Relativistic Cornell-type mechanism of exotic scalar resonances

Бадалян, А. М.; Lukashov, M. S.; Simonov, Yu. A.

doi:10.1103/physrevd.102.094012

Cited by 4 publications

(7 citation statements)

References 79 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…However, their results and pole trajectories are also similar to ours here and thus demonstrates the general features listed above. More recent works [47,85] using the so called chiral confining Lagrangian also produce similar results for the lightest scalars.…”

Section: Numerical Results and Discussionsupporting

confidence: 53%

“…Usually, by unitarizing the scattering amplitudes in the heavy quark chiral perturbation theory (Hχ PT), several groups claimed that they could be regarded as the hadronic molecular states [33][34][35][36][37]. Some other attempts were also made in pursuing the idea that they might be dynamically generated due to the coupling of fundamental states to the continuum states [7][8][9][10][11][12][13][38][39][40][41][42][43][44][45][46][47][48][49]. The basic spirit of these models here is that by coupling a seed qq state to the two-meson continuum states, another state could be generated which could be identified as some possible non-qq states.…”

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

Two-pole structures in a relativistic Friedrichs–Lee-QPC scheme

Zhou

Xiao

2021

Eur. Phys. J. C

View full text Add to dashboard Cite

A general appearance of two-pole structures is exhibited in a relativistic Friedrichs–Lee model combined with a relativistic quark pair creation model in a consistent manner. This kind of two-pole structure could be found when a $$q\bar{q}$$ q q ¯ state couples to the open-flavor continuum state in the S partial wave. We found that many enigmatic states, such as $$f_0(500)/\sigma $$ f 0 ( 500 ) / σ , $$K_0^*(700)/\kappa $$ K 0 ∗ ( 700 ) / κ , $$a_0(980)$$ a 0 ( 980 ) , $$f_0(980)$$ f 0 ( 980 ) , $$D_0^*(2300)$$ D 0 ∗ ( 2300 ) , $$D_{s0}^*(2317)$$ D s 0 ∗ ( 2317 ) , and X(3872), together with another higher state for each, all result from this kind of two-pole structures. Furthermore, an interesting observation is that this kind of two-pole structure will contribute roughly a total of $$180^\circ $$ 180 ∘ phase shift for the scattering process in a single channel approximation. This relativistic scheme may provide more insights into the understanding of the properties of non-$$q\bar{q}$$ q q ¯ state. It is also suggested that such two-pole structure could be a common phenomenon which deserves studying both from theoretical and experimental perspectives.

show abstract

Section: Numerical Results and Discussionsupporting

confidence: 53%

Section: Introductionmentioning

confidence: 99%

Two-pole structures in a relativistic Friedrichs–Lee-QPC scheme

Zhou

Xiao

2021

Eur. Phys. J. C

View full text Add to dashboard Cite

show abstract

“…Recently the same approach, called the relativistic Cornell-type formalism successfully explained the spectrum of light scalars [47,48]. In our present case we disregard the interaction of hadrons h 1 with h 2 and H 3 with H 4 .…”

Section: Jhep04(2021)051mentioning

confidence: 99%

“…h = ππ, H = KK, the Green's functions of noninteracting particles are well known, see e.g. [47,48] for the scalar ππ, KK Green's functions with the fixed spatial distance between ππ or KK, needed to define the transition matrix element.…”

Section: Jhep04(2021)051mentioning

confidence: 99%

Recoupling mechanism for exotic mesons and baryons

Simonov

2021

J. High Energ. Phys.

Self Cite

View full text Add to dashboard Cite

The infinite chain of transitions of one pair of mesons (channel I) into another pair of mesons (channel II) can produce bound states and resonances in both channels even if no interactions inside channels exist. These resonances which can occur also in meson-baryon channels are called channel-coupling (CC) resonances. A new mechanism of CC resonances is proposed where transitions occur due to a rearrangement of confining strings inside each channel — the recoupling mechanism. The amplitude of this recoupling mechanism is expressed via overlap integrals of the wave functions of participating mesons (baryons). The explicit calculation with the known wave functions yields the peak at E = 4.12 GeV for the transitions $$ J/\psi +\phi \leftrightarrow {D}_s^{\ast }+{\overline{D}}_s^{\ast } $$ J / ψ + ϕ ↔ D s ∗ + D ¯ s ∗ , which can be associated with χc1 (4140), and a narrow peak at 3.98 GeV with the width 10 MeV for the transitions $$ {D}_s^{-}+{D}_0^{\ast}\leftrightarrow J/\psi +{K}^{\ast -} $$ D s − + D 0 ∗ ↔ J / ψ + K ∗ − , which can be associated with th recently discovered Zcs (3985).

show abstract

“…So far, none of the lightest scalars behaves like a normal q q state. There are various kinds of models [227,174,228,229,230,231,232,233,234,235,236,237,238,239,240,241,242] trying to reveal the nature of the scalars, but their nature is still a mystery.…”

Section: Light Scalar Mesonsmentioning

confidence: 99%

A Review on Partial-wave Dynamics with Chiral Effective Field Theory and Dispersion Relation

Yao,

Dai,

Zheng

et al. 2020

Preprint

View full text Add to dashboard Cite

The description of strong interaction physics of low-lying resonances is out of the valid range of perturbative QCD. Chiral effective field theories have been developed to tackle the issue. Partial wave dynamics is the systematic tool to decode the underlying physics and reveal the properties of those resonances. It is extremely powerful and helpful for our understanding of the non-perturbative regime, especially when dispersion techniques are utilized simultaneously. Recently, plenty of exotic/ordinary hadrons have been reported by experiment collaborations, e.g. LHCb, Belle, and BESIII, etc.. In this review, we summarize the recent progress on the applications of partial wave dynamics combined with chiral effective field theories and dispersion relations, on related topics, with emphasis on ππ, πK, πN and KN scatterings.

show abstract

Relativistic Cornell-type mechanism of exotic scalar resonances

Cited by 4 publications

References 79 publications

Two-pole structures in a relativistic Friedrichs–Lee-QPC scheme

Two-pole structures in a relativistic Friedrichs–Lee-QPC scheme

Recoupling mechanism for exotic mesons and baryons

A Review on Partial-wave Dynamics with Chiral Effective Field Theory and Dispersion Relation

Contact Info

Product

Resources

About