Decay of axial-vector mesons into VP and P$\gamma$

E. Oset; J.E. Palomar; L. Roca

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Decay of axial-vector mesons into VP and P$\gamma$

L. Roca, J.E. Palomar, E. Oset

High Energy Physics - Phenomenology · Submitted 20 Jun 2003

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

The authors' main claim The formulation leads to a good reproduction of the different decay branching ratios and assuming vector meson dominance (VMD) it also leads to good results for the radiative decay of the $a_1$ into pion and photon, and in agreement with the structure proposed in the chiral tensor formulation of radiative decay of axial-vector mesons.

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We propose a phenomenological Lagrangian for the decay of the SU(3) nonets of the axial-vector mesons of $J^{PC}=1^{+-},1^{++}$ into a vector meson and a pseudoscalar constructed with tensor fields for the vector and axial-vector mesons. The formulation leads to a good reproduction of the different decay branching ratios and assuming vector meson dominance (VMD) it also leads to good results for the radiative decay of the $a_1$ into pion and photon, and in agreement with the structure proposed in the chiral tensor formulation of radiative decay of axial-vector mesons. The two SU(3) parameters and the mixing angle of $K_{1A}$ and $K_{1B}$ needed to give the physical $K_1(1270)$ and $K_1(1400)$ resonances are also determined.

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#	sentence	role	the authors' own work	states the main conclusion	strength
s0	We propose a phenomenological Lagrangian for the decay of the SU(3) nonets of the axial-vector mesons of $J^{PC}=1^{+-},1^{++}$ into a vector meson and a pseudoscalar constructed with tensor fields for the vector and axial-vector mesons.	contribution 0.78	0.90	0.13	asserted 0.91
s1	The formulation leads to a good reproduction of the different decay branching ratios and assuming vector meson dominance (VMD) it also leads to good results for the radiative decay of the $a_1$ into pion and photon, and in agreement with the structure proposed in the chiral tensor formulation of radiative decay of axial-vector mesons.	result 0.97	0.91	0.66	asserted 0.94
s2	The two SU(3) parameters and the mixing angle of $K_{1A}$ and $K_{1B}$ needed to give the physical $K_1(1270)$ and $K_1(1400)$ resonances are also determined.	result 0.96	0.90	0.13	asserted 1.00

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Original abstract

We propose a phenomenological Lagrangian for the decay of the SU(3) nonets of the axial-vector mesons of $J^{PC}=1^{+-},1^{++}$ into a vector meson and a pseudoscalar constructed with tensor fields for the vector and axial-vector mesons. The formulation leads to a good reproduction of the different decay branching ratios and assuming vector meson dominance (VMD) it also leads to good results for the radiative decay of the $a_1$ into pion and photon, and in agreement with the structure proposed in the chiral tensor formulation of radiative decay of axial-vector mesons. The two SU(3) parameters and the mixing angle of $K_{1A}$ and $K_{1B}$ needed to give the physical $K_1(1270)$ and $K_1(1400)$ resonances are also determined.

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References

Forward citations

Cited by 3 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

Study of the $e^+e^- \to \phi K^+K^-$ reaction within triangle dynamics and its implications for the $\phi(2170)$
hep-ph 2026-09 conditional novelty 6.0 of 10

The same K1-anti-K-K triangle mechanism that produces the phi(2170)-like peak in e+e- -> phi pi+pi- predicts that the peak should be absent in e+e- -> phi K+K-, matching BESIII.
Flavor SU(3) analysis of the charmless semileptonic $B \to PV\ell^+\nu_\ell$ decays
hep-ph 2025-07 conditional novelty 6.0 of 10

The paper predicts branching ratios of charmless B to PV l nu decays mediated by axial-vector, tensor, and excited vector resonances using SU(3) flavor symmetry, finding several modes at 10^-4 to 10^-3.
Vector- and tensor-meson resonance contributions to $\chi_{cJ}\to PPV$ decays
hep-ph 2026-10 conditional novelty 4.0 of 10

Individual vector and tensor resonance bands in χcJ → PPV decays are estimated at 1e-10 to 1e-3, ordered so that ρ/K* bands dominate ππρ and πKK̄*, φ alone carries K̄Kφ, and tensor bands lead in K̄Kω and η′KK*.

