Novel approaches in hadron spectroscopy

Albaladejo, M.; Bibrzycki, Łukasz; Dawid, Sebastian M.; Fernández-Ramírez, C.; Gonzàlez-Solís, Sergi; Blin, A. N. Hiller; Jackura, A.; Mathieu, V.; Mikhasenko, M.; Mokeev, V.; Passemar, Emilie; Pilloni, A.; Rodas, A.; Silva-Castro, Jorge A.; Smith, Wyatt A.; Szczepaniak, Adam P.; Winney, D.

doi:10.1016/j.ppnp.2022.103981

Cited by 30 publications

(4 citation statements)

References 522 publications

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“…This fact is well-known in the general S-matrix theory [98] and has been widely used in the phenomenological studies of the scattering processes, e.g., see Ref. [101][102][103].…”

Section: Discussionmentioning

confidence: 89%

Analytic continuation of the relativistic three-particle scattering amplitudes

Dawid¹,

Islam²,

Briceño³

2023

Preprint

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We investigate the relativistic scattering of three identical scalar bosons interacting via pairwise interactions. Extending techniques from the non-relativistic three-body scattering theory, we provide a detailed and general prescription for solving and analytically continuing integral equations describing the three-body reactions. We use these techniques to study a system with zero angular momenta described by a single scattering length leading to a bound state in a two-body subchannel. We obtain bound-state-particle and three-particle amplitudes in the previously unexplored kinematical regime; in particular, for real energies below elastic thresholds and complex energies in the physical and unphysical Riemann sheets. We extract positions of three-particle boundstates that agree with previous finite-volume studies, providing further evidence for the consistency of the relativistic finite-volume three-body quantization conditions. We also determine previously unobserved virtual bound states in this theory. Finally, we find numerical evidence of the breakdown of the two-body finite-volume formalism in the vicinity of the left-hand cuts and argue for the generalization of the existing formalism.

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“…This fact is well-known in the general S-matrix theory [98] and has been widely used in the phenomenological studies of the scattering processes, e.g., see Ref. [101][102][103].…”

Section: Discussionmentioning

confidence: 89%

Analytic continuation of the relativistic three-particle scattering amplitudes

Dawid¹,

Islam²,

Briceño³

2023

Preprint

View full text Add to dashboard Cite

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“…In a word, after a lot of effort none of the light narrow exotic states is firmly established. It is foreseen that once high statistics data will become available in future, partial wave analyses will be feasible for diffractive processes at COMPASS and CLAS [217] and annihilation reactions at BESIII [218] and at PANDA [219]. Other reactions and decays to study them are suggested from the theoretical perspective [33,[220][221][222][223].…”

Section: Exotic Candidates In Light Quark Sectormentioning

confidence: 99%

Photo- and electro-production of narrow exotic states: from light quarks to charm and up to bottom

Xu¹

2023

Preprint

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Accessing a full image of the inner content of hadrons represents a central endeavour of modern particle physics, with the main scientific motivation to investigate the strong interaction binding the visible matter. On the one hand, the structure of known exotic candidates is a fundamental open issue addressed widely by scientists. On the other hand, looking for new states of exotic nature is a central component for theoretical and experimental efforts from electron-positron machine and electron accelerator with fixed target to heavy ion and electron-ion colliders. In this article we present a succinct short overview of the attempt to search for exotic narrow N * and Z states containing light quarks only or also charm, and its connotation for bottom regions (the latter two are also known as P c (Z c ) and P b (Z b ) states, respectively in the literature). We address the effort of searching for exotic narrow N * and Z states in light quark sector. We focus on recent progress in searching for signal of P c and Z c states photoproduction and its implication into the P b and Z b photoproduction and their decay properties. We also discuss future perspectives for the field in electron-ion colliders, a good place to disentangle the nature of some of these states and investigate some other enlightening topics including QCD trace anomaly and quarkonium-nucleon scattering length.

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“…Recent studies (i.e., reference [19,20]) have used those approaches to obtain mass and width values for several resonances. A comprehensive description of recent efforts by the Joint Physics Analysis Center (JPAC) in this direction can be found in reference [21].…”

Section: Phenomenological Modelsmentioning

confidence: 99%