Bottomonium states in hot asymmetric strange hadronic matter

Abstract

We calculate the in-medium masses of the bottomonium states (Υ(1S), Υ(2S), Υ(3S) and Υ(4S)) in isospin asymmetric strange hadronic matter at finite temperatures. The medium modifications of the masses arise due to the interaction of these heavy quarkonium states with the gluon condensates of QCD. The gluon condensates in the hot hadronic matter are computed from the medium modification of a scalar dilaton field within a chiral SU(3) model, introduced in the hadronic model to incorporate the broken scale invariance of QCD. There is seen to be drop in the masses of the bottomonium states and mass shifts are observed to be quite considerable at high densities for the excited states. The effects of density, isospin asymmetry, strangeness as well as temperature of the medium on the masses of the Υ-states are investigated. The effects of the isospin asymmetry as well as strangeness fraction of the medium are seen to be appreciable at high densities and small temperatures. The density effects are the most dominant medium effects which should have observable consequences in the compressed baryonic matter (CBM) in the heavy ion collision experiments in the future facility at FAIR, GSI. The study of the Υ states will however require access to energies higher than the energy regime planned at CBM experiment. The density effects on the bottomonium masses should also show up in the dilepton spectra at the SPS energies, especially for the excited states for which the mass drop is observed to quite appreciable.

Open bottom mesons in a hot asymmetric hadronic medium

“…On the other hand, the heavy quarkonium systems, e.g., charmonium and bottomonium states, due to the absence of any light quark constituents, are modified in the medium due to their interactions with the gluon condensates [36][37][38]. A study of the mass modification of the charmonium system in the medium arising from the medium modifications of the gluon condensate has been recently generalized to study the bottomonium states in the medium [39].…”

Charmonia and bottomonia in asymmetric magnetized hot nuclear matter

“…On the other hand, QCDSR which is a non-perturbative approach to investigate the confining nature of strong interactions has also been used extensively to study the in-medium properties of heavy mesons [20,26,49,50,[53][54][55][66][67][68][69]. The open charm and bottomonium mesons have also been studied under the influence of strong magnetic field [19,70,71].…”

Decay widths of bottomonium states in matter: A field theoretic model for composite hadrons

“…On the other hand, the hidden charm and bottom mesons, i.e. the charmonium [21,[23][24][25] and bottomonium states [26], have the masses modified in the hadronic medium due to the interactions with the gluon condensates in the medium. The gluon condensates of QCD is mimicked by a scalar dilaton field [21,25], within the effective hadronic model, and the medium modifications of the heavy quarkonium states, i.e., the charmonium [21] and bottomonium states [26], are studied by medium modification of the dilaton field within the model.…”

“…the charmonium [21,[23][24][25] and bottomonium states [26], have the masses modified in the hadronic medium due to the interactions with the gluon condensates in the medium. The gluon condensates of QCD is mimicked by a scalar dilaton field [21,25], within the effective hadronic model, and the medium modifications of the heavy quarkonium states, i.e., the charmonium [21] and bottomonium states [26], are studied by medium modification of the dilaton field within the model. Using a field theoretical model for composite hadrons with quark and antiquark constitutents [27][28][29], the partial decay widths of the charmonium states to DD pair, as well as of the decay D * → Dπ, in matter have been studied [30], using the medium modifications of these hadrons using the effective hadronic model [21].…”

“…The bottomonium states are, on the other hand, modified due to their interactions with the gluon condensates in the hadronic medium. The in-medium masses of these states ( Υ(1S), Υ(2S), Υ(3S) and Υ(4S)) have been calculated within the same effective hadronic model, where the effect of scale symmetry breaking of QCD through the scalar gluon condensates are simulated by a scalar dilaton field within the hadronic model[26]. For the case of the Υ-state at rest decaying to B(p)B(−p), the magnitude of p, is given by…”