Bottom Tetraquark Production at RHIC?

Abstract

Background: A resonance has been observed by the ANDY Collaboration at the Relativistic Heavy-Ion Collider at Brookhaven National Laboratory in Cu+Au collisions at center-of-mass energy $\sqrt{s}=200$ GeV and at forward rapidity with an average mass of 18.15 GeV. The Collaboration suggests that it is a $b\overline{b}b\overline{b}$ tetraquark state decaying to two ${\rm Y}$(1S) states, each measured through the ${\rm Y}\to ggg$ channel. Purpose: Their suggestion is investigated assuming that the two ${\rm Y}$ states are produced through the materialization of a $|uudb\overline{b}b\overline{b}⟩$ Fock state in the projectile. Methods: The ${\rm Y}$ pair mass and rapidity distributions arising from such a state are calculated. The production of an $X_b(b\overline{b}b\overline{b})$ tetraquark state from the same Fock configuration is also investigated. The dependence on bottom quark mass and their transverse momentum range is also studied. Results: It is found that double ${\rm Y}$ production from these $|uudb\overline{b}b\overline{b}⟩$ states peak in the rapidity range of the ANDY detector. The ${\rm Y}$ pair and $X_b$ masses are, however, higher than the mass reported by the ANDY Collaboration. Conclusions: The results obtained from these calculations are incompatible with the ANDY result. They are, however, compatible with previous predictions of $b\overline{b}b\overline{b}$ tetraquark masses.

arXiv comment14 pages, 6 figures

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