$\bar{\mathrm{D}}$ and $\mathrm{B}$ mesons in nuclear medium

Abstract

We discuss the mass modifications of $\bar{\mathrm{D}}$ and ${\bar{\mathrm{D}}}^{\ast }$ ($\mathrm{B}$ and ${\mathrm{B}}^{\ast }$) mesons in nuclear medium. The heavy quark symmetry for $\bar{\mathrm{D}}$ and ${\bar{\mathrm{D}}}^{\ast }$ ($\mathrm{B}$ and ${\mathrm{B}}^{\ast }$) mesons is adopted, and the interaction between a $\bar{\mathrm{D}}$ or ${\bar{\mathrm{D}}}^{\ast }$ ($\mathrm{B}$ or ${\mathrm{B}}^{\ast }$) meson and a nucleon is supplied from the pion exchange. We find the negative mass shifts for $\bar{\mathrm{D}}$ meson and $\mathrm{B}$ meson, and hence that the $\bar{\mathrm{D}}$ and $\mathrm{B}$ mesons are bound in the nuclear medium. As applications, we consider the atomic nuclei with a $\bar{\mathrm{D}}$ meson, ${}_{\bar{\mathrm{D}}}^{40}\mathrm{Ca}$ and ${}_{\bar{\mathrm{D}}}^{208}\mathrm{Pb}$, and investigate the energy levels of the $\bar{\mathrm{D}}$ meson in each nucleus. We also discuss the mass shifts in the isospin asymmetric nuclear medium, and present the possible phenomenon about distribution of isospin density around a $\bar{\mathrm{D}}$ or $\mathrm{B}$ meson in nuclear medium. We find that the mass shifts of ${\bar{\mathrm{D}}}^{\ast }$ and ${\mathrm{B}}^{\ast }$ mesons have large imaginary parts, which would prevent precise study of the energy levels of ${\bar{\mathrm{D}}}^{\ast }$ and ${\mathrm{B}}^{\ast }$ mesons in nuclei.

21 pages, 9 figures

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Cited by in corpus (35)

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• D mesons in strongly magnetized asymmetric nuclear matter
• More about the $B$ and $D$ mesons in nuclear matter
• Kondo effect in charm/bottom nuclei
• Open bottom mesons in hot asymmetric hadronic medium
• Spin degeneracy in multi-hadron systems with a heavy quark
• Fate of charmed mesons near chiral symmetry restoration in hot matter
• Open bottom mesons in asymmetric nuclear matter in presence of strong magnetic fields
• Probing gluon dynamics by charm and bottom mesons in nuclear medium from heavy meson effective theory with 1/M-corrections
• Charmonium states in strong magnetic fields
• Pseudoscalar and vector open-charm mesons at finite temperature
• Exotic dibaryons with a heavy antiquark
• Kondo effect of ${\bar{D}}_s$ and ${\bar{D}}_s^{\ast }$ mesons in nuclear matter
• Bottom-strange mesons in hyperonic matter
• Charmonium decay widths in magnetized matter
• Properties of nucleon in nuclear matter: once more
• Wilson coefficients and four-quark condensates in QCD sum rules for medium modifications of $D$ mesons
• Decay widths of bottomonium states in matter -- a field theoretic model for composite hadrons
• Spectral functions for $\bar{D}$ meson and ${\bar{D}}_0^{\ast }$ meson in nuclear matter with partial restoration of chiral symmetry
• Spin-isospin Kondo effects for ${\Sigma }_c$ and ${\Sigma }_c^{\ast }$ baryons and $\bar{D}$ and ${\bar{D}}^{\ast }$ mesons
• Formation spectra of charmed meson--nucleus systems using an antiproton beam
• Relation between the mass modification of the heavy-light mesons and the chiral symmetry structure in dense matter
• $D$ and $D^{\ast }$ meson mixing in spin-isospin correlated cold nuclear matter
• Appearance of novel modes of $\bar{D}$ mesons in the Dual Chiral Density Wave
• $D$ mesons as a probe of Casimir effect for chiral symmetry breaking
• Heavy-quark expansion for D and B mesons in nuclear matter
• Correlations between light and heavy flavors near the chiral crossover
• Singly heavy baryons in nuclear matter from an SU(3) chiral soliton model
• Mesic nuclei with a heavy antiquark
• Impact of isospin asymmetric nuclear medium on pseudoscalar and vector $B$ mesons
• Exotic baryons from a heavy meson and a nucleon