  We consider the pionic atom spectroscopy by the (d,3He) reaction on an
odd-neutron nuclear target in this article, which has not been investigated so
far. In the (d,3He) reaction on the odd-neutron nuclear target, we can observe
the pionic states in the even-neutron nucleus with spin-parity 0+. We expect
that this pionic state does not have the additional shifts due to the effects
of the residual interaction between neutron-hole and pionic states. For the
even-neutron nuclear target cases, we may have to take into account the
residual interaction effects to deduce the binding energies of the pionic
states precisely from the high precision experimental data since the final
pionic states are the pion-particle plus neutron-hole states. Thus, in addition
to widening the domain of the pionic atom spectroscopy in nuclear chart, the
present study of the (d,3He) reaction on the odd-neutron target is considered
to be important to deduce extremely precise information on the binding energies
of the observed pionic states, and to know the pion properties and aspects of
the symmetries of the strong interaction at finite density. We modify the
formula of the even-even nuclear target case to study the pionic atom formation
spectra on the even-odd nuclear target and show the numerical results of 117Sn
target case. This experiment will be performed at RIBF/RIKEN in near future.
