We study the inclusive near-threshold production of η mesons in π − meson-nucleus reactions on the basis of the first-collision model relying on the nuclear spectral function and including incoherent processes of η production in π − meson-proton collisions. The model accounts for the absorption of initial π − and final η mesons, the binding of intranuclear protons and their Fermi motion, as well as the effect of the scalar η -nucleus potential (or the in-medium shift of the η meson mass) on these processes. We calculate the differential and total cross sections for η production off carbon and tungsten nuclei at laboratory angles of 0 • -10 • and 10 • -45 • by π − mesons with momentum of 1.7 GeV/c, which is close to the threshold momentum for η creation on a free target proton at rest. We show that the calculated η production cross sections are larger than those, studied earlier in the η photoproduction reactions, by about two orders of magnitude. We also demonstrate that the high absolute values of the present differential and total η production cross sections in the momentum ranges of 0.2-0.3 GeV/c and 0.1-0.6 GeV/c, respectively, possess a high sensitivity to changes in the in-medium shift of the η mass. This offers the possibility of evaluating the above shift at these momenta from the respective data, which could be taken in future experiments at the GSI pion beam facility or at J-PARC.
arXiv:1906.02185v1 [nucl-th] 5 Jun 2019Studies of the η meson mass and its interaction in finite nuclei have received considerable interest in recent years due to the hope to extract valuable information on the partial restoration of chiral symmetry at finite density, on gluon dynamics in low-energy QCD, and on the possible formation of η bound states inside the nuclei (see, for example, Refs. [1,2]). Recent measurements of inclusive η photoproduction from carbon [3] and niobium [4] nuclear targets by the CBELSA/TAPS Collaboration in Bonn gave for the real part V 0 of the η -nucleus potential at saturation density ρ 0 (which is equal to the η meson mass shift in the medium) the combined value of V 0 = −(39 ± 7 stat ± 15 syst ) MeV [1,4] for average momentum of the produced η of ≈ 1.1 GeV/c. A new determination of the η -nucleus potential V 0 with lower average η momentum of 600 MeV/c was performed also by the CBELSA/TAPS Collaboration [5] by measuring the production of η mesons in coincidence with forward-going protons in photon-induced reactions on 12 C for initial photon energies of 1.3-2.6 GeV at the electron accelerator ELSA with the result V 0 = −(44 ± 16 stat ± 15 syst ) MeV, consistent with the above value for the potential V 0 , deduced from inclusive measurements for average η momentum of ≈ 1.1 GeV/c. The imaginary part W 0 of the η -nucleus optical potential was determined in [6] to be W 0 = −(13 ± 3 stat ± 3 syst ) MeV near-threshold from an extrapolation of the transparency ratio measurements on Nb at various η momenta well above threshold to near-threshold momenta. These numbers, with a small modulus of the imagin...