An exemplary case of chiral EFT for resonances: Delta (1232)

Pascalutsa, Vladimir

doi:10.22323/1.086.0095

Proceedings of 6th International Workshop on Chiral Dynamics — PoS(CD09) 2010

DOI: 10.22323/1.086.0095

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An exemplary case of chiral EFT for resonances: Delta (1232)

Vladimir Pascalutsa¹

Abstract: Several conceptual points concerning the inclusion of the ∆(1232) resonance in the framework of chiral effective-field theory are discussed, with an emphasis on the problem of power counting in the baryon sector in general. I also formulate a new dispersion relation in the pion-mass squared (or, the quark mass) and make a link between the power counting and the analytic properties of chiral expansion. A controversy regarding the determination of the proton's magnetic polarizability from Compton-scattering data… Show more

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2012

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“…In this work, the problem is investigated by using the recently established pion-mass dispersion relation [17,18]:…”

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confidence: 99%

Limitations of the heavy-baryon expansion as revealed by a pion-mass dispersion relation

Hall

Pascalutsa

2012

Eur. Phys. J. C

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The chiral expansion of nucleon properties such as mass, magnetic moment, and magnetic polarizability are investigated in the framework of chiral perturbation theory, with and without the heavy-baryon expansion. The analysis makes use of a pion-mass dispersion relation, which is shown to hold in both frameworks. The dispersion relation allows an ultraviolet cutoff to be implemented without compromising the symmetries. After renormalization, the leading-order heavy-baryon loops demonstrate a stronger dependence on the cutoff scale, which results in weakened convergence of the expansion. This conclusion is tested against the recent results of lattice QCD simulations for nucleon mass and isovector magnetic moment. In the case of the polarizability, the situation is even more dramatic as the heavy-baryon expansion is unable to reproduce large soft contributions to this quantity. Clearly, the heavy-baryon expansion is not suitable for every quantity.

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“…In this work, the problem is investigated by using the recently established pion-mass dispersion relation [17,18]:…”

mentioning

confidence: 99%

Limitations of the heavy-baryon expansion as revealed by a pion-mass dispersion relation

Hall

Pascalutsa

2012

Eur. Phys. J. C

Self Cite

View full text Add to dashboard Cite

show abstract

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An exemplary case of chiral EFT for resonances: Delta (1232)

Cited by 1 publication

References 28 publications

Limitations of the heavy-baryon expansion as revealed by a pion-mass dispersion relation

Limitations of the heavy-baryon expansion as revealed by a pion-mass dispersion relation

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