# Exotic Hadron in Pole-dominated QCD Sum Rules

## TL;DR

This paper investigates the pentaquark $ heta^+$ using QCD sum rules, emphasizing the importance of the Borel window and operator product expansion to reliably determine its properties, including mass and positive parity.

## Contribution

It introduces a method to accurately extract pentaquark properties by optimizing the Borel window and expanding the operator product to dimension 15 within factorization.

## Key findings

- Pentaquark $ heta^+$ mass estimated at 1.68±0.22 GeV.
- Parity of $ heta^+$ determined to be positive.
- Method reduces high energy contamination in sum rule analysis.

## Abstract

We study pentaquark $\Theta^{+} (I=0,J=1/2)$ in the QCD sum rules emphasizing that we can not extract any properties of the pentaquark outside of the Borel window. To find the appropriate Borel window, we prepare a favorable set up of the correlators and carry out the operator product expansion up to dimension 15 within factorization hypothesis. Our procedures reduce the unwanted high energy contaminations and enhance the low energy correlation. In the Borel window, independent analyses for the chiral-even and odd sum rules give the consistent values of the $\Theta^+$ mass, $1.68\pm0.22$ GeV, and the residue. The parity is found to be {\it positive}.