Low's Scattering Equation for the Charged and Neutral Scalar Theories

Castillejo, L.; Dalitz, R.H.; Dyson, Freeman J.

doi:10.1103/physrev.101.453

Cited by 667 publications

(362 citation statements)

References 6 publications

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“…A more modern and updated formulation of the problem, according with requirements of chiral dynamics is given in [22]. There, the ∆, which qualifies as a genuine resonance, appears through a Castillejo, Dalitz, Dyson pole [23] in the N/D formulation of [24].…”

Section: Formulationmentioning

confidence: 99%

Radiative decay of theΛ*(1520)

2006

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A recently developed non-perturbative chiral approach to dynamically generate the 3/2 − baryon resonances has been extended to investigate the radiative decays Λ * (1520) → γΛ(1116) and Λ * (1520) → γΣ 0 (1193). We show that the Λ * (1520) decay into γΛ is an ideal test for the need of extra components of the resonance beyond those provided by the chiral approach since the largest meson-baryon components give no contribution to this decay. The case is different for γΣ decay where the theory agrees with experiment, though the large uncertainties of these data call for more precise measurements.

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Section: Formulationmentioning

confidence: 99%

Radiative decay of theΛ*(1520)

2006

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“…In the present study we include in the partial wave amplitudes the Castillejo-Dalitz-Dyson (CDD) poles [35], which effectively encode the extra degrees of freedom not directly corresponding to the explicit πΣ c states, e.g. higher energy channels that are open much beyond the πΣ c threshold energy region, like ND, ND * components, or compact quark-gluon states.…”

Section: Introductionmentioning

confidence: 99%

Resonance on top of thresholds: TheΛc(2595)+as an extremely fine-tuned state

Guo

Oller

2016

Phys. Rev. D

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A dedicated study of the πΣ c scattering around its threshold is carried out in this work to probe the nature of Λ c (2595) + . We first demonstrate that the effective range expansion approach fails to work near the Λ c (2595) + pole position, due to the presence of a nearby CDD pole around the πΣ c thresholds. We then develop a general framework to properly handle the situation with a CDD pole accompanied by nearby thresholds, which is first elaborated for the single-channel case and then generalized to the coupled-channel study. The isospin-breaking effects of the three πΣ c channels with different thresholds are specially taken into account in our study. The finite-width effects from the Σ c baryons are considered and found to be relevant to give the Λ c (2595) + width fully compatible with its experimental value. Through the compositeness analysis, our robust conclusion is that the π 0 Σ + c component is subdominant inside the Λ c (2595) + .

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“…When R eff is large, the convergence region is limited to be small. A large R eff is sometimes caused by the nearby CDD (Castillejo-Dalitz-Dyson) pole [8]. Because the energy of the CDD pole E c is defined as the energy where the scattering amplitude vanishes, the ERE converges only in the region |E| < |E c |.…”

Section: Improvement Of the Weak-binding Relationmentioning

confidence: 99%

Model-Independent Determination of the Compositeness of Near-Threshold Quasibound States

Kamiya¹,

Hyodo²

2017

Proceedings of the 14th International Conference on Meson-Nucleon Physics and the Structure of the Nucleon (MENU2016)

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We study the compositeness of near-threshold states to clarify the internal structure of exotic hadron candidates. Within the framework of effective field theory, we extend the Weinberg's weak-binding relation to include the nearby CDD (Castillejo-Dalitz-Dyson) pole contribution with the help of the Padé approximant. Finally, using the extended relation, we conclude that the CDD pole contribution to the Λ(1405) baryon in theKN amplitude is negligible.

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Low's Scattering Equation for the Charged and Neutral Scalar Theories

Cited by 667 publications

References 6 publications

Radiative decay of theΛ*(1520)

Radiative decay of theΛ*(1520)

Resonance on top of thresholds: TheΛc(2595)+as an extremely fine-tuned state

Model-Independent Determination of the Compositeness of Near-Threshold Quasibound States

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