Analysis of analog resonances in 115In(p,p)115In between 6.6 and 7.6 MeV

The ¹¹⁵In(p,p)¹¹⁵In reaction for $E_p=6.6to7.6$ MeV has been analyzed. The target spin of ¹¹⁵In is 9/2⁺. This means that there can be a maximum of 10 partial waves in each analog resonance. However, there are usually one or two dominant single-particle states which contribute to a resonance. In this reaction the s_1/2 and d_3/2 channels are dominant in the energy region from 6.6 to 7.6 MeV. Fits to the differential cross-section data of Thompson et al. were found to be quite good when only these two channels were included for the positive-parity states. The s_1/2 and d_3/2 channels can couple to the 9/2⁺ target spin to give total spins and parities of 4⁺, 5⁺, and 3⁺, 4⁺, 5⁺, 6⁺. All of these states were seen and analyzed. A sum rule is derived which involves the total spins of the resonances. The total spins assigned are found to be consistent with this sum rule. There is a strong amount of mixing in the 4⁺ and 5⁺ states.