Internal structure of resonant Lambda(1405) state in chiral dynamics

2); (2) Kyoto U.; (3) Tokyo Inst. Tech.); Daisuke Jido (2) ((1) Kyoto U.; Kyoto; Takayasu Sekihara (1; Tetsuo Hyodo (3); Yukawa Inst.

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Internal structure of resonant Lambda(1405) state in chiral dynamics

Takayasu Sekihara (1, 2), Tetsuo Hyodo (3), Daisuke Jido (2) ((1) Kyoto U., (2) Kyoto U., Yukawa Inst., Kyoto, (3) Tokyo Inst. Tech.)

Nuclear Theory · Submitted 15 Dec 2010

abstract compiled · 2026-09-23 · no language-model review

The authors' main claim As a result, we find that the resonant Lambda(1405) state is composed of widely spread Kbar around N, which gives dominant component inside the Lambda(1405), with escaping pi Sigma component.

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arXiv ID1012.3232 (version 2)

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Citation2), (2) Kyoto U., (3) Tokyo Inst. Tech.), Daisuke Jido (2) ((1) Kyoto U., Kyoto, Takayasu Sekihara (1, Tetsuo Hyodo (3), Yukawa Inst.. "Internal structure of resonant Lambda(1405) state in chiral dynamics." arXiv:1012.3232 (2010). https://pith.science/paper/5EV5BAGP

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The internal structure of the resonant Lambda(1405) state is investigated based on meson-baryon coupled-channels chiral dynamics, by evaluating density distributions obtained from the form factors of the Lambda(1405) state. The form factors are defined as an extension of the ordinary stable particles and are directly evaluated from the meson-baryon scattering amplitude, paying attention to the charge conservation of the probe interaction. For the resonant Lambda(1405) state we calculate the density distributions in two ways. One is on the pole position of the Lambda(1405) in the complex energy plane, which evaluates the resonant Lambda(1405) structure without contamination from nonresonant backgrounds, and another on the real energy axis around the Lambda(1405) resonance energy, which may be achieved in experiments. Using sereval probe interactions and channel decomposition, we separate the various contributions to the internal structure of the Lambda(1405). As a result, we find that the resonant Lambda(1405) state is composed of widely spread Kbar around N, which gives dominant component inside the Lambda(1405), with escaping pi Sigma component. Furthermore, we consider Kbar N bound state without decay channels, with which we can observe the internal structure of the bound state within real numbers. We also study the dependence of the form factors on the binding energy and meson mass. This verifies that the form factor defined through the scattering amplitude serves as a natural generalization of the form factor for the resonance state. The relation between the interaction strength and the meson mass shows that the physical kaon mass appears to be within the suitable range to form a molecular bound state with the nucleon through the chiral SU(3) interaction.

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What the classifier reports for each sentence. The number is the probability it gave the label.
#	sentence	role	the authors' own work	states the main conclusion	strength
s0	The internal structure of the resonant Lambda(1405) state is investigated based on meson-baryon coupled-channels chiral dynamics, by evaluating density distributions obtained from the form factors of the Lambda(1405) state.	contribution 0.90	0.91	0.06	asserted 0.95
s1	The form factors are defined as an extension of the ordinary stable particles and are directly evaluated from the meson-baryon scattering amplitude, paying attention to the charge conservation of the probe interaction.	method 0.99	0.72	0.02	asserted 1.00
s2	For the resonant Lambda(1405) state we calculate the density distributions in two ways.	method 0.93	0.90	0.02	asserted 0.90
s3	One is on the pole position of the Lambda(1405) in the complex energy plane, which evaluates the resonant Lambda(1405) structure without contamination from nonresonant backgrounds, and another on the real energy axis around the Lambda(1405) resonance energy, which may be achieved in experiments.	method 0.98	0.82	0.03	hedged possibility 0.84
s4	Using sereval probe interactions and channel decomposition, we separate the various contributions to the internal structure of the Lambda(1405).	method 0.97	0.94	0.03	asserted 0.98
s5	As a result, we find that the resonant Lambda(1405) state is composed of widely spread Kbar around N, which gives dominant component inside the Lambda(1405), with escaping pi Sigma component.	result 1.00	0.96	0.81	asserted 1.00
s6	Furthermore, we consider Kbar N bound state without decay channels, with which we can observe the internal structure of the bound state within real numbers.	contribution 0.64	0.88	0.04	asserted 0.73
s7	We also study the dependence of the form factors on the binding energy and meson mass.	contribution 0.77	0.93	0.02	asserted 0.86
s8	This verifies that the form factor defined through the scattering amplitude serves as a natural generalization of the form factor for the resonance state.	interpretation 0.74	0.82	0.10	asserted 0.99
s9	The relation between the interaction strength and the meson mass shows that the physical kaon mass appears to be within the suitable range to form a molecular bound state with the nucleon through the chiral SU(3) interaction.	interpretation 0.77	0.83	0.18	hedged possibility 0.95