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10 arXiv papers cite this in 21 sentences

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Papers citing it · 8 sentences without a confident label

Uses its method or tool 4 papers

Subsequently the decay mode $K_1 →ρK$, of the $K_1$ meson, can be parameterized by the matrix element [ref] : M(K_1 (p') →ρ(p_ρ) K (p_K) ) = 2 g_K_1 ρK /m_K_1 m_ρ [ (p'.p_ρ) ( ϵ_ρ. ϵ_K_1 ) - (p'.ϵ_ρ)(p_ρ.ϵ_K_1) ] = g_K_1 ρK /m_K_1 m_ρ [ ( P^2 + P.Q) ( ϵ_ρ. ϵ_K_1 ) - (P.ϵ_ρ) (Q.ϵ_K_1) ] .

$B \to K_1(1270) (\to \rho K) \ell^+ \ell^-$ in LEET · Kinematics and differential decay rate · 0.85
The decay branching ratios with the mass distributions of the resonances and vector mesons can be written as [ref] [equation] where $Θ$ is the step function, $ℬ_AVP(√(s_A),√(s_V))=τ_A|λ_AVP|^2/2πs_Aq”(1+ 2/3q”^2/s_V)$, with $q”≡1/2√(s_A)λ^1/2(s_A,s_V,m_P^2)$, and $N_A$ and $N_V$ are normalization factors used to account for some missing strength $N_A/V≡(-1/π)∫ds_A/V Im{1/s_A/V-m_A/V^2+im_A/VΓ_A/V}$ [ref] .

Study of the axial-vector and tensor resonant contributions to the $D \to VP\ell^+\nu_\ell$ decays based on SU(3) flavor analysis · Theoretical framework for the $A→VP$ decays · 0.96
Hence, we ignore this production mechanism.) Using the phenomenological Lagrangian of [ref] , which describes the C- and P-conserving interactions between the SU(3) vector, axial vector, and pseudoscalar nonets, we find that there is no vertex contributing to $ϕ→X η$ or $ω→X π^0$.

Axial vectors in DarkCast · Production of a purely axial boson · 0.83

Uses its data or values 2 papers

Most of the parameters appear in the three–meson loop diagrams such as the coupling constants, the mixing angle between $K_1$ mesons are fixed in Ref. [ref] and some related papers [ref] .

Final state interactions in the decays J/psi->VPP · Numerical Results · 0.99
Considering the results in Ref. [ref] , we conservatively choose $F∈[0.6, 2.0]$ and $D∈[-1.6, -0.4]$ as the original ranges.

Study of the axial-vector and tensor resonant contributions to the $D \to VP\ell^+\nu_\ell$ decays based on SU(3) flavor analysis · Numerical results for the $A→VP$ decays · 0.94

Compares with it 1 paper

[ref]-[ref] are in agreement with those in Ref. [ref] , except for some with different meson definitions, $i.e.$, $η,η',h_1,f_1$ mesons.

Study of the axial-vector and tensor resonant contributions to the $D \to VP\ell^+\nu_\ell$ decays based on SU(3) flavor analysis · Theoretical framework for the $A→VP$ decays · 1.00

Cites it as background 2 papers

The strange partners of the $a_1$ and $b_1$ axial mesons are referred to as the $K_1A$ and $K_1B$, but for the strange axial mesons C-parity is not a well-defined number and the physical states are a mixture of the $^1P_1$ and $^3P_1$ configurations [equation] with most determinations of $θ_K$ usually close to either $30^∘$ or $60^∘$ [ref] .

Axial meson exchange and the $Z_c(3900)$ and $Z_{cs}(3985)$ resonances as heavy hadron molecules · Axial meson octet vs nonet · 0.85
The multiplets of the light axial-vector mesons are presented in the matrix of $A$ and $B$, where $A$ represents the axial-vector mesons with $J^PC=1^++$ and $B$ corresponds to the mesons with $J^PC=1^+-$ [ref] [equation]

Study of the axial-vector and tensor resonant contributions to the $D \to VP\ell^+\nu_\ell$ decays based on SU(3) flavor analysis · Appendix · 0.86

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