Effective range expansion for narrow near-threshold resonances

Baru, Vadim; Dong, Xiang-Kun; Du, Meng-Lin; Filin, Arseniy; Guo, Feng-Kun; Hanhart, Christoph; Nefediev, Alexey; Nieves, Juan; Wang, Qian

doi:10.48550/arxiv.2110.07484

Cited by 13 publications

(19 citation statements)

References 52 publications

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“…Also, a recent analysis of X(3872) suggests that r e ∼ −5 fm [21] (see, however, Ref. [22] on the uncertainty of the determination of the effective range in these analysis). These results imply the larger magnitude of the effective range than the hadron interaction scale of 1 fm and the range correction of the weak-binding relation should be important.…”

Section: Discussionmentioning

confidence: 91%

Role of the effective range in the weak-binding relation

Kinugawa,

Hyodo

2021

Preprint

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We study the range correction in the weak-binding relation, which relates the internal structure of hadrons with the scattering length and the binding energy. Utilizing the effective field theories, we show that the effective range originates from the derivative coupling interaction as well as from the channel coupling to the bare state, and that the different contributions are not distinguishable. By examining the compositeness in the effective field theories, it is demonstrated that the effective range induces the finite range correction for the weak-binding relation in addition to the previously known contributions. We thus propose to include the range correction in the uncertainty terms of the weak-binding relation.

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Section: Discussionmentioning

confidence: 91%

Role of the effective range in the weak-binding relation

Kinugawa,

Hyodo

2021

Preprint

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“…also Section 7. ) Detailed investigations about the compositeness criterion and its applicability to various tetraquark candidates, as well as to ordinary hadrons, can be found in References [84,[95][96][97][98][99][100][101][102][103][104][105][106][107][108][109].…”

Section: Resonancesmentioning

confidence: 99%

The Interplay between Compact and Molecular Structures in Tetraquarks

Sazdjian

2022

Symmetry

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Due to the cluster reducibility of multiquark operators, a strong interplay exists in tetraquarks between the compact structures, resulting from the direct confining forces acting on quarks and gluons, and the molecular structure, dominated by the mesonic clusters. This issue is studied within an effective field theory approach, where the compact tetraquark is treated as an elementary particle. The key ingredient of the analysis is provided by the primary coupling constant of the compact tetraquark to the two mesonic clusters, considered here in the framework of a scalar interaction. Under the influence of this coupling, an initially formed compact tetraquark bound state evolves towards a new structure, where a molecular configuration is also present. In the strong-coupling limit, the evolution may end with a shallow bound state of the molecular type. The strong-coupling regime is also favored by the large Nc properties of QCD. The interplay between compact and molecular structures may provide a natural explanation of the existence of many shallow bound states.

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“…Detailed investigations about the compositeness criterion and its applicability to various tetraquark candidates, as well as to ordinary hadrons, can be found in References [84,[95][96][97][98][99][100][101][102][103][104][105][106][107][108][109].…”

Section: Resonancesmentioning

confidence: 99%

The interplay between compact and molecular structures in tetraquarks

Sazdjian

2022

Preprint

View full text Add to dashboard Cite

Due to the cluster reducibility of multiquark operators, a strong interplay exists in tetraquarks between the compact structure, resulting from the direct confining forces acting on quarks and gluons, and the molecular structure, dominated by the mesonic clusters. This issue is studied within an effective field theory approach, where the compact tetraquark is treated as an elementary particle. The key ingredient of the analysis is provided by the primary coupling constant of the compact tetraquark to the two mesonic clusters. Under the influence of this coupling, an initially formed compact tetraquark bound state evolves towards a new structure, where a molecular configuration is also present. In the strongcoupling limit, the evolution may end with a shallow bound state of the molecular type. The strong-coupling regime is also favored by the large-N c properties of QCD. The interplay between compact and molecular structures may provide a natural explanation of the existence of many shallow bound states.

show abstract

Effective range expansion for narrow near-threshold resonances

Cited by 13 publications

References 52 publications

Role of the effective range in the weak-binding relation

Role of the effective range in the weak-binding relation

The Interplay between Compact and Molecular Structures in Tetraquarks

The interplay between compact and molecular structures in tetraquarks

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