Effects of Attractive $K\bar{K}$ and Repulsive <i>KK</i> Interactions in $KK\bar{K}$ Three-Body Resonance

Shinmura, Shōji; Hara, Katsumi; Yamada, Teppei

doi:10.7566/jpscp.26.023003

Cited by 5 publications

(14 citation statements)

References 8 publications

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“…E2 energy of subsystem K K (isospin singlet (s) or isospin triplet (t)). The vertical line corresponds to the value of the ratio v t K K /v s K K proposed in [50].…”

Section: Resultsmentioning

confidence: 99%

“…The splitting of the singlet and triplet components proposed in Ref. [50] can be expressed by a ratio of strength parameters for the components of potential,…”

Section: Theoretical Modelmentioning

confidence: 99%

“…Recently, in Ref. [50], the KK K system was considered based on the coupled-channel complex-scaling method by introducing three channels KK K, ππK and πηK. The resonance energy and width were determined using two-body potentials that fit twobody scattering properties.…”

Section: Introductionmentioning

confidence: 99%

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Three-body model for $K(1460)$ resonance

Filikhin,

Kezerashvili,

Suslov

et al. 2020

Preprint

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“…E2 energy of subsystem K K (isospin singlet (s) or isospin triplet (t)). The vertical line corresponds to the value of the ratio v t K K /v s K K proposed in [50].…”

Section: Resultsmentioning

confidence: 99%

“…The splitting of the singlet and triplet components proposed in Ref. [50] can be expressed by a ratio of strength parameters for the components of potential,…”

Section: Theoretical Modelmentioning

confidence: 99%

See 1 more Smart Citation

Three-body model for $K(1460)$ resonance

Filikhin,

Kezerashvili,

Suslov

et al. 2020

Preprint

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show abstract

“…[20] (see Refs. [19,[21][22][23]), and a kaon state has always been found to arise with mass ∼ 1460 MeV but with widths ranging between MeV, depending on the model.…”

Section: Formalismmentioning

confidence: 99%

“…[7][8][9][10][11][12][13][14][15][16][17] for φ(2170), Refs. [18][19][20][21][22][23] for K(1460), and Refs. [24][25][26][27][28] for K 1 (1270) and K 1 (1400)].…”

Section: Introductionmentioning

confidence: 99%

Partial decay widths of $ϕ(2170)$ to kaonic resonances

Malabarba,

Ren,

Khemchandani

et al. 2020

Preprint

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In this work we study the strong decays of φ(2170) to final states involving the kaonic resonances K(1460), K 1 (1270) and K 1 (1400), on which experimental data have recently been extracted by the BESIII Collaboration. The formalism developed here is based on interpreting φ(2170) and K(1460) as states arising from three-hadron dynamics, which is inspired by our earlier works. For K 1 (1270) and K 1 (1400) we investigate different descriptions, such as a mixture of states belonging to the nonet of axial resonances, or the former one as a state originating from the vectorpseudoscalar dynamics. The ratios among the partial widths of K + (1460)K − , K + 1 (1400)K − and K + 1 (1270)K − obtained are compatible with the experimental results, reinforcing the three-body nature of φ(2170). Within our formalism, we can also explain the suppressed decay of φ(2170) to K * (892) K * (892), as found by the BESIII Collaboration. Furthermore, our results can be useful in clarifying the properties of K(1460), K 1 (1270) and K 1 (1400) when higher statistics data would be available.

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The charge and mass symmetry breaking in the KK K¯ system

Filikhin,

Kezerashvili,

Vlahovic

2024

J. Phys. G: Nucl. Part. Phys.

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In the framework of the Faddeev equations in configuration space, weinvestigate the $K$(1460) meson as a resonant state of the $KK\bar{K}$kaonic system. We perform calculations for the particle configurations $%K^{0}K^{+}K^{-}$ and $K^{0}K^{+}\overline{{K}^{0}}$ within two models: the $%ABC $ model, in which all three particles are distinguishable, and the $AAC$model when two particles are identical. The models differ in their treatmentof the kaon mass difference and the attractive Coulomb force between the $%K^{+}K^{-}$ pair. We found that the Coulomb shift adds over 1 MeV to thethree-body binding energy. The expected correction to the binding energy dueto mass redistribution from $AA$ to $AB$ is found to be negligible, up to amaximum of 6\% of the relative mass correction. At the same time, thesymmetry of the wave function is distorted depending on the mass ratiovalue. We found that the repulsive $KK$ interaction plays essential role in the binding energy of the $KK\bar K$ system and report the mass of 1461.8 or 1464.1 MeV for the neutral $K^{0}$(1460) and 1466.5 or 1468.8 MeV for the charged $K^{+}$(1460) resonances, respectively,depending on the parameter sets for $KK$ and $K\bar{K}$ interactions.

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Effects of Attractive \(K\bar{K}\) and Repulsive KK Interactions in \(KK\bar{K}\) Three-Body Resonance

Cited by 5 publications

References 8 publications

Three-body model for $K(1460)$ resonance

Three-body model for $K(1460)$ resonance

Partial decay widths of $ϕ(2170)$ to kaonic resonances

The charge and mass symmetry breaking in the KK K¯ system

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