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- W2202360481 abstract "Recently we have published a paper [Irgaziev, Phys. Rev. C 91, 024002 (2015)] where the $S$-matrix pole method (SMP) which is only valid for resonances has been developed to derive a new explicit expression for the asymptotic normalization coefficient (ANC), and is applied to the low-energy resonant states of nucleon$+alpha$ and $alpha+^{12}rm{C}$ systems. The SMP results are compared with the effective-range expansion method (EFE) results. In the present paper the SMP and EFE plus the Pad'e-approximation are applied to study the excited 2$^+$ resonant states of $^{8}rm{Be}$. A contradiction is found between descriptions of the experimental phase shift data for $alphaalpha$ scattering and of the $^{8}rm{Be}$ resonant energy for 2$^+$ state. Using the EFE method, we also calculate the ANC for the $^{8}rm{Be}$ ground 0$^+$ state with a very small width. This ANC agrees well with the value calculated using the known analytical expression for narrow resonances. In addition, for the $alpha+^{12}rm{C}$ states1$^-$ and 3$^-$ the SMP results are compared with the Pad'e-approximation results. We find that the Pad'e-approximation improves a resonance width description compared with the EFE results. The EFE method is also used to calculate the ANCs for the bound $^{16}rm{O}$ ground 0$^+$ state and for the excited 1$^-$ and 2$^+$ levels which are situated near the threshold of $alpha+^{12}rm{C}$ channel." @default.
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- W2202360481 date "2016-01-15" @default.
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- W2202360481 title "Asymptotic normalization coefficients of resonant and bound states from the phase shifts for<mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML><mml:mrow><mml:mi>α</mml:mi><mml:mi>α</mml:mi></mml:mrow></mml:math>and<mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML><mml:mrow><mml:mi>α</mml:mi><mml:mmultiscripts><mml:mi mathvariant=normal>C</mml:mi><mml:mprescripts /><mml:none /><mml:mn>12</mml:mn></mml:mmultiscripts></mml:mrow></mml:math>scattering" @default.
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- W2202360481 doi "https://doi.org/10.1103/physrevc.93.014612" @default.
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