Compositeness of weakly S-wave bound states from next-to-leading Weinberg's relations

Albaladejo, M.; Nieves, J.

doi:10.48550/arxiv.2203.04864

Cited by 4 publications

(13 citation statements)

References 92 publications

(101 reference statements)

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“…These problems have attracted intensive discussions on the nature of the near-threshold bound and virtual states, e.g., see Refs. [182,183,184] and references therein. We also refer interested readers to Sec.…”

Section: Charmed-strange Mesons and The D S0 (2590)mentioning

confidence: 99%

An updated review of the new hadron states

Chen¹,

Chen²,

Liu³

et al. 2022

Preprint

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The past decades witnessed the golden era of hadron physics. Many excited open heavy flavor mesons and baryons have been observed since 2017. We shall provide an updated review of the recent experimental and theoretical progresses in this active field. Besides the conventional heavy hadrons, we shall also review the recently observed open heavy flavor tetraquark states X(2900) and T + cc (3875) as well as the hidden heavy flavor multiquark states X(6900), P cs (4459) 0 , Z cs (3985) − , Z cs (4000) + , and Z cs (4220) + . We will also cover the recent progresses on the glueballs and light hybrid mesons, which are the direct manifestations of the non-Abelian SU (3) gauge interaction of the Quantum Chromodynamics in the low-energy region.

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Section: Charmed-strange Mesons and The D S0 (2590)mentioning

confidence: 99%

An updated review of the new hadron states

Chen¹,

Chen²,

Liu³

et al. 2022

Preprint

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“…Therefore, for a system with R < a 0 , the effects of the finite interaction range should play an important role. In the case of the deuteron in the N N scattering, actually, R = 4.31 fm and a 0 = 5.42 fm (i.e., a 0 > R), suggesting the importance of the finite interaction range [27][28][29].…”

Section: A Low-energy Universality and Weak-binding Relationmentioning

confidence: 94%

“…In Ref. [29], the authors introduce the effects of R typ to a 0 and r e as the phenomenological term, and estimate the likelihood of the compositeness model-independently.…”

Section: Introductionmentioning

confidence: 99%

Structure of exotic hadrons by weak-binding relation with finite range correction

Kinugawa,

Hyodo

2022

Preprint

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The composite nature of a shallow bound state is studied by using the weak-binding relation, which connects the compositeness of the bound state with observables. We first show that the previous weak-binding relation cannot be applied to the system with a large effective range. To overcome this difficulty, we introduce the finite range correction by redefining the typical length scale in the weak-binding relation. A method to estimate the uncertainty of the compositeness is proposed. It is numerically demonstrated that the range correction enlarges the applicable region of the weak-binding relation. Finally, we apply the improved weak-binding relation to the actual hadrons, nuclei, and atomic systems (deuteron, X(3872), D * s0 (2317), Ds1(2460), N Ω dibaryon, ΩΩ dibaryon, 3 Λ H, and 4 He dimer) to discuss their internal structure from the compositeness. We present a reasonable estimation of the compositeness of the deuteron by properly taking into account the uncertainty. The results of X(3872) and the N Ω dibaryon show that the range correction is important to estimate the compositeness of physical states.

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“…There has been some renewed interest recently [1][2][3][4] in refinements of the concepts of "compositeness" and "elementariness" of bound states and resonances [5][6][7][8][9][10][11][12][13][14][15][16][17][18][19][20], which can be extracted from scattering data, e.g. through the Weinberg relations [21] for the scattering length and effective range in the case of near-threshold bound states.…”

Section: Introductionmentioning

confidence: 99%

“…Generalizations of Eqs. ( 5) and ( 6) are extensively discussed in the literature [1][2][3][4][5][6][7][8][9][10][11][12][13][14], but for the simple setting studied here, the above relations are adequate. To assess the validity of the linear approximations in Eq.…”

Section: Introductionmentioning

confidence: 99%

A toy model for "elementariness"

Bruns¹

2022

Preprint

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Motivated by recent efforts to analyze corrections to Weinberg's relations for the scattering length and effective range in the presence of a near-threshold bound state, we play around with an instructive toy model for non-relativistic scattering in a central potential. The model allows to interpolate between bound-state configurations of high "compositeness", where the wave function is spread over a wide region beyond the range of the interaction, and compact configurations of high "elementariness", where the wave function is confined to a small region around the center of the potential.

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Compositeness of weakly S-wave bound states from next-to-leading Weinberg's relations

Cited by 4 publications

References 92 publications

An updated review of the new hadron states

An updated review of the new hadron states

Structure of exotic hadrons by weak-binding relation with finite range correction

A toy model for "elementariness"

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