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Original abstract

The internal structure of the resonant Lambda(1405) state is investigated based on meson-baryon coupled-channels chiral dynamics, by evaluating density distributions obtained from the form factors of the Lambda(1405) state. The form factors are defined as an extension of the ordinary stable particles and are directly evaluated from the meson-baryon scattering amplitude, paying attention to the charge conservation of the probe interaction. For the resonant Lambda(1405) state we calculate the density distributions in two ways. One is on the pole position of the Lambda(1405) in the complex energy plane, which evaluates the resonant Lambda(1405) structure without contamination from nonresonant backgrounds, and another on the real energy axis around the Lambda(1405) resonance energy, which may be achieved in experiments. Using sereval probe interactions and channel decomposition, we separate the various contributions to the internal structure of the Lambda(1405). As a result, we find that the resonant Lambda(1405) state is composed of widely spread Kbar around N, which gives dominant component inside the Lambda(1405), with escaping pi Sigma component. Furthermore, we consider Kbar N bound state without decay channels, with which we can observe the internal structure of the bound state within real numbers. We also study the dependence of the form factors on the binding energy and meson mass. This verifies that the form factor defined through the scattering amplitude serves as a natural generalization of the form factor for the resonance state. The relation between the interaction strength and the meson mass shows that the physical kaon mass appears to be within the suitable range to form a molecular bound state with the nucleon through the chiral SU(3) interaction.

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References

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Cited by 4 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

Lattice QCD Evidence that the Lambda(1405) Resonance is an Antikaon-Nucleon Molecule
hep-lat 2014-11 conditional novelty 7.0 of 10

The Lambda(1405) resonance is dominated by a bound antikaon-nucleon molecular component, indicated by a vanishing strange-quark magnetic form factor in lattice QCD as quark masses approach physical values.
Exotic Hadrons from Heavy Ion Collisions
nucl-th 2017-02 conditional novelty 5.0 of 10

Coalescence and statistical models of heavy ion collisions predict that compact multiquark hadrons are produced about an order of magnitude less abundantly than hadronic molecules or ordinary excited states of the same mass.
Reanalysis of lattice QCD spectra leading to the $D_{s0}^*(2317)$ and $D_{s1}^*(2460)$
hep-lat 2014-12 conditional novelty 5.0 of 10

A reanalysis of three lattice QCD energy levels finds the Ds0*(2317) and Ds1*(2460) to be bound KD and KD* states about 40 MeV below threshold, with roughly 70% and 57% meson-meson probability.
Structure and compositeness of hadron resonances
hep-ph 2013-10 accept novelty 2.0 of 10

Compositeness, the field renormalization constant, gives a model-independent measure of hadron structure for weakly bound states, but its extension to unstable resonances remains an open problem.

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13 arXiv papers cite this in 19 sentences

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Papers whose main result relates to this one's

Found among the papers closest to this one by title and main claim. Pith's classifier compared each pair's main results and a second model family confirmed the relation; checked against two further families, shown conflicts agreed 118 times in 120 and shown same results 218 times in 239. The quoted sentence is the other paper's main claim.

States the same result 2 papers

Using several probe interactions and channel decomposition, we find that the resonant Lambda(1405) state is dominantly composed of widely spread Kbar around N, with a small fraction of the escaping pi Sigma component.

Probing internal structure of Lambda(1405) in meson-baryon dynamics with chiral symmetry · 1.00
Using several probe currents and channel decomposition, we find that the resonant Lambda(1405) state is dominantly composed of widely spread Kbar around N, with escaping pi Sigma component.

Internal structure of the Lambda(1405) resonance probed in chiral unitary amplitude · 0.99

Papers citing it · 14 sentences without a confident label

Uses its method or tool 2 papers

We follow the approach established in Ref. [ref] where the eigenvalue equation of the model is designed to reproduce finite-volume chiral effective field theory [ref] in the weak coupling limit.

Lattice QCD Evidence that the Lambda(1405) Resonance is an Antikaon-Nucleon Molecule · Introduction · 0.98
Then the form factor, $F^μ(Q^2)$, can be extracted by [ref] , [equation] where $Q^2$ is squared current momentum, $z^(')$ center-of-mass energy in complex plane, and $Z_R$ the $$ pole position.

Probing internal structure of Lambda(1405) in meson-baryon dynamics with chiral symmetry · Internal structure of $Λ(1405)$ · 0.99

Compares with it 1 paper

These results are compatible with the results of Refs. [ref] and crossed check by two coupled channels results.

Is two-poles' $\Lambda(1405)$ one state or two? · Coupled channels approach · 0.90

Cites it as background 2 papers

The mass and different decay properties of $Λ(1405)$ were studied using different theoretical methods including lattice QCD [ref] .

