The energies and ANCs for 5Li resonances deduced from experimental p-α scattering phase shifts using the effective-range and Δ methodsстатья
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Дата последнего поиска статьи во внешних источниках: 16 декабря 2020 г.
Аннотация:Recently a new Δ method for deducing the energy and asymptotic normalization coefficient (ANC) from phase-shift data has been formulated and applied to resonance states. This differs from the conventional effective-range function (ERF) method by fitting only the Δ_l function included in the nuclear part of the effective radius function K_l(k^2), which is determined by the Coulomb-nuclear scattering phase shift. Both methods use the same description of the scattering amplitude and the original formulas. However, after inserting the modified function K_l(k^2) to the scattering amplitude for charged particles, a term containing the psi function appears in the denominator of the partial amplitude. This leads to the inapplicability of the ERF method when increasing the product of charges of colliding particles. Moreover, even for lower charges it is not clear that the results of the ERF method are accurate enough. The Coulomb part of K_l(k^2) forms a background which smooths its energy dependence. Therefore, one needs to find when the ERF method is inaccurate. This requires recalculating some published results using the Δ method. This was done in a recent paper for resonances in the α-4He scattering. Here, the Δ method is applied to 5Li using the experimental p-4He scattering phase-shift data in the ground P_{3/2} and in the first exited P_{1/2} resonance states. The results are compared with those obtained by the ERF method. The main changes concern resonance energy and width. The Δ method for resonances differs from the method which was proposed for bound states by Ramírez Suárez and Sparenberg (2017) which was also called the Δ method where a pole condition is defined by the Eq. Δ_l=0. Here, the standard pole condition, including the Coulomb part in the relate equation, is used for a resonant state.