\boldmath{${\rm Y}$} and \boldmath{${\eta }_b$} mass shifts in nuclear matter

Abstract

We estimate the ${\rm Y}$, ${\eta }_b$ and $B^{\ast }$ meson mass shifts in symmetric nuclear matter. The interest is, whether the strengths of the bottomonium-(nuclear matter) and charmonium-(nuclear matter) interactions are similar or different. This is because, each ($J/\Psi ,{\rm Y}$) and (${\eta }_c,{\eta }_b$) meson group is usually assumed to have very similar properties based on the heavy charm and bottom quark masses. The estimate for the ${\rm Y}$ is made using an SU(5) effective Lagrangian and the anomalous coupling one, by studying the $BB$, $B{B}^{\ast }$, and $B^{\ast }{B}^{\ast }$ meson loop contributions for the self-energy. As for the ${\eta }_b$, we include the $B{B}^{\ast }$ and $B^{\ast }{B}^{\ast }$ meson loop contributions in the self-energy. The in-medium masses of the $B$ and $B^{\ast }$ mesons appearing in the self-energy are calculated by the quark-meson coupling model. An analysis on the $BB$, $B{B}^{\ast }$, and $B^{\ast }{B}^{\ast }$ meson loops in the ${\rm Y}$ mass shift is made by comparing with the corresponding $DD,D{D}^{\ast }$, and $D^{\ast }{D}^{\ast }$ meson loops for the $J/\Psi$ mass shift. Our prediction for the ${\eta }_b$ mass shift is made including only the lowest order $B{B}^{\ast }$ meson loop. The ${\rm Y}$ mass shift, with including only the $BB$ loop, is predicted to be -16 to -22 MeV at the nuclear matter saturation density using the ${\rm Y}BB$ coupling constant determined by the vector meson dominance model with the experimental data, while the ${\eta }_b$ mass shift is predicted to be -75 to -82 MeV with the SU(5) universal coupling constant determined by the ${\rm Y}BB$ coupling constant. Our results show an appreciable difference between the bottomonium-(nuclear matter) and charmonium-(nuclear matter) interaction strengths. We also study the ${\rm Y}$ and ${\eta }_b$ mass shifts in a heavy quark (heavy meson) symmetry limit.

arXiv comment19 pages, 9 figures (21 eps.files for figures), version to appear in EPJA

References in corpus (53)

• Charmonium
• The role of nucleon structure in finite nuclei
• Nucleon and hadron structure changes in the nuclear medium and impact on observables
• Model for $J/\psi$ absorption in hadronic matter
• J/psi absorption by pi and rho mesons in a meson exchange model with anomalous parity interactions
• Charmed Mesic Nuclei: Bound D and $\bar{D}$ states with ^{208}Pb
• A QCD Calculation of the Interaction of Quarkonium with Nuclei
• Self-consistent description of finite nuclei based on a relativistic quark model
• All the Fun of the FAIR: Fundamental physics at the Facility for Antiproton and Ion Research
• Baryon Masses from Lattice QCD: Beyond the Perturbative Chiral Regime
• On Studying Charm in Nuclei through Antiproton Annihilation
• J/psi and eta_c in the nuclear medium: QCD sum rule approach
• Heavy Hadrons in Nuclear Matter
• Meson-nucleus potentials and the search for meson-nucleus bound states
• The Role of the $\Delta (1920)$ Resonance for Kaon Production in Heavy Ion Collisions
• In-medium kaon and antikaon properties in the quark-meson coupling model
• Eta bound states in nuclei: a probe of flavour-singlet dynamics
• Nuclear-bound quarkonia and heavy-flavor hadrons
• Chiral Behaviour of the Rho Meson in Lattice QCD
• Charmonium mass in nuclear matter
• Quarkonium-Nucleus Bound States from Lattice QCD
• Is J/psi-Nucleon Scattering Dominated by the Gluonic van der Waals Interaction?
• Hadro-quarkonium from Lattice QCD
• J/Psi mass shift in nuclear matter
• QCD sum rules for J/psi in the nuclear medium: calculation of the Wilson coefficients of gluon operators up to dimension 6
• The interaction of slow J/psi and psi' with nucleons
• First lattice study of low-energy charmonium-hadron interaction
• Charmonium-nucleon potential from lattice QCD
• Properties of charmed and bottom hadrons in nuclear matter: A plausible study
• $J/\psi$-Nucleon Scattering Length and In-medium Mass Shift of $J/\psi$ in QCD Sum Rule Analysis
• $J/\psi$ and ${\eta }_c$ masses in isospin asymmetric hot nuclear matter - a QCD sum rule approach
• ${\rm Y}$ absorption in hadronic matter
• Novel features of $J/\Psi$ dissociation in matter
• $J/\Psi$-nuclear bound states
• Nucleon-$J/\psi$ and nucleon-${\eta }_c$ scattering in $P_c$ pentaquark channels from LQCD
• ${\Lambda }_c^{+}$, ${\Sigma }_c$, ${\Xi }_c$ and ${\Lambda }_b$ hypernuclei in the quark-meson coupling model
• Effective field theory for the nucleon-quarkonium interaction
• Flavor SU(4) breaking between effective couplings
• ${\rm Y}$ photo-production on the proton at the Electron-Ion Collider
• Proton-Proton Spin Correlations at Charm Threshold and Quarkonium Bound to Nuclei
• ${\rm Y}(nl)$ decay into $B^{(\ast )}{\bar{B}}^{(\ast )}$
• Properties of charmed and bottom hadrons in nuclear medium: Results for ${\Lambda }_c^{+}$ and ${\Lambda }_b$ hypernuclei
• Binding of charmonium with two- and three-body nuclei
• Couplings between the $\rho$ and $D$- and $D^{\ast }$-mesons
• ${\eta }_c$ production in photon - induced interactions at the LHC
• Quark condensate for various heavy flavors
• ${\eta }_c$-nucleus bound states
• Estimation of ${\rm Y}$(1S) production in ep process near threshold
• Strong three-meson couplings of $J/\psi$ and ${\eta }_c$
• Comment on "${\eta }_c$ production in photon-induced interactions at the LHC"
• $J/\Psi$ mass shift and $J/\Psi$-nuclear bound state
• Hard diffractive ${\eta }_{\mathrm{c},\mathrm{b}}$ hadroproduction at the LHC
• Inclusive diffractive ${\eta }_{\mathrm{c}}$ production in pp, pA and AA modes at the LHC

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• In-medium mass shift of two-flavored heavy mesons, $B_c$, $B_c^{\ast }$, $B_s$, $B_s^{\ast }$, $D_s$ and $D_s^{\ast }$
• Heavy-heavy and heavy-light mesons in cold nuclear matter
• $B_c^{\pm }$-${}^{12}$C states and detailed study of momentum space method for ${\rm Y}$- and ${\eta }_b$-nucleus bound states
• Medium modifications of $1P$-wave charmonia ${\chi }_{cJ}(1P)$ in cold nuclear matter
• Impact of isospin asymmetric nuclear medium on pseudoscalar and vector $B$ mesons