Abstract
We study the formation of deeply bound pionic atoms in the (d ,3 He) reactions theoretically and show the energy spectra of the emitted 3 He at finite angles. We find that the different combinations of the pion-bound and neutron-hole states dominate the formation spectra at different scattering angles because of the matching condition of the reaction. We conclude that the observation of the (d ,3 He) reaction at finite angles will provide the systematic information of the pionic bound states in each nucleus, and it will help to develop the study of the pion properties and the partial restoration of chiral symmetry in nuclei.
Highlights
Bound pionic atom is one of the best systems to deduce pion properties at finite density and to obtain precise information on partial restoration of chiral symmetry in nuclei [1].So far, the deeply bound pionic states have been experimentally produced in the forward (d,3He) reaction
We study the formation of deeply bound pionic atoms in the (d,3He) reactions theoretically and show the energy spectra of the emitted 3He at finite angles
We conclude that the observation of the (d,3He) reaction at finite angles will provide the systematic information of the pionic bound states in each nucleus, and it will help to develop the study of the pion properties and the partial restoration of chiral symmetry in nuclei
Summary
Bound pionic atom is one of the best systems to deduce pion properties at finite density and to obtain precise information on partial restoration of chiral symmetry in nuclei [1]. We need more systematic information on the bound states for the unique determination of the pion-nucleus interaction, which is required to fix the potential strength related to chiral symmetry [8]. [8] that the simultaneous observation of various pionic bound states such as 1s and 2s in the same nucleus may be helpful to reduce these errors and to develop our studies Along with this line, in actual experiments, the pionic 2s state observation with the 1s state has been expected in new high precision experiment in RIBF/RIKEN [8,9,10]. EPJ Web of Conferences states due to the matching condition with different momentum transfer, and expect to determine the binding energies and widths of various pionic states simultaneously in each nucleus
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