Resonance on top of thresholds: The<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mrow><mml:msub><mml:mrow><mml:mi mathvariant="normal">Λ</mml:mi></mml:mrow><mml:mrow><mml:mi>c</mml:mi></mml:mrow></mml:msub><mml:mo stretchy="false">(</mml:mo><mml:mn>2595</mml:mn><mml:msup><mml:mrow><mml:mo stretchy="false">)</mml:mo></mml:mrow><mml:mrow><mml:mo>+</mml:mo></mml:mrow></mml:msup></mml:mrow></mml:math>as an extremely fine-tuned state

Guo, Zhi-Hui; Oller, J. A.

doi:10.1103/physrevd.93.054014

Cited by 39 publications

(36 citation statements)

References 59 publications

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“…In addition, there are several ways to interpret the complex compositeness such as taking Re X [17], |X| [14,23,24], and (1 + |X| − |Z|)/2 [6,7]. In principle these quantities may deviate fromX, but, in practice, when one treats narrow resonances, one can expect U 1, with which one will obtain similar results in any approaches: Re X |X| (1 + |X| − |Z|)/2 X .…”

Section: -5mentioning

confidence: 92%

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Two-body wave functions and compositeness from scattering amplitudes: General properties with schematic models

Sekihara

2017

Phys. Rev. C

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For a general two-body bound state in quantum mechanics, both in the stable and decaying cases, I establish a way to extract its two-body wave function in momentum space from the scattering amplitude of the constituent two particles. For this purpose, I first show that the two-body wave function of the bound state corresponds to the residue of the off-shell scattering amplitude at the bound state pole. Then, I examine my scheme to extract the two-body wave function from the scattering amplitude in several schematic models. As a result, the two-body wave function from the Lippmann-Schwinger equation coincides with that from the Schrödinger equation for an energy-independent interaction. Of special interest is that the two-body wave function from the scattering amplitude is automatically scaled; the norm of the two-body wave function, to which I refer as the compositeness, is unity for an energy-independent interaction, while the compositeness deviates from unity for an energy-dependent interaction, which can be interpreted to implement missing-channel contributions. I also discuss general properties of the two-body wave function and compositeness for bound states with the schematic models.

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Section: -5mentioning

confidence: 92%

“…Recently, the norm of the two-body wave function, which is called compositeness [12,13], was extracted from the hadron-hadron scattering amplitude with the separable interaction for candidates of hadronic molecules in, e.g., Refs. [13][14][15][16][17][18][19][20][21][22][23][24].…”

Section: Introductionmentioning

confidence: 99%

Two-body wave functions and compositeness from scattering amplitudes: General properties with schematic models

Sekihara

2017

Phys. Rev. C

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“…However, the CDD zero near the threshold harms the convergence of the ERE as pointed out in Refs. [6,15,17]. When the above case 2 is realized, because of the nearby CDD zero, the analysis with ERE may fail to describe the eigenstate pole.…”

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confidence: 99%

“…[16]. In a recent study [17], it is shown that the CDD zero accompanied by nearby πΣ c thresholds performs the crucial role to reproduce the mass and width of Λ c ð2595Þ. In Ref.…”

Section: Introductionmentioning

confidence: 99%

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Structure of hadron resonances with a nearby zero of the amplitude

Kamiya

Hyodo

2018

Phys. Rev. D

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We discuss the relation between the analytic structure of the scattering amplitude and the origin of an eigenstate represented by a pole of the amplitude. If the eigenstate is not dynamically generated by the interaction in the channel of interest, the residue of the pole vanishes in the zero coupling limit. Based on the topological nature of the phase of the scattering amplitude, we show that the pole must encounter with the Castillejo-Dalitz-Dyson (CDD) zero in this limit. It is concluded that the dynamical component of the eigenstate is small if a CDD zero exists near the eigenstate pole. We show that the line shape of the resonance is distorted from the Breit-Wigner form as an observable consequence of the nearby CDD zero. Finally, studying the positions of poles and CDD zeros of theKN-πΣ amplitude, we discuss the origin of the eigenstates in the Λð1405Þ region.

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The investigations of the P-wave Bs states combining quark model and lattice QCD in the coupled channel framework

Yang

Wang

et al. 2023

J. High Energ. Phys.

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Combining the quark model, the quark-pair-creation mechanism and B(*)$$ \overline{K} $$ K ¯ interaction, we have investigated the near-threshold P-wave Bs states in the framework of the Hamiltonian effective field theory. With the heavy quark flavor symmetry, all the parameters are determined in the Ds sector by fitting the lattice data. The masses of the bottom-strange partners of the $$ {D}_{s0}^{\ast }(2317) $$ D s 0 ∗ 2317 and $$ {D}_{s1}^{\ast }(2460) $$ D s 1 ∗ 2460 are predicted to be $$ {M}_{B_{s0}^{\ast }}={5730.2}_{-1.5}^{+2.4} $$ M B s 0 ∗ = 5730.2 − 1.5 + 2.4 MeV and $$ {M}_{B_{s1}^{\ast }}={5769.6}_{-1.6}^{+2.4} $$ M B s 1 ∗ = 5769.6 − 1.6 + 2.4 MeV, respectively, which are well consistent with the lattice QCD component. The two P-wave Bs states are the mixtures of the bare $$ \overline{b}s $$ b ¯ s core and B(*)$$ \overline{K} $$ K ¯ component. Moreover, we find a crossing point between the energy levels with and without the interaction Hamiltonian in the finite volume spectrum in the 0+ case, which corresponds to a CDD (Castillejo-Dalitz-Dyson) zero in the T-matrix of the $$ B\overline{K} $$ B K ¯ scattering. This CDD zero will help deepen the insights of the near-threshold states and can be examined by future lattice calculation.

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

Cited by 39 publications

References 59 publications

Two-body wave functions and compositeness from scattering amplitudes: General properties with schematic models

Two-body wave functions and compositeness from scattering amplitudes: General properties with schematic models

Structure of hadron resonances with a nearby zero of the amplitude

The investigations of the P-wave Bs states combining quark model and lattice QCD in the coupled channel framework

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