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Hadron Wave Functions from Lattice QCD

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Abstract

I give a brief account of the status and perspectives of lattice calculations of the light-front wave functions at small transverse separations, usually referred to as hadron distribution amplitudes (DAs). The existing calculations indicate that the corrections to the asymptotic form of such distributions at large scales are rather small as compared to earlier model estimates. Lattice calculations also suggest an alternating pattern of such corrections for the nucleon resonances with increasing mass. Several recent results are discussed, including precise determination of the second moment of the pion DA, leading-twist DAs of the nucleon and \(N^*(1535)\), and the first calculation of the flavor-symmetry breaking corrections in the DAs of the baryon octet.

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Authors and Affiliations

  1. Institut für Theoretische Physik, Universität Regensburg, 93040, Regensburg, Germany

    V. M. Braun

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  1. V. M. Braun
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Correspondence to V. M. Braun.

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Project of the Regensburg Lattice Collaboration (RQCD).

Supported by the German Science Foundation through the Collaborative Research Center Program SFB TR55.

This article belongs to the special issue “Nucleon Resonances”.

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Braun, V.M. Hadron Wave Functions from Lattice QCD . Few-Body Syst 57, 1019–1026 (2016). https://doi.org/10.1007/s00601-016-1143-8

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