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• W4384697931 abstract "A quark+diquark Faddeev equation treatment of the baryon bound state problem in Poincar'e-invariant quantum field theory is used to deliver parameter-free predictions for all six $Delta$-baryon elastic weak form factors. Amongst the results, it is worth highlighting that there are two distinct classes of such $Delta$-baryon form factors, $(g_1, g_3, G_{piDeltaDelta})$, $(h_1, h_3, H_{piDeltaDelta})$, the functions within each of which are separately linked via partial conservation of axial current (PCAC) and Goldberger-Treiman (GT) relations. Respectively within each class, the listed form factors possess qualitatively the same structural features as the nucleon axial, induced pseudoscalar, and pion-nucleon coupling form factors. For instance, the $Delta$-baryon $g_1$ axial form factor can reliably be approximated by a dipole function, characterised by an axial charge $g_A^{Delta^+}=0.71(9)$ and mass-scale $m_A^Delta=0.95(2)m_Delta$. Moreover, the two distinct $Delta$-baryon PCAC form factor relations are satisfied to a high degree of accuracy on a large range of $Q^2$; the associated GT relations present good approximations only on $Q^2/m_Delta^2 simeq 0$; and pion pole dominance approximations are reliable within both classes. There are two $piDeltaDelta$ couplings: $g_{piDeltaDelta} = 10.46(1.88)$; $h_{piDeltaDelta}= 35.73(3.75)$; and the associated form factors are soft. Such couplings commonly arise in phenomenology, which may therefore benefit from our analyses. A flavour decomposition of the axial charges reveals that quarks carry $71$% of the $Delta$-baryon spin. The analogous result for the proton is $approx 65$%." @default.
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• W4384697931 date "2023-07-18" @default.
• W4384697931 modified "2023-10-16" @default.
• W4384697931 title "$$varDelta $$-Baryon axialvector and pseudoscalar form factors, and associated PCAC relations" @default.
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• W4384697931 doi "https://doi.org/10.1140/epja/s10050-023-01066-9" @default.
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