Pion-transfer (n, d) and (d, He) reactions leading to deeply bound pionic atoms |
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Authors: | H Toki S Hirenzaki T Yamazaki |
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Institution: | Department of Physics, Tokyo Metropolitan University, Setagaya, Tokyo 158, Japan Institute for Nuclear Study, University of Tokyo, Tanashi, Tokyo 188, Japan |
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Abstract: | Theoretical studies are given on the (n, d) and (d, 3He) reactions leading to deeply bound pionic atoms in heavy nuclei of configuration (nl)π·jn−1]J. The cross sections for various pionic and neutron-hole configurations in the case of a 208Pb target are calculated at incident energies 300–1000 MeV/u by using the effective number approach and the eikonal approximation for distortion. The effective number with a pion in the 1s or 2p state and a neutron hole in the
orbit peaks around the same incident energy (Tn = 600 MeV) as the elementary cross section n+n→d+π−, where the momentum transfer matches the angular-momentum transfer of L = 5–7. The DWIA cross section for (n,d) producing a pion in the 1s or 2p orbit at Tn = 600 MeV is found to be around 42 or 75 μb/sr, respectively. At Tn = 350 MeV, where the momentum transfer is small, quasi-substitutional states of configurations
and
are preferentially populated with (n, d) cross sections of 95 and 190 μb/sr, respectively. The (d, 3He) cross sections are estimated to be an order of magnitude smaller than the (n, d) cross sections. Thus, the (n, d) and (d, 3He) reactions are found to be suited for the production of deeply bound pionic atoms. |
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