the Witten-Sakai-Sugimoto Model
• Glueball Decay in Holographic QCD
• Semileptonic $B$ and $B_s$ decays involving scalar and axial-vector mesons
• Heavy Baryons and their Exotics from Instantons in Holographic QCD
• Holographic Heavy-Light Chiral Effective Action
• A broad pseudovector glueball from holographic QCD
• Heavy-Light Mesons in Chiral AdS/QCD
• Identifying Glueball at 3.02 GeV in Baryonic $B$ Decays
• Holographic heavy-baryons in the Witten-Sakai-Sugimoto model with the D0-D4 background
• Glueball-baryon interactions in holographic QCD
• Holographic three flavor baryon in the Witten-Sakai-Sugimoto model with the D0-D4 background
• Glueball Production via Gluonic Penguin B Decays
• The interaction of glueball and heavy-light flavoured meson in holographic QCD

Cited by in corpus (6)

• Heavy Holographic Exotics: Tetraquarks as Efimov States
• The D4/D8 model and holographic QCD
• The theta-dependent Yang-Mills theory at finite temperature in a holographic description
• The interaction of glueball and heavy-light flavoured meson in holographic QCD
• Corrections to the instanton configuration as baryon in holographic QCD
• The worldvolume fermion as baryon in holographic QCD with instanton