Hyperfine splitting and the Zeeman effect in holographic heavy-light mesons

Abstract

We inspect the mass spectrum of heavy-light mesons in deformed N ¼ 2 super Yang-Mills theory using the AdS/CFT correspondence. We demonstrate how some of the degeneracies of the supersymmetric meson spectrum can be removed upon breaking the supersymmetry, thus leading to the emergence of a hyperfine structure. The explicit SUSY breaking scenarios we consider involve on the one hand, tilting one of the two fundamental D7-branes inside the internal R 6 space, and on the other hand, applying an external magnetic field on the (untilted) branes. The latter scenario leads to the well-known Zeeman effect, which we inspect for both weak and strong magnetic fields.

Melting holographic mesons by cooling a magnetized quark gluon plasma

“…Regarding the meson spectrum, it was found that the magnetic field breaks the degeneracy of the levels given in [19] displaying a Zeeman like effect. Using a similar setup, in [29] it was studied how the magnetic field affects the spectrum of heavy-light mesons, showing that a Zeeman like effect is also induced in this case. It is important to remark that the excited modes on the S 3 were not considered in [26][27][28].…”