# Neural Network Study of Hidden-Charm Pentaquark Resonances

**Authors:** Halil Mutuk

arXiv: 1904.09756 · 2019-09-10

## TL;DR

This paper investigates hidden-charm pentaquark states using a neural network approach within a nonrelativistic quark model, predicting their parities and masses, and providing theoretical insights into recently observed exotic states.

## Contribution

It introduces a neural network method to solve the 5-body Schrödinger equation for pentaquarks in a nonrelativistic quark model, predicting properties of unmeasured states.

## Key findings

- Predicted parities for observed pentaquarks.
- Calculated mass of a potential new pentaquark state.
- Provided theoretical support for experimental observations.

## Abstract

Very recently, LHCb experiment announced the observation of hidden-charm pentaquark states $P_c(4312)$, $P_c(4440)$, and $P_c(4457)$ near the $ \Sigma_c \bar{D}$ and $ \Sigma_c \bar{D}^\ast$ thresholds, respectively. In this present work, we studied thesepentaquarks in the framework of the nonrelativistic quark model with four types of potential. We solved 5-body Schr\"odinger equation by using artificial neural network method and made predictions of parities for these states which are not determined in the experiment yet. The mass of another possible pentaquark state near the $\bar{D}^\ast \Sigma_c^\ast$ with $J^P=5/2^-$ is also calculated.

## Full text

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## Figures

3 figures with captions in the complete paper: https://tomesphere.com/paper/1904.09756/full.md

## References

51 references — full list in the complete paper: https://tomesphere.com/paper/1904.09756/full.md

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Source: https://tomesphere.com/paper/1904.09756