Glueball-baryon interactions in holographic QCD

Abstract

Studying the Witten-Sakai-Sugimoto model with type IIA string theory, we find the glueball-baryon interaction is predicted in this model. The glueball is identified as the 11D gravitational waves or graviton described by the M5-brane supergravity solution. Employing the relation of M-theory and type IIA string theory, glueball is also 10D gravitational perturbations which are the excited modes by close strings in the bulk of this model. On the other hand, baryon is identified as a D4-brane wrapped on $S^4$ which is named as baryon vertex, so the glueball-baryon interaction is nothing but the close string/baryon vertex interaction in this model. Since the baryon vertex could be equivalently treated as the instanton configurations on the flavor brane, we identify the glueball-baryon interaction as "graviton-instanton" interaction in order to describe it quantitatively by the quantum mechanical system for the collective modes of baryons. So the effective Hamiltonian can be obtained by considering the gravitational perturbations in the flavor brane action. With this Hamiltonian, the amplitudes and the selection rules of the glueball-baryon interaction can be analytically calculated in the strong coupling limit. We show our calculations explicitly in two characteristic situations which are "scalar and tensor glueball interacting with baryons". Although there is a long way to go, our work provides a holographic way to understand the interactions of baryons in hadronic physics and nuclear physics by the underlying string theory.

16 pages, adding the Appendix C and transition amplitude in this version

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Cited by in corpus (10)

• Gravitational form factors of pion from top-down holographic QCD
• Holographic heavy-baryons in the Witten-Sakai-Sugimoto model with the D0-D4 background
• The D4/D8 model and holographic QCD
• Holographic three flavor baryon in the Witten-Sakai-Sugimoto model with the D0-D4 background
• The theta-dependent Yang-Mills theory at finite temperature in a holographic description
• A holographic description of heavy-flavoured baryonic matter decay involving glueball
• The interaction of glueball and heavy-light flavoured meson in holographic QCD
• Scalar-glueball-mediated scale-anomaly dominance of the confining pressure of the pion in holographic QCD
• Corrections to the instanton configuration as baryon in holographic QCD
• The worldvolume fermion as baryon in holographic QCD with instanton