Analysis on the composite nature of the light scalar mesons $f_{0}(980)$ and $a_0(980)$

Wang, Ze-Qiang; Kang, Xian-Wei; Oller, J. A.; Zhang, Lu

doi:10.48550/arxiv.2201.00492

Cited by 4 publications

(4 citation statements)

References 86 publications

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“…In fact, there is also a non-relativistic expansion for G(s) [49]. The difference between the value of dG I I /ds s=s P and its leading non-relativistic expansion is less than 5%.…”

Section: Event Number Distributionmentioning

confidence: 94%

Composite nature of $$Z_b$$ states from data analysis

2022

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We use a near-threshold parameterization with explicit inclusion of the Castillejo–Dalitz–Dyson poles, which is more general than the effective range expansion, to study the bottomonium-like states $$Z_b(10610)$$ Z b ( 10610 ) and $$Z_b(10650)$$ Z b ( 10650 ) . In terms of the partial-wave amplitude, we fit the event number distribution of $$B^{(*)}{\bar{B}}^*$$ B ( ∗ ) B ¯ ∗ system to the experimental data for these resonances from Belle Collaboration. The data could be described very well in our method, which supports the molecular interpretation. Then the relevant physical quantities are obtained, including the $$B^{(*)}\bar{B}^*$$ B ( ∗ ) B ¯ ∗ scattering length (a), effective range (r), and residue squared ($$\gamma _s^2$$ γ s 2 ) of the pole in the complex plane. In particular, we find the compositeness can range from about 0.4 up to 1 for the $$B{\bar{B}}^*$$ B B ¯ ∗ ($$B^*{\bar{B}}^*$$ B ∗ B ¯ ∗ ) component in the resonance $$Z_b(10610)$$ Z b ( 10610 ) ($$Z_b(10650)$$ Z b ( 10650 ) ).

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“…In fact, there is also a non-relativistic expansion for G(s) [49]. The difference between the value of dG I I /ds s=s P and its leading non-relativistic expansion is less than 5%.…”

Section: Event Number Distributionmentioning

confidence: 94%

Composite nature of $$Z_b$$ states from data analysis

2022

Self Cite

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“…In fact, there is also a non-relativistic expansion for G(s) [47]. The difference between the value of dG II /ds s=s P and its leading non-relativistic expansion is less than 5%.…”

Section: Compositeness For a Resonancementioning

confidence: 95%

Composite nature of $Z_b$ states from data analysis

Zhang,

Kang,

Guo

2022

Preprint

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We use a near-threshold parameterization with explicit inclusion of the Castillejo-Dalitz-Dyson poles, which is more general than the effective range expansion, to study the bottomonium-like states Z b (10610) and Z b (10650). In terms of the partial-wave amplitude, we fit the event number distribution of B ( * ) B * system to the experimental data for these resonances from Belle Collaboration. The data could be described very well in our method, which supports the molecular interpretation. Then the relevant physical quantities are obtained, including the B ( * ) B * scattering length (a), effective range (r), and residue squared (γ 2 s ) of the pole in the complex plane. In particular, we find the compositeness can range from about 0.4 up to 1 for the B B * (B * B * ) component in the resonance Z b (10610) (Z b (10650)).

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“…Additionally, the hadronic FFs of D + s → ϕµ + ν µ are extracted through a partial wave analysis (PWA) and the size of a possible f 0 (980) component in the decay D + s → K + K − µ + ν µ is limited. An f 0 (980) contribution would be interesting, in view of the unconventional nature of this state [27][28][29][30][31]. Charge conjugation is implied throughout this work.…”

Section: Jhep12(2023)072mentioning

confidence: 99%

Studies of the decay $$ {\textrm{D}}_{\textrm{s}}^{+}\to {\textrm{K}}^{+}{\textrm{K}}^{-}{\mu}^{+}{\nu}_{\mu } $$

Ablikim,

Achasov,

Adlarson

et al. 2023

J. High Energ. Phys.

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The $$ {D}_s^{+}\to {K}^{+}{K}^{-}{\mu}^{+}{\nu}_{\mu } $$ D s + → K + K − μ + ν μ decay is studied based on 7.33 fb−1 of e+e− collision data collected with the BESIII detector at center-of-mass energies in the range from 4.128 to 4.226 GeV. The absolute branching fraction is measured as $$ \mathcal{B}\left({D}_s^{+}\to \phi {\mu}^{+}{\nu}_{\mu}\right)=\left(2.25\pm 0.09\pm 0.07\right)\times {10}^{-2} $$ B D s + → ϕ μ + ν μ = 2.25 ± 0.09 ± 0.07 × 10 − 2 , the most precise measurement to date. Combining with the world average of $$ \mathcal{B}\left({D}_s^{+}\to \phi {e}^{+}{\nu}_e\right) $$ B D s + → ϕ e + ν e , the ratio of the branching fractions obtained is $$ \frac{\mathcal{B}\left({D}_s^{+}\to \phi {\mu}^{+}{\nu}_{\mu}\right)}{\mathcal{B}\left({D}_s^{+}\to \phi {e}^{+}{\nu}_e\right)}=0.94\pm 0.08 $$ B D s + → ϕ μ + ν μ B D s + → ϕ e + ν e = 0.94 ± 0.08 , in agreement with lepton universality. By performing a partial wave analysis, the hadronic form factor ratios at q2 = 0 are extracted, finding $$ {r}_V=\frac{V(0)}{A_1(0)}=1.58\pm 0.17\pm 0.02 $$ r V = V 0 A 1 0 = 1.58 ± 0.17 ± 0.02 and $$ {r}_2=\frac{A_2(0)}{A_1(0)}=0.71\pm 0.14\pm 0.02 $$ r 2 = A 2 0 A 1 0 = 0.71 ± 0.14 ± 0.02 , where the first uncertainties are statistical and the second are systematic. No significant S-wave contribution from f0(980) → K+K− is found. The upper limit $$ \mathcal{B}\left({D}_s^{+}\to {f}_0(980){\mu}^{+}{\nu}_{\mu}\right)\cdot \mathcal{B}\left({f}_0(980)\to {K}^{+}{K}^{-}\right)<5.45\times {10}^{-4} $$ B D s + → f 0 980 μ + ν μ ⋅ B f 0 980 → K + K − < 5.45 × 10 − 4 is set at 90% credibility level.

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Analysis on the composite nature of the light scalar mesons $f_{0}(980)$ and $a_0(980)$

Cited by 4 publications

References 86 publications

Composite nature of $$Z_b$$ states from data analysis

Composite nature of $$Z_b$$ states from data analysis

Composite nature of $Z_b$ states from data analysis

Studies of the decay $$ {\textrm{D}}_{\textrm{s}}^{+}\to {\textrm{K}}^{+}{\textrm{K}}^{-}{\mu}^{+}{\nu}_{\mu } $$

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