Pion Polarizability Review

Moinester, M. A.

doi:10.7566/jpscp.26.021023

Cited by 2 publications

(2 citation statements)

References 29 publications

(62 reference statements)

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“…To get a sense of individual contributions at the physical point, we take the PDG value 𝑟 2 𝐸 = 0.435(4) fm 2 and physical 𝑚 𝜋 to arrive at the elastic 𝛼 𝐸 value of 15.08 (13). Then the inelastic value of 𝛼 𝐸 = −11.84(29) can be inferred from the total and the elastic.…”

Section: Pos(lattice2022)115mentioning

confidence: 99%

Pion polarizability from four-point functions in lattice QCD

Lee¹,

Wilcox²

2023

Proceedings of the 39th International Symposium on Lattice Field Theory — PoS(LATTICE2022)

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Polarizabilities reveal valuable information on the internal structure of hadrons in terms of charge and current distributions. For neutral hadrons, the standard approach is the background field method. But for a charged hadron, its acceleration under the applied field complicates the isolation of the polarization energy. In this work, we explore an alternative method based on four-point functions in lattice QCD. The approach offers a transparent picture on how polarizabilities arise from quark and gluon interactions. We carry out a proof-of-concept simulation on the electric polarizability of a charged pion, using quenched Wilson action on a 24 3 × 48 lattice at 𝛽 = 6.0 with pion mass from 1100 to 370 MeV. We report results on charge radius and electric polarizability. Our results from connected diagrams suggest that charged pion 𝛼 𝐸 is due to a large cancellation between elastic and inelastic contributions, leaving a small and positive value that has a relatively mild pion mass dependence.

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Section: Pos(lattice2022)115mentioning

confidence: 99%

Pion polarizability from four-point functions in lattice QCD

Lee¹,

Wilcox²

2023

Proceedings of the 39th International Symposium on Lattice Field Theory — PoS(LATTICE2022)

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“…A comprehensive review on pion polarizabilities from other theoretical approaches and experiment can be found in Ref. [8,9]. We also note that although Refs.…”

Section: Introductionmentioning

confidence: 99%

Magnetic polarizability of a charged pion from four-point functions

Lee,

Wilcox,

Alexandru

et al. 2023

Proceedings of the 40th International Symposium on Lattice Field Theory — PoS(LATTICE2023)

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Electromagnetic dipole polarizabilities are fundamental properties of a hadron that represent its resistance to deformation under external fields. For a charged hadron, the presence of acceleration and Landau levels complicates the isolation of its deformation energy in the conventional background field method. In this work, we explore a general method based on four-point functions in lattice QCD that takes into account all photon, quark and gluon interactions. The electric polarizability (𝛼 𝐸 ) has been determined from the method in a previous proof-of-principle simulation. Here we focus on the magnetic polarizability (𝛽 𝑀 ) using the same quenched Wilson action on a 24 3 × 48 lattice at 𝛽 = 6.0 with pion mass from 1100 to 370 MeV. The results from the connected diagrams show a large cancellation between the elastic and inelastic contributions, leading to a relatively small and negative value for 𝛽 𝑀 consistent with chiral perturbation theory.

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Pion Polarizability Review

Cited by 2 publications

References 29 publications

Pion polarizability from four-point functions in lattice QCD

Pion polarizability from four-point functions in lattice QCD

Magnetic polarizability of a charged pion from four-point functions

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