ANCs and Radiation Widths of the First Two Resonances in

Asymptotic normalization coefficients (ANC), defining the normalization of the tail of nuclear bound-state wave functions projected onto the two-body channels, play an important role in nuclear reaction and structure theory. In our previous work, we have demonstrated that ANCs can be successfully used as normalization coefficients for the nonresonant capture amplitudes in the R matrix approach [1]. The purpose of this work is to demonstrate in the R matrix approach that ANCs can be used to put limits on the value of the radiative width of a resonance decaying to a bound state with known ANC. Let us consider proton radiative capture to a bound state through an isolated singlechannel resonance with the proton partial width Γ p. In the R matrix method, the radiative width of the resonance decaying to the bound state is given by . 2 2 / 1 (int) 2 / 1 ) ( | ) ( ) ( | ) ( E E E ch γ γ γ Γ Γ Γ − = (1) Here,