Asymptotic normalization coefficients for ¹⁴N↔¹³C+p from ¹³C(³He,d)¹⁴N

The ¹³C(³He,d)¹⁴N proton transfer reaction has been measured at an incident energy of 26.3 MeV. Angular distributions for proton transfer to the ground state and excited states at 2.313 and 3.948 MeV in ¹⁴N are analyzed within the framework of the modified DWBA. Asymptotic normalization coefficients (ANC’s) defining the amplitude of the tails of the ¹⁴N bound-state wave functions in the ¹³C+p channel are extracted that are in excellent agreement with values found previously with the ¹³C(¹⁴N,¹³C)¹⁴N reaction. We conclude that C_p1/2²=18.2(9) fm^-1 and C_p3/2²=0.91(14) fm^-1 for the virtual decay ¹⁴N(g.s.)¹³C+p. These are necessary for the analysis of the ¹⁴N(⁷Be,⁸B)¹³C and ¹⁴N(¹¹C,¹²N)¹³C reactions to extract the ANC’s for ⁷Be+p⁸B and ¹¹C+p¹²N, which determine the direct radiative capture cross sections ⁷Be(p,γ)⁸B and ¹¹C(p,γ)¹²N at astrophysical energies.