Supersymmetry in the double-heavy hadronic spectrum

Abstract

Relativistic light-front bound-state equations for double-heavy mesons, baryons and tetraquarks are constructed in the framework of supersymmetric light front holographic QCD. Although heavy quark masses strongly break conformal symmetry, supersymmetry and the holographic embedding of semiclassical light-front dynamics still holds. The theory, derived from five-dimensional antide Sitter space, predicts that the form of the confining potential in the light-front Hamiltonian is harmonic even for heavy quarks. Therefore, the basic underlying supersymmetric mechanism, which transforms meson-baryon and baryon-tetraquark wave functions into each other, can also be applied to the double-heavy sector; one can then successfully relate the masses of the double-heavy mesons to double-heavy baryons and tetraquarks. The dependence of the confining potential on the hadron mass scale agrees completely with the one derived in heavy light systems from heavy quark symmetry. We also make predictions for higher excitations of the charmonium and bottomonium states. In particular, the remarkable equality of the Regge slopes in the orbital angular momentum, L, and the principal quantum number, n, is predicted to remain valid. *

Color Confinement, Hadron Dynamics, and Hadron Spectroscopy from Light-Front Holography and Superconformal Algebra

“…Remarkably, a similar LF Schrodinger equation is predicted for baryons by superconformal algebra where the baryons |q[qq] are represented as a 3 C quark and a3 C composite diquark [10,11] with relative orbital angular momentum L B . A crucial difference with the meson equation is that L B − 1 replaces L = L M .…”

Isoscalar mesons and exotic states in light front holographic QCD

“…We will therefore restrict our general discussion to tetraquarks, where only one diquark cluster has spin 1. But at least tentatively, we suggest that the higher lying states of f 2 mesons might contain admixtures of tetraquarks (ssss) and extend (7) to S = 2. This is motivated by the appearance of two φ mesons in the decay channels of these mesons.…”

“…This prediction of a massless pseudoscalar meson qq bound state is a remarkable success of LFHQCD for the isovector channel. But since LFHQCD does not treat flavor explicitly, this result also applies to the isoscalar (6) and (7) in GeV.…”

Hadron and Nuclear Physics on the Light Front

“…The eigensolutions of superconformal algebra predict the Regge spectroscopy of mesons, baryons, and tetraquarks of the same parity and twist as equal-mass members of the same 4-plet representation with a universal Regge slope [25][26][27]. The qq mesons with orbital angular momentum L M = L B + 1 have the same mass as their baryonic partners with orbital angular momentum L B [23,27].…”