1997Physical review. D. Particles, fields, gravitation, and cosmology/Physical review. D. Particles and fieldsOpen access

Chirality and reliability of baryon QCD sum rules

Xuemin Jin, J. Tang

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Abstract

The QCD sum-rule method has been widely used in studying various baryon properties. For a given problem, there is usually more than one sum rule and they all do not work equally well. In this paper, we point out that chirality plays an important role in determining the reliability of a baryon sum rule. The contributions of positive- and negative-parity excited baryon states partially cancel each other in the chiral-odd sum rules, but add up in the chiral-even sum rules. As such, the chiral-odd sum rules are generally more reliable than the chiral-even sum rules. This allows one to identify the more reliable sum rules and use them in extracting the ground-state baryon property of interest. This is illustrated in an explicit example.

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What this paper is about

The QCD sum-rule method has been widely used in studying various baryon properties. For a given problem, there is usually more than one sum rule and they all do not work equally well. In this paper, we point out that chirality plays an important role in determining the reliability of a baryon sum rule. The contributions of positive- and negative-parity excited baryon states partially cancel each other in the chiral-odd sum rules, but add up in the chiral-even sum rules. As such, the chiral-odd sum rules are generally more reliable than the chiral-even sum rules. This allows one to identify the more reliable sum rules and use them in extracting the ground-state baryon property of interest. This is illustrated in an explicit example.

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Available abstract

The QCD sum-rule method has been widely used in studying various baryon properties. For a given problem, there is usually more than one sum rule and they all do not work equally well. In this paper, we point out that chirality plays an important role in determining the reliability of a baryon sum rule. The contributions of positive- and negative-parity excited baryon states partially cancel each other in the chiral-odd sum rules, but add up in the chiral-even sum rules. As such, the chiral-odd sum rules are generally more reliable than the chiral-even sum rules. This allows one to identify the more reliable sum rules and use them in extracting the ground-state baryon property of interest. This is illustrated in an explicit example.

Key concepts: QCD sum rules, Sum rule in quantum mechanics, Baryon, Physics, Particle physics, Quantum chromodynamics, Chiral perturbation theory, Parity (physics)

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