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• W2255818414 abstract "We introduce a simplified effective-range function for charged nuclei, related to the modified $K$ matrix but differing from it in several respects. Negative-energy zeros of this function correspond to bound states. Positive-energy zeros correspond to resonances and ``echo poles'' appearing in elastic-scattering phase-shifts, while its poles correspond to multiple-of-$ensuremath{pi}$ phase shifts. Pad'e expansions of this function allow one to parametrize phase shifts on large energy ranges and to calculate resonance and bound-state properties in a very simple way, independently of any potential model. The method is first tested on a $d$-wave $^{12}mathrm{C}+ensuremath{alpha}$ potential model. It is shown to lead to a correct estimate of the subthreshold-bound-state asymptotic normalization constant (ANC) starting from the elastic-scattering phase shifts only. Next, the $^{12}mathrm{C}+ensuremath{alpha}$ experimental $p$-wave and $d$-wave phase shifts are analyzed. For the $d$ wave, the relatively large error bars on the phase shifts do not allow one to improve the ANC estimate with respect to existing methods. For the $p$ wave, a value agreeing with the $^{12}mathrm{C}(^{6}mathrm{Li},d)^{16}mathrm{O}$ transfer-reaction measurement and with the recent remeasurement of the $^{16}mathrm{N}phantom{rule{4pt}{0ex}}ensuremath{beta}$-delayed $ensuremath{alpha}$ decay is obtained, with improved accuracy. However, the method displays two difficulties: the results are sensitive to the Pad'e-expansion order and the simplest fits correspond to an imaginary ANC, i.e., to a negative-energy ``echo pole,'' the physical meaning of which is still debatable." @default.
• W2255818414 created "2016-06-24" @default.
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• W2255818414 date "2017-09-01" @default.
• W2255818414 modified "2023-10-16" @default.
• W2255818414 title "Phase-shift parametrization and extraction of asymptotic normalization constants from elastic-scattering data" @default.
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• W2255818414 doi "https://doi.org/10.1103/physrevc.96.034601" @default.
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