Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Spin-parities of the $P_c(4440)$ and $P_c(4457)$ in the
  One-Boson-Exchange Model   The LHCb collaboration has recently observed three pentaquark peaks, the
$P_c(4312)$, $P_c(4440)$ and $P_c(4457)$. They are very close to a pair of
heavy baryon-meson thresholds, with the $P_c(4312)$ located $8.9\,{\rm MeV}$
below the $\bar{D} \Sigma_c$ threshold, and the $P_c(4440)$ and $P_c(4457)$
located $21.8$ and $4.8\,{\rm MeV}$ below the $\bar{D}^* \Sigma_c$ one. The
spin-parities of these three states have not been measured yet. In this work we
assume that the $P_c(4312)$ is a $J^P = \tfrac{1}{2}^{-}$ $\bar{D} \Sigma_c$
bound state, while the $P_c(4440)$ and $P_c(4457)$ are $\bar{D}^* \Sigma_c$
bound states of unknown spin-parity, where we notice that the consistent
description of the three pentaquarks in the one-boson-exchange model can indeed
determine the spin and parities of the later, i.e. of the two $\bar{D}^*
\Sigma_c$ molecular candidates. For this determination we revisit first the
one-boson-exchange model, which in its original formulation contains a
short-range delta-like contribution in the spin-spin component of the
potential. We argue that it is better to remove these delta-like contributions
because, in this way, the one-boson-exchange potential will comply with the
naive expectation that the form factors should not have a significant impact in
the long-range part of the potential (in particular the one-pion-exchange
part). Once this is done, we find that it is possible to consistently describe
the three pentaquarks, to the point that the $P_c(4440)$ and $P_c(4457)$ can be
predicted from the $P_c(4312)$ within a couple of MeV with respect to their
experimental location. In addition the so-constructed one-boson-exchange model
predicts the preferred quantum numbers of the $P_c(4440)$ and $P_c(4457)$
molecular pentaquarks to be $\tfrac{3}{2}^-$ and $\tfrac{1}{2}^-$,
respectively.

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The categories of this paper are: cmp-lg
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The categories of this paper are: chem-ph
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The categories of this paper are: bayes-an
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The categories of this paper are: hep-lat
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The categories of this paper are: physics
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The categories of this paper are: plasm-ph
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The categories of this paper are: mtrl-th
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The categories of this paper are: supr-con
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The categories of this paper are: cs
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The categories of this paper are: funct-an
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The categories of this paper are: q-fin
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The categories of this paper are: eess
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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: math
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The categories of this paper are: solv-int