A relation between proton and neutron asymptotic normalization coefficients for light mirror nuclei and its relevance to nuclear astrophysics

Physics – Nuclear Physics

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The astrophysical S-factor associated with the peripheral proton capture reaction B(p,γ)A at stellar energies is related to the Asymptotic Normalization Coefficient (ANC) of the virtual decay A arrow B + p. The same ANCs play a crucial role in other peripheral processes such as transfer reactions whose cross sections are significantly higher and therefore more easily measurable than those of the direct capture processes at astrophysically relevant energies. The study of ANCs of astrophysical interest is a new and rapidly developing direction in modern experimental nuclear physics. However, in order to exploit these ideas to determine the ANCs for light proton-rich nuclei of importance to nuclear astrophysics the corresponding transfer reactions often require the use of weak radioactive beams, which generally involves more difficult and less accurate experiments than are possible with stable beams. In this talk we point out that the ANC of the virtual neutron decay of the nucleus mirror to A, which may be susceptible to study with stable beams, is related in a model independent way by the charge symmetry of nuclear forces to the ANC of the corresponding proton decay of A. Near the edge of stability, where neutron separation energies become very small, the corresponding mirror proton states manifest themselves as resonances.

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