More about the $B$ and $D$ mesons in nuclear matter

Abstract

We calculate the shifts in decay constants of the pseudoscalar $B$ and $D$ mesons in nuclear medium in the frame work of QCD sum rules. We write those shifts in terms of the $B-N$ and $D-N$ scattering lengths and an extra phenomenological parameter entered to calculations. Computing an appreciate forward scattering correlation function, we derive the QCD sum rules for the $B-N$ and $D-N$ scattering lengths and the extra phenomenological parameter in terms of various operators in nuclear medium. We numerically find the values of the shifts in the decay constants compared to their vacuum values. Using the sum rules obtained, we also determine the shifts in the masses of these particles due to nuclear matter and compare the results obtained with the previous predictions in the literature.

arXiv comment16 Pages, 4 Figures and 3 Tables

References in corpus (28)

• Current correlation functions, QCD sum rules and vector mesons in baryonic matter
• QCD Sum Rules and Applications to Nuclear Physics
• Mass modification of D-meson at finite density in QCD sum rule
• QCD sum rules for D and B mesons in nuclear matter
• QCD Sum Rules, Scattering Length and the Vector Mesons in Nuclear Medium
• Valid QCD Sum Rules for Vector Mesons in Nuclear Matter
• The $\rho$ Spectral Function in a Relativistic Resonance Model
• On QCD sum rules for vector mesons in nuclear medium
• $\bar{\mathrm{D}}$ and $\mathrm{B}$ mesons in nuclear medium
• QCD sum rules for ρ, ω, ϕmeson-nucleon scattering lengths and the mass shifts in nuclear medium
• $g_{ND{\Lambda }_c}$ from QCD Sum Rules
• The spectral function of the omega meson in nuclear matter from a coupled-channel resonance model
• In-medium mass modifications of the $D_0$ and $B_0$ mesons with the QCD sum rules
• QCD condensates and hadron parameters in nuclear matter: self-consistent treatment, sum rules and all that
• Scattering of vector mesons off nucleons
• QCD sum rule analysis for light vector and axial-vector mesons in vacuum and nuclear matter
• Mass and Width of the Rho Meson in a Nuclear Medium from Brown-Rho Scaling and QCD Sum Rules
• Coherent Photoproduction of Pions on Spin-Zero Nuclei in a relativistic, non-local Model
• Evidence for In-Medium Changes of Four-Quark Condensates
• Analysis of the ${\Sigma }_Q$ baryons in the nuclear matter with the QCD sum rules
• Analysis of the ${\Lambda }_Q$ baryons in the nuclear matter with the QCD sum rules
• Coherent Photoproduction of Eta-Mesons on Spin-Zero Nuclei in a Relativistic, Non-local Model
• In-Medium Modifications of Scalar Charm Mesons in Nuclear Matter
• Nucleon QCD sum rules in nuclear matter including four-quark condensates
• Weighted finite energy sum rules for the omega meson in nuclear matter
• Finite density QCD sum rules for nucleons
• Role of Four-Quark Condensates in QCD Sum Rules
• Hadron Spectroscopy at PANDA

Cited by in corpus (27)

• Heavy Hadrons in Nuclear Matter
• Recent Progress in QCD Condensate Evaluations and Sum Rules
• Charmonium Spectroscopy in Strong Magnetic Fields by QCD Sum Rules: S-Wave Ground States
• D mesons in a magnetic field
• D meson mass increase by restoration of chiral symmetry in nuclear matter
• Analysis of the heavy mesons in the nuclear matter with the QCD sum rules
• Open bottom mesons in hot asymmetric hadronic medium
• Kondo effect in charm/bottom nuclei
• In-medium pseudoscalar $D/B$ mesons and charmonium decay width
• The mass of heavy-light mesons in a constituent quark picture with partially restored chiral symmetry
• Heavy Vector and Axial-Vector Mesons in Hot and Dense Asymmetric Strange Hadronic Matter
• The strong ${\Lambda }_{b}NB$ and ${\Lambda }_{c}ND$ vertices
• Scalar and vector self-energies of heavy baryons in nuclear medium
• Spectral functions for $\bar{D}$ meson and ${\bar{D}}_0^{\ast }$ meson in nuclear matter with partial restoration of chiral symmetry
• ${\eta }_c$-nucleus bound states
• In-medium properties of pseudoscalar $D_s$ and $B_s$ mesons
• Strong couplings of negative and positive parity nucleons to the heavy baryons and mesons
• Heavy vector and axial-vector $D$ mesons in hot magnetized asymmetric nuclear matter
• Masses and decay widths of scalar $D_0$ and $D_{s0}$ mesons in strange hadronic medium
• $D$ mesons as a probe of Casimir effect for chiral symmetry breaking
• Chiral-partner D mesons in a heat bath within QCD sum rules
• 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
• An alternative way to decipher the nature of the doubly charmed tetraquark $T_{cc}(3875{)}^{+}$: its antiparticle $T_{\bar{c}\bar{c}}(3875{)}^{-}$ photoproduction off nuclei near threshold
• Mesic nuclei with a heavy antiquark
• Impact of isospin asymmetric nuclear medium on pseudoscalar and vector $B$ mesons
• Semileptonic $B\to \bar{D}$ transition in nuclear medium