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The $^{15}{\rm N}(p,\gamma)^{16}{\rm O}$ reaction provides a path from the CNcycle to the CNO bi-cycle and CNO tri-cycle. The measured astrophysical factorfor this reaction is dominated by resonant capture through two strong$J^{\pi}=1^{-}$ resonances at $E_{R}= 312$ and 962 keV and direct capture tothe ground state. Recently, a new measurement of the astrophysical factor forthe $^{15}{\rm N}(p,\gamma)^{16}{\rm O}$ reaction has been published [P. J.LeBlanc {\it et al.}, Phys. Rev. {\bf C 82}, 055804 (2010)]. The analysis hasbeen done using the $R$-matrix approach with unconstrained variation of allparameters including the asymptotic normalization coefficient (ANC). The bestfit has been obtained for the square of the ANC $C^{2}= 539.2$ fm${}^{-1}$,which exceeds the previously measured value by a factor of $\approx 3$. Here wepresent a new $R$-matrix analysis of the Notre Dame-LUNA data with the fixedwithin the experimental uncertainties square of the ANC $C^{2}=200.34$fm${}^{-1}$. Rather than varying the ANC we add the contribution from abackground resonance that effectively takes into account contributions fromhigher levels. Altogether we present 8 fits, five unconstrained and threeconstrained. In all the fits the ANC is fixed at the previously determinedexperimental value $C^{2}=200.34$ fm${}^{-1}$. For the unconstrained fit withthe boundary condition $B_{c}=S_{c}(E_{2})$, where $E_{2}$ is the energy of thesecond level, we get $S(0)=39.0 \pm 1.1 $ keVb and normalized ${\tilde\chi}^{2}=1.84$, i.e. the result which is similar to [P. J. LeBlanc {\it etal.}, Phys. Rev. {\bf C 82}, 055804 (2010)]. From all our fits we get the range$33.1 \leq S(0) \leq 40.1$ keVb which overlaps with the result of [P. J.LeBlanc {\it et al.}, Phys. Rev. {\bf C 82}, 055804 (2010)]. We address alsophysical interpretation of the fitting parameters.

physical review. c. nuclear physics/physical review. c, nuclear physics

Astrophysical $S$ factor for the ${}^{15}{\rm N}(p,\gamma){}^{16}{\rm  O}$ reaction from $R$-matrix analysis and asymptotic normalization  coefficient for ${}^{16}{\rm O} \to {}^{15}{\rm N} + p$. Is any fit  acceptable?