Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Resonance-state properties from a phase shift analysis with the
  $S$-matrix pole method and the effective-range method   Asymptotic normalization coefficients (ANCs) are fundamental nuclear
constants playing an important role in nuclear physics and astrophysics. We
derive a new useful relationship between ANC of the Gamow radial wave function
and the renormalized (due to the Coulomb interaction) Coulomb-nuclear partial
scattering amplitude. We use an analytical approximation in the form of a
series for the nonresonant part of the phase shift which can be analytically
continued to the point of an isolated resonance pole in the complex plane of
the momentum. Earlier, this method which we call the $S$-matrix pole method was
used by us to find the resonance pole energy. We find the corresponding fitting
parameters for the $^5\rm{He},\,^5\rm{Li}$, and $^{16}\rm{O}$ concrete
resonance states. Additionally, based on the theory of the effective range, we
calculate the parameters of the $p_{3/2}$ and $p_{1/2}$ resonance states of the
nuclei $^5\rm{He}$ and $^5\rm{Li}$ and compare them with the results obtained
by the $S$-matrix pole method. ANC values are found which can be used to
calculate the reaction rate through the $^{16}\rm{O}$ resonances which lie
slightly above the threshold for the $\alpha^{12}\rm{C}$ channel.

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The categories of this paper are: hep-ph
19
The categories of this paper are: eess
3
The categories of this paper are: physics
21
The categories of this paper are: adap-org
32
The categories of this paper are: atom-ph
4
The categories of this paper are: cond-mat
31
The categories of this paper are: ao-sci
18
The categories of this paper are: econ
22
The categories of this paper are: chao-dyn
20
The categories of this paper are: acc-phys
24
The categories of this paper are: dg-ga
7
The categories of this paper are: hep-th
15
The categories of this paper are: nucl-ex
28
The categories of this paper are: alg-geom
10
The categories of this paper are: q-bio
2
The categories of this paper are: math