Reaction ¹²C(, p) with a Residual Nucleus in an Excited
1/2 State: An Investigation in the Pole Approximation
with an Exactly Conserved Total Nuclear Current

V. A. Zolenko and S. A. Soldatov

National Research Center Kharkov Institute of Physics and Technology, Akademicheskaya ul. 1, Kharkov, 310108 Ukraine

Received October 21, 1996

Abstract—The reaction ¹²C(, p) with a residual nucleus in an excited J = 1/2 state is investigated in a gauge-
invariant approach employing an exactly conserved nuclear current. The investigation is performed in the pole
approximation. The results agree satisfactorily with available experimental data, the deviation from them
decreasing monotonically as the photon energy is increased. The role of final-state interaction in the virtual
decay ¹²C p + ¹¹B* from the ¹S₀ and ³P₀ states of the initial nucleus is demonstrated on the basis of the
Findlay–Owens method. The vertex functions of this virtual decay are calculated in terms of the overlap inte-
grals of the Hartree–Fock wave functions of the ¹²C and ¹¹B* nuclei for the Skyrme–Tondeur forces, which
reproduce well the static features of the ¹²C nucleus. A multipole analysis of the reaction under investigation is
performed, and the leading multipole amplitudes are determined.

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