$\varphi$ meson properties in nuclear matter from QCD sum rules with chirally separated four-quark condensates

Abstract

The modification of the $\varphi$ meson spectrum in nuclear matter is studied in an updated QCD sum rule analysis, taking into account recent improvements in properly treating the chiral invariant and breaking components of four-quark condensates. Allowing both mass and decay width to change at finite density, the QCD sum rule analysis determines certain combinations of changes for these parameters that satisfy the sum rules equally well. A comprehensive error analysis, including uncertainties related to the behavior of various condensates at linear order in density, the employed renormalization scale and perturbative corrections of the Wilson coefficients, is used to compute the allowed ranges of these parameter combinations. We find that the $\varphi$ meson mass shift in nuclear matter is especially sensitive to the strange sigma term ${\sigma }_{sN}$, which determines the decrease of the strange quark condensate in nuclear matter. Specifically, we obtain a linear relation between the width ${\Gamma }_{\varphi }$ and mass shift $\Delta m_{\varphi }$ given as ${\Gamma }_{\varphi }=a\Delta m_{\varphi }+b{\sigma }_{sN}+c$ with $a=(3.947_{-0.130}^{+0.139})$, $b=(0.936_{-0.177}^{+0.180})$ and $c=-(7.707_{-5.679}^{+4.791})\mathrm{MeV}$.

arXiv comment9 pages, 4 figures

References in corpus (40)

• The 2009 World Average of ${\alpha }_s$
• Hadron properties in the nuclear medium
• QCD Sum Rules, a Modern Perspective
• Evidence for in-medium modification of the $\varphi$ meson at normal nuclear density
• Hadrons in strongly interacting matter
• phi photo-production from Li, C, Al, and Cu nuclei at Egamma=1.5 - 2.4 GeV
• What QCD sum rules tell about the rho meson
• Nucleon axial, tensor and scalar charges and $\sigma$-terms in lattice QCD
• Experimental evidence for an attractive p-$\varphi$ interaction
• Recent Progress in QCD Condensate Evaluations and Sum Rules
• Meson-nucleus potentials and the search for meson-nucleus bound states
• Absorption of the $\omega$ and $\varphi$ Mesons in Nuclei
• Mass Shift and Width Broadening of J/psi in hot gluonic plasma from QCD Sum Rules
• Measurement of the in-medium phi-meson width in proton-nucleus collisions
• Origins of Mass
• Constraining the strangeness content of the nucleon by measuring the $\varphi$ meson mass shift in nuclear matter
• Vector mesons in medium with finite three momentum
• Moments of $\varphi$ meson spectral functions in vacuum and nuclear matter
• Momentum dependence of the phi-meson nuclear transparency
• The $\varphi$ meson with finite momentum in a dense medium
• Phi meson spectral moments and QCD condensates in nuclear matter
• $\varphi$ meson mass and decay width in nuclear matter and nuclei
• Forward coherent $\varphi$-meson photoproduction from deuterons near threshold
• Comparative analysis of $\omega p$, $\varphi p$, and $J/\psi p$ scattering lengths from A2, CLAS, and GlueX threshold measurements
• $\varphi$ meson self-energy in nuclear matter from $\varphi N$ resonant interactions
• Strong absorption of hadrons with hidden and open strangeness in nuclear matter
• $\Phi$-meson--nucleus bound states
• Hadron Physics at J-PARC
• Nuclear-matter modification of decay widths in the $\varphi \to e^{+}{e}^{-}$ and $\varphi \to K^{+}{K}^{-}$ channels
• Dilepton Radiation from Strongly Interacting Systems
• $\varphi$ meson transparency in nuclei from $\varphi N$ resonant interactions
• QCD Sum Rule for Open Strange Meson $K_1^{\pm }$ in Nuclear Matter
• Ab-initio calculation of the proton and the neutron's scalar couplings for new physics searches
• A novel probe of chiral restoration in nuclear medium
• The masses of hadrons in the chiral symmetry restored vacuum
• New determination of $\mathcal{S}\mathcal{T}⟨N|\overline{q}{D}_{\mu }{D}_{\nu }q|N⟩$ based on recent experimental constraints
• Light vector correlator in medium: Wilson coefficients up to dimension 6 operators
• Vector meson mass in the chiral symmetry restored vacuum
• Trigger Merging Module for the J-PARC E16 Experiment
• Theory on Hadrons in Nuclear Medium

Cited by in corpus (5)

• Bound states of ${}_{\varphi }^9$Be and ${}_{\varphi \varphi }^6$He nuclei with $\varphi$+$\alpha$+$\alpha$ and $\varphi$+$\varphi$+$\alpha$ cluster models
• Analysis of spectral modification of $\varphi$ mesons at finite density using a transport approach in the 12 GeV pA reactions
• Study of light $\varphi$-mesic nuclei with HAL QCD $\varphi N$ interactions
• Studying the in-medium $\varphi$ meson spectrum through kaons in proton-nucleus reactions
• Probing $\varphi$N interaction through bound states of $\varphi \text{N-}\alpha$ system