Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Neutron skin in $^{48}$Ca determined from p+$^{48}$Ca and
  $^{48}$Ca+$^{12}$C scattering   In our previous paper, we determined $r_{\rm skin}^{208}({\rm exp})=0.278 \pm
0.035$~fm from $\sigma_{\rm R}$ for p+$^{208}$Pb scattering, using the Kyushu
(chiral) $g$-matrix folding model with the densities calculated with D1S-GHFB
with the angular momentum projection (AMP). The value agrees with that of
PREX2. Reaction cross sections $\sigma_{\rm R}$ are available for p+$^{48}$Ca
scattering, whereas interaction cross sections $\sigma_{\rm I}$ are available
for $^{48}$Ca + $^{12}$C scattering. As for $^{48}$Ca, the high-resolution $E1$
polarizability experiment ($E1$pE) yields $r_{\rm skin}^{48}(E1{\rm pE}) =0.14
\sim 0.20~{\rm fm}$. We determine $r_{\rm skin}^{48}({\rm exp})$ from the data
on $\sigma_{\rm R}$ for p+$^{48}$Ca scattering and from the data on
$\sigma_{\rm I}$ for $^{48}$Ca+$^{12}$C scattering. We use the Kyushu
$g$-matrix folding model with the densities calculated with the D1M-GHFB+AMP
densities. The D1M-GHFB+AMP proton and neutron densities are scaled so as to
reproduce the data under the condition that the radius $r_{\rm p}$ of the
scaled proton density equals the data $r_{\rm p}({\rm exp})$ determined from
the electron scattering. We deduce skin values $r_{\rm skin}=r_{\rm n}({\rm
exp})-r_{\rm p}({\rm exp})$ from the resulting $r_{\rm n}({\rm exp})$ and the
$r_{\rm p}({\rm exp})$ determined from electron scattering. The same procedure
is taken for D1S-GHFB+AMP. We regard $r_{\rm skin}^{48}(E1{\rm pE})$ as a
reference skin value. Using the reference skin value and taking D1M-GHFB+AMP,
we determine $r_{\rm skin}^{48}({\rm exp})=0.158 \pm 0.025$~fm for p+$^{48}$Ca
scattering and $0.160 \pm 0.058$~fm for $^{48}$Ca + $^{12}$C scattering. We
take the weighted mean and its error for the two skin values. The result is
$r_{\rm skin}^{48}({\rm exp})=0.158 \pm (0.023)_{\rm exp} \pm (0.012)_{\rm
th}~{\rm fm}$.

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The categories of this paper are: acc-phys
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The categories of this paper are: comp-gas
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The categories of this paper are: cond-mat
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The categories of this paper are: atom-ph
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The categories of this paper are: hep-lat
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The categories of this paper are: cmp-lg
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The categories of this paper are: mtrl-th
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The categories of this paper are: patt-sol
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The categories of this paper are: q-bio
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The categories of this paper are: bayes-an
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The categories of this paper are: adap-org
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The categories of this paper are: funct-an
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The categories of this paper are: astro-ph
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The categories of this paper are: alg-geom
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The categories of this paper are: physics
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The categories of this paper are: hep-ph