Formation spectra of charmed meson–nucleus systems using an antiproton beam

Abstract

We investigate the structure and formation of charmed meson–nucleus systems, with the aim of understanding the charmed meson–nucleon interactions and the properties of the charmed mesons in the nuclear medium. The D¯ mesic nuclei are of special interest, since they have tiny decay widths due to the absence of strong decays for the D¯N pair. Employing an effective model for the D¯N and DN interactions and solving the Klein–Gordon equation for D¯ and D in finite nuclei, we find that the D−–11B system has 1s and 2p mesic nuclear states and that the D0–11B system binds in a 1s state. In view of the forthcoming experiments by the PANDA and CBM Collaborations at the future FAIR facility and the J-PARC upgrade, we calculate the formation spectra of the [D−–11B] and [D0–11B] mesic nuclei for an antiproton beam on a 12C target. Our results suggest that it is possible to observe the 2p D− mesic nuclear state with an appropriate experimental setup.

Keywords

• Charmed mesic nuclei
• Formation spectra
• DN and D¯N interaction
• Klein–Gordon equation
• Green's function method