Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: A Practical Method to Solve Cut-off Coulomb Problems in the Momentum
  Space -- Application to the Lippmann-Schwinger Resonating-Group Method and
  the pd Elastic Scattering --   A practical method to solve cut-off Coulomb problems of two-cluster systems
in the momentum space is given. When a sharply cut-off Coulomb force with a
cut-off radius $\rho$ is introduced at the level of constituent particles,
two-cluster direct potential of the Coulomb force becomes in general a local
screened Coulomb potential. The asymptotic Hamiltonian yields two types of
asymptotic waves; one is an approximate Coulomb wave with $\rho$ in the
middle-range region, and the other a free (no-Coulomb) wave in the
longest-range region. The constant Wronskians of this Hamiltonian can be
calculated in either region. We can evaluate the Coulomb-modified nuclear phase
shifts for the screened Coulomb problem, using the matching condition proposed
by Vincent and Phatak for the sharply cut-off Coulomb problem. We apply this
method first to an exactly solvable model of the $\alpha \alpha$ scattering
with the Ali-Bodmer potential and confirm that a complete solution is obtained
with a finite $\rho$. The stability of nuclear phase shifts with respect to the
change of $\rho$ in some appropriate range is demonstrated in the $\alpha
\alpha$ resonating-group method (RGM) using the Minnesota three-range force. An
application to the pd elastic scattering is also discussed.

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The categories of this paper are: econ
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The categories of this paper are: plasm-ph
9
The categories of this paper are: nlin
3
The categories of this paper are: physics
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The categories of this paper are: mtrl-th
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The categories of this paper are: bayes-an
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The categories of this paper are: comp-gas
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The categories of this paper are: q-bio
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The categories of this paper are: solv-int
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The categories of this paper are: quant-ph
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The categories of this paper are: math
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The categories of this paper are: alg-geom
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The categories of this paper are: cond-mat
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The categories of this paper are: astro-ph
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The categories of this paper are: nucl-ex
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The categories of this paper are: q-alg