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arXiv · 1603.02376

Coupled channel analysis of molecule picture of $P_{c}(4380)$

Yuki Shimizu·Daiki Suenaga·Masayasu Harada
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Abstract

We construct a potential obtained by one-pion exchange for the coupled channel $\Sigma_c^\ast$$\bar{D}$-$\Sigma_c$$\bar{D}^\ast$, and solve the coupled Schr\"{o}dinger equations to determine the binding energy. We find that there exists one or two bound states with the binding energy of several MeV below the threshold of $\Sigma_c^\ast$ and $\bar{D}$, dominantly made from a $\Sigma_c^\ast$ baryon and a $\bar{D}$ meson, with the size of about $1.5$fm for wide parameter region. We also study the pentaquark states including a $b$ quark and/or an anti-$b$ quark. We show that there exist pentaquarks including $c\bar{b}$, $b\bar{c}$ and $b\bar{b}$, all of which lie at about $10$MeV below the corresponding threshold and have size of about $1.5$fm.

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Yuki Shimizu, Daiki Suenaga, Masayasu Harada. 2016-03-08. Coupled channel analysis of molecule picture of $P_{c}(4380)$. https://doi.org/10.1103/physrevd.93.114003

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