Phi meson spectral moments and QCD condensates in nuclear matter

Abstract

A detailed analysis of the lowest two moments of the $\varphi$ meson spectral function in vacuum and nuclear matter is performed. The consistency is examined between the constraints derived from finite energy QCD sum rules and the spectra computed within an improved vector dominance model, incorporating the coupling of kanonic degrees of freedom with the bare $\varphi$ meson. In the vacuum, recent accurate measurements of the $e^{+}{e}^{-}\to K^{+}{K}^{-}$ cross section allow us to determine the spectral function with high precision. In nuclear matter, the modification of the spectral function can be described by the interactions of the kaons from $\varphi \to K\bar{K}$ with the surrounding nuclear medium. This leads primarily to a strong broadening and an asymmetric deformation of the $\varphi$ meson peak structure. We confirm that, both in vacuum and nuclear matter, the zeroth and first moments of the corresponding spectral functions satisfy the requirements of the finite energy sum rules to a remarkable degree of accuracy. Limits on the strangeness sigma term of the nucleon are examined in this context. Applying our results to the second moment of the spectrum, we furthermore discuss constraints on four-quark condensates and the validity of the commonly used ground state saturation approximation.

20 pages, 11 figures; published version. arXiv admin note: text overlap with arXiv:1507.03769

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• Big-Bang Nucleosynthesis
• Direct determination of the strange and light quark condensates from full lattice QCD
• Direct Evaluation of the Quark Content of Nucleons from Lattice QCD at the Physical Point
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• Scalar strangeness content of the nucleon and baryon sigma terms
• Remarks on the pion-nucleon sigma-term
• Constraining the strangeness content of the nucleon by measuring the $\varphi$ meson mass shift in nuclear matter
• Nuclear-matter modification of decay widths in the $\varphi \to e^{+}{e}^{-}$ and $\varphi \to K^{+}{K}^{-}$ channels
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• Heavy Hadrons in Nuclear Matter
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• Recent Progress in QCD Condensate Evaluations and Sum Rules
• Meson-nucleus potentials and the search for meson-nucleus bound states
• Attractive $N$-$\varphi$ Interaction and Two-Pion Tail from Lattice QCD near Physical Point
• The $\varphi$ meson with finite momentum in a dense medium
• $\varphi$ meson self-energy in nuclear matter from $\varphi N$ resonant interactions
• QCD Sum Rule for Open Strange Meson $K_1^{\pm }$ in Nuclear Matter
• $\varphi$ meson transparency in nuclei from $\varphi N$ resonant interactions
• In medium properties of $K^0$ and $\varphi$ mesons under an external magnetic field
• Light vector correlator in medium: Wilson coefficients up to dimension 6 operators
• $\varphi$ meson properties in nuclear matter from QCD sum rules with chirally separated four-quark condensates
• Bound states of ${}_{\varphi }^9$Be and ${}_{\varphi \varphi }^6$He nuclei with $\varphi$+$\alpha$+$\alpha$ and $\varphi$+$\varphi$+$\alpha$ cluster models
• Finite temperature sum rules in the vector channel at finite momentum
• Open-charm Euclidean correlators within heavy-meson EFT interactions
• Analysis of spectral modification of $\varphi$ mesons at finite density using a transport approach in the 12 GeV pA reactions
• Theory on Hadrons in Nuclear Medium
• Study of light $\varphi$-mesic nuclei with HAL QCD $\varphi N$ interactions
• Effect of the final state interaction of ${\eta }^{\prime }N$ on the ${\eta }^{\prime }$ photoproduction off nucleon
• Velocity dependence of the mass modifications of $\rho$ and $\omega$ mesons in 12 GeV $p+A$ reactions