<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mi mathvariant="normal">Λ</mml:mi><mml:mo mathvariant="bold" stretchy="false">(</mml:mo><mml:mn>1405</mml:mn><mml:mo mathvariant="bold" stretchy="false">)</mml:mo></mml:math>
 as a 
<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mover accent="true"><mml:mi>K</mml:mi><mml:mo stretchy="false">¯</mml:mo></mml:mover><mml:mi>N</mml:mi></mml:math>
 Feshbach resonance in the Skyrme model

Ezoe, Takashi

doi:10.1103/physrevd.102.014046

Cited by 10 publications

(5 citation statements)

References 30 publications

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“…From the experimental side, a large amount of K − p data are available such as the total cross sections for the processes K − p → {K − p,K 0 n, π 0 0 , π + − , π − + } [11][12][13][14], the ratios of K − p capture rates [15,16], and the measurement of the characteristics of kaonic hydrogen constraining the K − p S-wave scattering length in the SID-DHARTA experiment [17]. The (1405) has been investigated within a variety of theoretical approaches, e.g., the relativistic quark model [18], QCD sum rules [19], phenomenological potential models [20][21][22][23][24], the Skyrme model [25], the Hamiltonian effective field theory [26], and the chiral unitary approach [27][28][29][30][31][32][33][34][35][36][37][38][39][40][41][42][43][44]. Detailed discussions can be found in recent review articles, see, e.g., Refs.…”

Section: Introductionmentioning

confidence: 99%

The $${\varvec{\Lambda (1405)}}$$ in resummed chiral effective field theory

et al. 2021

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We study the unitarized meson–baryon scattering amplitude at leading order in the strangeness $$S=-1$$ S = - 1 sector using time-ordered perturbation theory for a manifestly Lorentz-invariant formulation of chiral effective field theory. By solving the coupled-channel integral equations with the full off-shell dependence of the effective potential and applying subtractive renormalization, we analyze the renormalized scattering amplitudes and obtain the two-pole structure of the $$\Lambda (1405)$$ Λ ( 1405 ) resonance. We also point out the necessity of including higher-order terms.

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Section: Introductionmentioning

confidence: 99%

The $${\varvec{\Lambda (1405)}}$$ in resummed chiral effective field theory

et al. 2021

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“…Even so, some exotic candidates have been observed in the light sector. For example, the Y (2175) could be considered as a tetraquark state [9][10][11][12], the (1405) is resulted from the K N interaction [13][14][15][16], while the (2012) is generated from the K * interactions [17][18][19][20].…”

Section: Introductionmentioning

confidence: 99%

$$\Xi (1620)^-$$ production in $$K^- p$$ scattering process

Guo,

Yue,

Chen

2024

Eur. Phys. J. C

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In the present work, the production of $$\Xi (1620)^-$$ Ξ ( 1620 ) - in the $$K^- p$$ K - p scattering process is investigated by using an effective Lagrangian approach, where $$\Xi (1620)^-$$ Ξ ( 1620 ) - is considered as a $$K^- \Lambda $$ K - Λ molecular state. Our estimations indicate that the cross sections for $$K^-p\rightarrow K^+ \Xi (1620)^-$$ K - p → K + Ξ ( 1620 ) - are $$(1.48 ^{+ 1.12}_{-0.69}) \, \upmu \textrm{b}$$ ( 1 . 48 - 0.69 + 1.12 ) μ b at $$P_K=2.8 \ \textrm{GeV}$$ P K = 2.8 GeV , where the uncertainties are resulted from the variation of the model parameter. As for the $$K^-p\rightarrow \pi ^0 \Xi ^- K^+$$ K - p → π 0 Ξ - K + process, the cross sections are estimated to be $$(0.61 ^{+0.47}_{-0.29})\, \upmu \textrm{b}$$ ( 0 . 61 - 0.29 + 0.47 ) μ b at $$P_K =2.87 \ \textrm{GeV}$$ P K = 2.87 GeV , which is consistent with the experimental measurements.

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“…Whereas, in the Skyrme model, the Λ(1405) state was assumed to be a narrowK N Feshbach resonance in Ref. [62]. Using a model-independent of Uniformized Mittag-Leffler expansion, Ref.…”

Section: Introductionmentioning

confidence: 99%

Is two-pole’s $$\varLambda (1405)$$ one state or two?

2021

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To understand the nature of two poles for the $$\varLambda (1405)$$ Λ ( 1405 ) state, we revisit the interactions of $${\bar{K}}N$$ K ¯ N and $$\pi \Sigma $$ π Σ with their coupled channels, where two-pole structure is found in the second Riemann sheet. We also dynamically generate two poles in the single channel interaction of $${\bar{K}}N$$ K ¯ N and $$\pi \Sigma $$ π Σ , respectively. Moreover, we make a further study of two poles’ properties by evaluating the couplings, the compositeness, the wave functions, and the radii for the interactions of four coupled channels, two coupled channels and the single channel. Our results show that the nature of two poles is unique. The higher-mass pole is a pure $${\bar{K}} N$$ K ¯ N molecule, and the lower-mass one is a composite state of mainly $$\pi \Sigma $$ π Σ with tiny component $${\bar{K}} N$$ K ¯ N . From our results, one can conclude that the $$\varLambda (1405)$$ Λ ( 1405 ) state may be overlapped with two different states of the same quantum numbers.

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Λ(1405) as a K¯N Feshbach resonance in the Skyrme model

Cited by 10 publications

References 30 publications

The $${\varvec{\Lambda (1405)}}$$ in resummed chiral effective field theory

The $${\varvec{\Lambda (1405)}}$$ in resummed chiral effective field theory

$$\Xi (1620)^-$$ production in $$K^- p$$ scattering process

Is two-pole’s $$\varLambda (1405)$$ one state or two?

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