Mass and residue of $ \Lambda(1405)$ as hybrid and excited ordinary baryon · Introduction · 0.90
Based on the need to clarify its obscure nature, various properties of the $Λ(1405)$ state, such as its mass and decays, were investigated using different approaches, see for instance, the Refs. [ref] and the references therein.

Investigation of $\Lambda(1405)$ as a molecular pentaquark state · Introduction · 0.94

What it cites · 77 sentences without a confident label

Uses the method or tool of 7 papers

Following Ref. [ref] , with assumption that the intermediate states of the scattering are composed of only one octet meson and one octet baryon and with neglect of the left-hand cuts, one can write the inverse of the general form of the scattering amplitudes fulfilling unitarity as, T_ij^-1 (√(s)) = - δ_ij G_i (√(s)) + 𝒯_ij^-1 (√(s)) ,

Chiral dynamics in the presence of bound states: kaon-nucleon interactions revisited · $$ in chiral dynamics · 0.98
Here we explain the method to extract the matrix elements of the resonance state from the scattering amplitudes of dynamical approaches [ref] .

Magnetic moments of the Lambda(1405) and Lambda(1670) resonances · Matrix elements of resonance state in scattering amplitudes · 0.98
Here we explain the method to extract the matrix elements of the resonance state from the scattering amplitudes of dynamical approaches [ref] .

Electromagnetic mean squared radii of Lambda(1405) in chiral dynamics · Matrix elements of resonance state in scattering amplitudes · 0.98

Uses data or values from 4 papers

Finally we choose the subtraction constant $a_i$ so as to reproduce the threshold properties of $$ observed in stopped $K^-$ capture on hydrogen [ref] , as done in Ref. [ref] , a_K̅ N = -1.84, _ηΛ a_πΣ = -2.00, _ηΣ a_πΛ = -1.83, a_ηΛ = -2.25, _K̅ N a_ηΣ = -2.38, _πΛ a_K Ξ = -2.67, with the regularization scale $μ_reg = 630$ [ref] .

Chiral Dynamics and the Low Energy Kaon-Nucleon Interaction · $$ in chiral dynamics · 0.92
Finally we choose the subtraction constant $a_i$ so as to reproduce the threshold properties of $$ observed in stopped $K^-$ capture on hydrogen [ref] , as done in Ref. [ref] , a_K̅ N = -1.84, _ηΛ a_πΣ = -2.00, _ηΣ a_πΛ = -1.83, a_ηΛ = -2.25, _K̅ N a_ηΣ = -2.38, _πΛ a_K Ξ = -2.67, with the regularization scale $μ_reg = 630$ [ref] .

Low lying S=-1 excited baryons and chiral symmetry · $$ in chiral dynamics · 0.92
The explicit value of the coefficient $C_ij$ for the $$ scattering is given in Ref. [ref] .

Non perturbative chiral approach to s-wave \bar{K}N interactions · $$ in chiral dynamics · 0.89

Compares with 1 paper

To compare with the coupling strengths from the amplitude in the isospin basis as in Ref. [ref] , a factor $√(N_I)$ should be multiplied with the isospin multiplicity $N_I=2$ for $K̅N$ and $KΞ$, and $N_I=3$ for $πΣ$.] From this Table, one can see that the lower pole $Z_1$ strongly couples to the $πΣ$ state, whereas the higher pole $Z_2$ dominantly couples to the $K̅N$ state.

Chiral Dynamics of the Two \Lambda(1405) States · $$ in chiral dynamics · 0.97

Cites as support 2 papers

This picture is also supported by the chiral unitary approach, where the $$ bound state is generated only by the attractive $$ interaction and channel coupling to $πΣ$ provides the $$ with the decay width [ref] .

Effective Kbar N interaction based on chiral SU(3) dynamics · Discussions · 0.97
As confirmed in Ref. [ref] , the form factor obtained in Eq. [ref] is a gauge invariant quantity.

Electromagnetic mean squared radii of Lambda(1405) in chiral dynamics · Matrix elements of resonance state in scattering amplitudes · 1.00

Cites as background 8 papers

The properties of the $$ in relation to electromagnetic dynamics have been investigated in the chiral unitary approach in Refs. [ref] .

Helicity Amplitudes of the Lambda(1670) and two Lambda(1405) as dynamically generated resonances · Introduction · 0.96
The properties of the $$ in relation to electromagnetic dynamics have been investigated in the chiral unitary approach in Refs. [ref] .

Magnetic moments of the Lambda(1405) and Lambda(1670) resonances · Introduction · 0.96
The properties of the $$ in relation to electromagnetic dynamics have been investigated in the chiral unitary approach in Refs. [ref] .

The radiative decay of the $\Lambda(1405)$ and its two-pole structure · Introduction · 0.96

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