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Distribution amplitudes of light diquarks

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Abstract

Accumulating evidence indicates that soft quark+quark (diquark) correlations play an important role in the structure and interactions of hadrons constituted from three or more valence-quarks; so, it is worth developing insights into diquark structure. Using a leading-order truncation of those equations needed to solve continuum two-valence-body bound-state problems, the leading-twist two-parton distribution amplitudes (DAs) of light-quark scalar and pseudovector diquarks are calculated. The diquark DAs are narrower and taller than the asymptotic profile that characterises mesons. Consequently, the valence quasiparticles in a diquark are less likely to carry a large light-front fraction of the system’s total momentum than those in a meson. These features may both influence the form of baryon DAs and be transmitted to diquark distribution functions (DFs), in which case their impact will be felt, e.g. in the proton’s u and d valence-quark DFs.

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Data Availability Statement

This manuscript has no associated data or the data will not be deposited. [Authors’ comment: All data generated during this study are represented in this published article.]

Notes

  1. “soft” means the correlations have electromagnetic sizes typical of mesons; hence, they are not pointlike diquarks.

  2. In such contact interaction studies, \(\varLambda = \zeta \) plays a dynamical role, defining the range of interactions, and \(Z_2\rightarrow 1\).

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Acknowledgements

We are grateful for constructive comments from Z.-F. Cui, Z.-N. Xu, P.-L. Yin and J.-L. Zhang. Work supported by: Jiangsu Province Hundred Talents Plan for Professionals; National Natural Science Foundation of China (grant 11822503); and China Postdoctoral Science Foundation (grant 2019M661783).

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Authors and Affiliations

  1. School of Physics, Nanjing University, Nanjing, 210093, Jiangsu, China

    Ya Lu, Craig D. Roberts, Hui-Yu Xing & Chang Xu

  2. Institute for Nonperturbative Physics, Nanjing University, Nanjing, 210093, Jiangsu, China

    Ya Lu, Craig D. Roberts, Hui-Yu Xing & Chang Xu

  3. European Centre for Theoretical Studies in Nuclear Physics and Related Areas, Villa Tambosi, Strada delle Tabarelle 286, 38123, Villazzano, TN, Italy

    Daniele Binosi & Minghui Ding

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  1. Ya Lu
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  2. Daniele Binosi
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  3. Minghui Ding
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  4. Craig D. Roberts
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Correspondence to Craig D. Roberts.

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Communicated by Andre Peshier

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Lu, Y., Binosi, D., Ding, M. et al. Distribution amplitudes of light diquarks. Eur. Phys. J. A 57, 115 (2021). https://doi.org/10.1140/epja/s10050-021-00427-6

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