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Masses of positive- and negative-parity hadron ground-states, including those with heavy quarks

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arxiv 2102.12568 v1 pith:QSXQCOSW submitted 2021-02-24 hep-ph hep-exhep-latnucl-exnucl-th

classification hep-phhep-exhep-latnucl-exnucl-th
keywords baryonsdiquarkstatesbaryoncorrelationsheavyimportantincluding
verification ladder T0 review T1 audit T2 compute T3 formal
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abstract

A symmetry-preserving treatment of a vector$\times$vector contact interaction is used to compute spectra of ground-state $J^P = 0^\pm, 1^\pm$ $(f\bar g)$ mesons, their partner diquark correlations, and $J^P=1/2^\pm, 3/2^\pm$ $(fgh)$ baryons, where $f,g,h \in \{u,d,s,c,b\}$. Results for the leptonic decay constants of all mesons are also obtained, including scalar and pseudovector states involving heavy quarks. The spectrum of baryons produced by this chiefly algebraic approach reproduces the 64 masses known empirically or computed using lattice-regularised quantum chromodynamics with an accuracy of 1.4(1.2)%. It also has the richness of states typical of constituent-quark models and predicts many baryon states that have not yet been observed. The study indicates that dynamical, nonpointlike diquark correlations play an important role in all baryons; and, typically, the lightest allowed diquark is the most important component of a baryon's Faddeev amplitude.

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Cited by 1 Pith paper

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  1. Insights into the $\mathbf{\gamma^{(*)} + N(940)\frac{1}{2}^+ \to \Delta(1700)\frac{3}{2}^{-}}$ transition

    hep-ph 2025-02 accept novelty 6.0 of 10

    First SCI-DSE quark-diquark calculation of the gamma* N -> Delta(1700) transition form factors and helicity amplitudes, benchmarked against JLab and CLAS data.

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