Low-energy axial-vector transitions from decuplet to octet baryons

M{\aa}ns Holmberg; Stefan Leupold

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Low-energy axial-vector transitions from decuplet to octet baryons

M{aa}ns Holmberg, Stefan Leupold

High Energy Physics - Phenomenology · Submitted 30 Sep 2019

abstract compiled · 2026-09-23 · no language-model review

The authors' main claim Therefore the corresponding low-energy constant can be determined in any strangeness sector.

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Axial-vector transitions of decuplet to octet baryons are parametrized at low energies guided by a complete and minimal chiral Lagrangian up to next-to-leading order. It is pointed out that beyond the well-known leading-order term, there is only one contribution at next-to-leading order. This contribution is flavor symmetric. Therefore the corresponding low-energy constant can be determined in any strangeness sector. As functions of this low-energy constant, we calculate the decay widths and Dalitz distributions for the decays of decuplet baryons to octet baryons, pions, and photons and for the weak decay of the Omega baryon to a cascade baryon, an electron, and an anti-neutrino.

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#	sentence	role	the authors' own work	states the main conclusion	strength
s0	Axial-vector transitions of decuplet to octet baryons are parametrized at low energies guided by a complete and minimal chiral Lagrangian up to next-to-leading order.	method 0.74	0.80	0.14	asserted 1.00
s1	It is pointed out that beyond the well-known leading-order term, there is only one contribution at next-to-leading order.	result 0.93	0.70	0.40	asserted 1.00
s2	This contribution is flavor symmetric.	result 0.93	0.65	0.13	asserted 1.00
s3	Therefore the corresponding low-energy constant can be determined in any strangeness sector.	interpretation 0.86	0.60	0.23	asserted 0.99
s4	As functions of this low-energy constant, we calculate the decay widths and Dalitz distributions for the decays of decuplet baryons to octet baryons, pions, and photons and for the weak decay of the Omega baryon to a cascade baryon, an electron, and an anti-neutrino.	contribution 0.69	0.93	0.22	asserted 1.00

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The paper

Original abstract

Axial-vector transitions of decuplet to octet baryons are parametrized at low energies guided by a complete and minimal chiral Lagrangian up to next-to-leading order. It is pointed out that beyond the well-known leading-order term, there is only one contribution at next-to-leading order. This contribution is flavor symmetric. Therefore the corresponding low-energy constant can be determined in any strangeness sector. As functions of this low-energy constant, we calculate the decay widths and Dalitz distributions for the decays of decuplet baryons to octet baryons, pions, and photons and for the weak decay of the Omega baryon to a cascade baryon, an electron, and an anti-neutrino.

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References

How the literature uses it

5 arXiv papers cite this in 18 sentences

Each citing sentence is taken from the citing paper's LaTeX source and typed by Pith's classifier. A label appears at probability 0.8 or more (0.95 for support), a contest at 0.7 or more; the quoted words are the citing authors'. How each label was checked · JSON

Papers citing it · 12 sentences without a confident label

Contests it 1 paper

With respect to chiral transformations [ref] $L ∈SU(3)_L$, $R ∈SU(3)_R$ and $h_V ∈SU(3)_V$, the fields transform as[We remark that the transformation properties for $U$ and $u$ given in Refs. [ref] are incorrect.

Estimates for rare three-body decays of the Omega baryon using chiral symmetry and the $\Delta I = 1/2$ rule · The SU(3) Chiral Lagrangian · contest 0.84

Uses its data or values 1 paper

To provide some concrete estimates we use Refs. [ref] , where the magnitude of each of these constants has been narrowed down to one of two possible values: [equation] As can be seen in Fig. [ref], it is possible to distinguish the four configurations of the LECs.

Estimates for rare three-body decays of the Omega baryon using chiral symmetry and the $\Delta I = 1/2$ rule · Semileptonic decays · 1.00

Compares with it 2 papers

As a function of $c_E$ it has a similar parabolic shape as in Ref. [ref] .

Estimates for rare three-body decays of the Omega baryon using chiral symmetry and the $\Delta I = 1/2$ rule · Semileptonic decays · 0.82
This choice is slightly different from [ref] where we used $h_A$ as determined from hyperon decays, cf. also the discussion in [ref] .

Electromagnetic form factors of the transition from the Delta to the nucleon · Effective Lagrangians · 0.95

Cites it as background 1 paper

For massive leptons, there are extra terms that scale with $c_V^2$ and $c_A^2$; see also [ref] for a related discussion.

Goldberger-Treiman relation and Wu-type experiment in the decuplet sector · Feasibility check · 0.85

What it cites · 26 sentences without a confident label

Contests 1 paper

It is missing, for instance, in [ref] .

Chiral Lagrangians with decuplet baryons to one loop · Introduction and summary · contest 0.71

Uses data or values from 1 paper

The values of the above NLO LECs come from [ref] .

The relativistic chiral Lagrangian for decuplet and octet baryons at next-to-leading order · Chiral Lagrangian · 1.00

Cites as background 5 papers

One of the interesting processes of neutrino-nucleon scattering is the production of the lowest-lying Delta state [ref] .

Nucleon-to-Delta axial transition form factors in relativistic baryon chiral perturbation theory · Introduction and summary · 0.97
One of the interesting processes of neutrino-nucleon scattering is the production of the lowest-lying Delta state [ref] .

Chiral symmetry and the axial nucleon to Delta(1232) transition form factors · Introduction and summary · 0.97
One of the interesting processes of neutrino-nucleon scattering is the production of the lowest-lying Delta state [ref] .

Pion Production in High-Energy Neutrino Reactions with Nuclei · Introduction and summary · 0.97

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