Testing in-medium $\pi N$ dynamics on pionic atoms

Abstract

A general algorithm for handling the energy dependence of meson-nucleon amplitudes in the nuclear medium has been recently applied to antikaons and to eta mesons. Here we test this approach on $\pi N$ amplitudes in pionic atoms where direct comparison can be made with ample experimental results. Applying this algorithm to a large-scale fit of 100 pionic-atom data points across the periodic table, which also include the `deeply-bound' states in Sn and Pb, reaffirms earlier conclusions on the density-dependent renormalization of the $\pi N$ threshold isovector amplitude $b_1$, or equivalently the renormalization of the pion decay constant $f_{\pi }$ in the nuclear medium.

V2 minor rephrasing, 15 pages, 3 figures, to be published in Nuclear Physics A special issue in memory of Gerry Brown

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Cited by in corpus (13)

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• Constraining the density dependence of the symmetry energy using the multiplicity and average $p_T$ ratios of charged pions
• Towards resolving the ${}_{\Lambda }^3$H lifetime puzzle
• Spectroscopy of pionic atoms in ${}^{122}\text{S}\mathbf{n}(\text{d},{}^3\text{H}\mathbf{e})$ reaction and angular dependence of the formation cross sections
• Revisiting the hypertriton lifetime puzzle
• Antinucleon-nucleus interaction near threshold from the Paris $\bar{N}N$ potential
• In-medium $\Lambda$ isospin impurity from charge symmetry breaking in the ${}_{\Lambda }^4\mathrm{H}-{}_{\Lambda }^4\mathrm{He}$ mirror hypernuclei
• In-medium antikaon interactions and bound states
• $K^{+}$-nucleus potentials from $K^{+}$-nucleon amplitudes
• Hypertriton lifetime
• Interrelation between $\bar{p}$-Ca Atom Spectra and Nuclear Density Profiles
• On the width of the $K^{-}$D atom ground state
• Structure and Width of the d*(2380) Dibaryon