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Calculation of asymptotic normalization coefficients in the complex-ranged Gaussian basis
by D. A. Sailaubek, O. A. Rubtsova
|As Contributors:||Dinmukhamed Sailaubek|
|Submitted by:||Sailaubek, Dinmukhamed|
|Submitted to:||SciPost Physics Proceedings|
|Proceedings issue:||24th European Few Body Conference (University of Surrey, U.K.)|
|Subject area:||Nuclear Physics - Theory|
A new technique towards finding asymptotic normalization coefficients in the complex-ranged Gaussian basis is presented. It is shown that a diagonalisation procedure for the total Hamiltonian matrix in the given basis results in approximation for a radial part of the bound state wave function from the origin up to the far asymptotic distances, which allows to extract ANCs rather accurately. The method is illustrated by calculations of single-particle ANCs for nuclei bound states in cases of non-local nucleon-nucleus interactions, in particular, phenomenological global potentials with the Perey-Buck's non-locality.
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Anonymous Report 1 on 2019-10-29 Invited Report
in this contribution to the proceedings of the European Few-Body conference, Sailaubek and Rubtsova presents an original technique to compute the ANC of nuclear bound states described as a valence nucleon bound to a core. This method using a complex-range Gaussian basis is valid for both local an non-local interactions, which makes it particularly attractive.
The text is well written and should definitely be included within these proceedings. I have only three minor comments:
1. In (8), albeit evident, H_nn’ is not properly defined.
2. In (10), \phi_n’l should depend on (r’), I guess.
3. In the first line of Sec.3, I suggest to write: « we assume that the proton is captured by 12C in the in the 1p1/2 orbital to form the ground state of 13N. »
I assume that the proton is initially in an s continuum wave.