Spectroscopy and decays of the fully-heavy tetraquarks

Abstract

We discuss the possible existence of the fullyheavy tetraquarks. We calculate the ground-state energy of the bbbb bound state, where b stands for the bottom quark, in a nonrelativistic effective field theory framework with onegluon-exchange (OGE) color Coulomb interaction, and in a relativized diquark model characterized by OGE plus a confining potential. Our analysis advocates the existence of uni-flavor heavy four-quark bound states. The ground state bbbb tetraquark mass is predicted to be (18.72 ± 0.02) GeV. Mass inequality relations among the lowest Q QQQ states, where Q ∈ {c, b}, and the corresponding heavy quarkonia are presented, which give the upper limit on the mass of ground state Q QQQ. The possible decays of the lowest bbbb are highlighted, which might provide useful references in the search for them in ongoing LHC experiments, and its width is estimated to be a few tens of MeV.

Spectrum of the fully-heavy tetraquark state QQQ¯′Q¯Wang1, Meng2, Zhu3 2019Phys. Rev. D11314691View full textAdd to dashboardCite

“…In Table XI, we summarize our numerical results and those from the CMI model [42,43,46], a nonrelativistic effective field theory (NREFT) and a relativized diquark and antidiquark model [33], a diffusion Monte-Carlo method [32], a constituent quark model with the hyperspherical formalism [40], the nonrelativistic potential model [48], and the QCD sum rule [36,56]. In this table, we notice that the numerical results in the two nonrelativistic quark models are similar to each other.…”

Heavy-flavored tetraquark states with the QQQ¯Q¯ configuration

“…If the P-wave cccc state exists where the orbital angular momentum contributes some repulsion, the lower ground tetraquark states should also exist. Recently, there are further discussions about the properties of fully-heavy tetraquarks [74][75][76][77][78][79][80][81][82][83][84].…”

Mass inequalities for baryons with heavy quarks

“…This method sums constituent-quark masses, quark-quark hyperfine interactions, and terms B(qq ′ ) expressing the binding of quarks both of which are at least as heavy as the strange quark. These binding terms are seen to satisfy inequalities B(qq ′ ) < [B(qq) + B(q ′ q ′ )]/2, with the consequence that when hyperfine contributions are removed, baryons satisfy the inequality m xyy > 1 2 (m xxy + m yyy ) [9][10][11][12][13][14][15][16]. This constitutes a useful consistency check of the semi-empirical method, and enables rough estimates, independent of potential models, of unseen hadron masses.…”

“…Under some circumstances hadrons satisfy mass inequalities associated with permutations of their quarks [9][10][11][12][13][14][15][16]. For example, under some conditions one expects 2E(Mmm) > E(MMm) + E(mmm), where E denotes the mass, m = m u = m d , and M is the mass of a heavy quark, to apply to spin-averaged states [cf.…”