Energy levels of light antiprotonic atoms withl>0

Abstract

The fine and hyperfine structure of light antiprotonic atoms in states of angular momentum 1>0 is calculated. The fine (=/-dependent) structure is dominated by vacuum polarization up to a certain /-value (1=4 for pp), and by relativistic effects for larger 1.Meson exchange is important only in the hyperfine (=spindependent) structure of the P-states. For pp and ~ 3He, the hadronic part of the hyperfine structure is dominated by rt~

Neutron density distributions from antiprotonicPb208andBi209

“…splitting but comparable to the strong interaction shifts. The standard formula [61], extended to the case of an anomalous magnetic moment [62], gives…”

X-rays from antiprotonic3He and4He

“…Theoretical predictions of hadronic shifts and widths and the results of the other experiments are also included in Table 3. The electro-magnetic transition energies of the Le transitions are 10.440 keV for /53He and 11,129 keV for /34He [14,15]. The expected hadronic width of the 1 s level is several keV Table 3.…”

Measurement of balmer and lyman X-rays in antiprotonic hydrogen isotopes at pressures below 300 hPa

“…The strong width of the 2p-state is deduced to be Fzp=(32_+ 10)meV from the intensity balance of (1).…”

“…A direct measurement of the influence of the strong interaction requires the determination.of the deviation of a measured transition energy from the value calculated from quantum-electrodynamics (QED) as well as a broadening of the line shape. In hydrogen the electromagnetic energies for the Lyman e(2p ~ ls), Balmer e(3 d --* 2p) and Paschen c~(4f~3d) transitions are 9409eV, 1737eV and 607 eV, respectively [1,2]. The shifts and widths due to the strong interaction of the corresponding states are expected to be el~---500 eV, Fls---1000 eV, F2p ~20-50meV and F3a-~0.4 geV [3][4][5][6][7][8][9][10][11].…”