Precision spectroscopy of pionic 1s states of Sn nuclei and evidence for partial restoration of chiral symmetry in the nuclear medium

Abstract

Deeply bound 1s states of ${\pi }^{-}$ in ${}^{115,119,123}$Sn were preferentially observed using the Sn($d$,${}^3$He) pion-transfer reaction under the recoil-free condition. The 1s binding energies and widths were precisely determined, and were used to deduce the isovector parameter of the s-wave pion-nucleus potential to be $b_1=-0.115\pm 0.007m_{\pi }^{-1}$. The observed enhancement of $|b_1|$ over the free $\pi N$ value ($b_1^{\mathrm{free}}/b_1=0.78\pm 0.05$) indicates a reduction of the chiral order parameter, $f_{\pi }^{\ast }(\rho {)}^2/f_{\pi }^2\approx 0.64$, at the normal nuclear density, $\rho ={\rho }_0$.

4 pages including 3 postscript figures, RevTeX 4 with multirow.sty, submitted to Physical Review Letters

References in corpus (8)

• QCD Phenomenology based on a Chiral Effective Lagrangian
• Relativistic Hartree-Bogoliubov model with density-dependent meson-nucleon couplings
• Chiral Dynamics of Deeply Bound Pionic Atoms
• In-medium chiral perturbation theory beyond the mean-field approximation
• S-wave Meson-Nucleon Interactions and the Meson Mass in Nuclear Matter from Chiral Effective Lagrangians
• Evidence for partial chiral symmetry restoration from pionic atoms
• Renormalization of the isovector $\pi N$ amplitude in pionic atoms
• Density dependence of the s-wave repulsion in pionic atoms

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