$\varphi$ meson mass and decay width in nuclear matter and nuclei

Abstract

The mass and decay width of the $\varphi$ meson in cold nuclear matter are computed in an effective Lagrangian approach. The medium dependence of these properties are obtained by evaluating kaon-antikaon loop contributions to the $\varphi$ self-energy, employing the medium-modified kaon masses, calculated using the quark-meson coupling model. The loop integral is regularized with a dipole form factor, and the sensitivity of the results to the choice of cutoff mass in the form factor is investigated. At normal nuclear matter density we find a downward shift of the $\varphi$ mass by a few percent, while the decay width is enhanced by an order of magnitude. For a large variation of the cutoff mass parameter, the results for the $\varphi$ mass and the decay width turn out to vary very little. Our results support results in the literature which suggest that one should observe a small downward mass shift and a large broadening of the decay width. In order to explore the possibility of studying the binding and absorption of $\varphi$ mesons in nuclei, we also present the single-particle binding energies and half-widths of $\varphi$-nucleus bound states for some selected nuclei.

arXiv commentTo appear in Physics Letters B; 8 pages, 4 figures

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• Momentum dependence of pion-induced $\varphi$ meson production on nuclei near threshold
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• Heavy-heavy and heavy-light mesons in cold nuclear matter
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• Medium modifications of $1P$-wave charmonia ${\chi }_{cJ}(1P)$ in cold nuclear matter