Holographic description of heavy-flavored baryonic matter decay involving glueball

摘要

We holographically investigate the decay of the heavy-flavored baryonic hadron involving a glueball by using the Witten-Sakai-Sugimoto model. Since the baryon in this model is recognized as the D4-brane wrapped on S4 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 a glueball-baryon interaction through the holography which is nothing but the close-open string interaction in string theory. In order to take the heavy flavor into account, an extra pair of heavy-flavored branes separated from the other flavor branes with a heavy-light open string is embedded into the bulk. Due to the finite separation of the flavor 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 flavor 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 flavored gauge fields. Then, with the solutions, we evaluate the soliton mass by deriving the flavored onshell action in the strong coupling limit and heavy quark limit. After the collectivization and quantization, the quantum mechanical system for the glueball and heavy-flavored 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 the heavy-flavored baryon involving the glueball, and we find one of the decay processes might correspond to the decay of the baryonic B-meson involving the glueball candidate f_0(1710). This work is a holographic approach to studying the decay of the heavy-flavored hadron in nuclear physics.