Pole structure of the Λ(1405) in a recent QCD simulation

Molina, R.; Doring, M.

doi:10.1103/PhysRevD.94.056010

Title: Pole structure of the $Λ (1405)$ in a recent QCD simulation

Abstract

The Λ(1405) baryon is difficult to detect in experiment, absent in many quark model calculations, and supposedly manifested through a two-pole structure. Its uncommon properties made it subject to numerous experimental and theoretical studies in recent years. Lattice-QCD eigenvalues for different quark masses were recently reported by the Adelaide group. We compare these eigenvalues to predictions of a model based on Unitary Chiral Perturbation Theory. The UχPT calculation predicts the quark mass dependence remarkably well. It also explains the overlap pattern with different meson-baryon components, mainly πΣ and K¯N, at different quark masses. As a result, more accurate lattice QCD data are required to draw definite conclusions on the nature of the Λ(1405).

Authors:

Molina, R. ^[1]; Doring, M. ^[2]

The George Washington Univ., Washington, D.C. (United States)
The George Washington Univ., Washington, D.C. (United States); Thomas Jefferson National Accelerator Facility (TJNAF), Newport News, VA (United States)

Publication Date:: Tue Sep 27 00:00:00 EDT 2016

Research Org.:: Thomas Jefferson National Accelerator Facility (TJNAF), Newport News, VA (United States)

Sponsoring Org.:: USDOE Office of Science (SC), Nuclear Physics (NP)

OSTI Identifier:: 1328673

Report Number(s):: JLAB-THY-16-2318; DOE/OR/23177-3906; arXiv:1512.05831
Journal ID: ISSN 2470-0010; PRVDAQ; TRN: US1700162

Grant/Contract Number:: 1415459; 1452055; AC05-06OR23177

Resource Type:: Accepted Manuscript

Journal Name:: Physical Review D

Additional Journal Information:: Journal Volume: 94; Journal Issue: 5; Journal ID: ISSN 2470-0010

Publisher:: American Physical Society (APS)

Country of Publication:: United States

Language:: English

Subject:: 72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS

Citation Formats


                    Molina, R., and Doring, M. Pole structure of the Λ(1405) in a recent QCD simulation.  United States: N. p., 2016. 
Web.  doi:10.1103/PhysRevD.94.056010.

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                    Molina, R., & Doring, M. Pole structure of the Λ(1405) in a recent QCD simulation.  United States.  https://doi.org/10.1103/PhysRevD.94.056010

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                    Molina, R., and Doring, M. Tue .  
"Pole structure of the Λ(1405) in a recent QCD simulation".  United States.  https://doi.org/10.1103/PhysRevD.94.056010.  https://www.osti.gov/servlets/purl/1328673.

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@article{osti_1328673,

  title        = {Pole structure of the Λ(1405) in a recent QCD simulation},

  author       = {Molina, R. and Doring, M.},

  abstractNote = {The Λ(1405) baryon is difficult to detect in experiment, absent in many quark model calculations, and supposedly manifested through a two-pole structure. Its uncommon properties made it subject to numerous experimental and theoretical studies in recent years. Lattice-QCD eigenvalues for different quark masses were recently reported by the Adelaide group. We compare these eigenvalues to predictions of a model based on Unitary Chiral Perturbation Theory. The UχPT calculation predicts the quark mass dependence remarkably well. It also explains the overlap pattern with different meson-baryon components, mainly πΣ and K¯N, at different quark masses. As a result, more accurate lattice QCD data are required to draw definite conclusions on the nature of the Λ(1405).},

  doi          = {10.1103/PhysRevD.94.056010},

  journal      = {Physical Review D},

  number       = 5,

  volume       = 94,

  place        = {United States},

  year         = {Tue Sep 27 00:00:00 EDT 2016},

  month        = {Tue Sep 27 00:00:00 EDT 2016}

}

Copy to clipboard

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Kaon–nucleon scattering lengths from kaonic deuterium experiments revisited
journal, October 2011

Döring, M.; Meißner, U. -G.
Physics Letters B, Vol. 704, Issue 5
DOI: 10.1016/j.physletb.2011.09.099

Meson-baryon reactions with strangeness $- 1$ within a chiral framework
journal, March 2013

Guo, Zhi-Hui; Oller, J. A.
Physical Review C, Vol. 87, Issue 3
DOI: 10.1103/PhysRevC.87.035202

Dynamical coupled-channel approaches on a momentum lattice
journal, December 2011

Döring, M.; Haidenbauer, J.; Meißner, U. -G.
The European Physical Journal A, Vol. 47, Issue 12
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SU(3) chiral dynamics with coupled channels eta and kaon photoproduction
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Kaiser, N.; Waas, T.; Weise, W.
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Isolating the $Λ (1405)$ in Lattice QCD
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Menadue, Benjamin J.; Kamleh, Waseem; Leinweber, Derek B.
Physical Review Letters, Vol. 108, Issue 11
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Chiral dynamics of the two Λ(1405) states
journal, September 2003

Jido, D.; Oller, J. A.; Oset, E.
Nuclear Physics A, Vol. 725
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$K^{-} p \to π^{0} π^{0} Σ^{0}$ at $p_{K^{-}} = 514 - 750 MeV ∕ c$ and comparison with other $π^{0} π^{0}$ production
journal, September 2004

Prakhov, S.; Nefkens, B. M. K.; Allgower, C. E.
Physical Review C, Vol. 70, Issue 3
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Measurement of the $Σ π$ photoproduction line shapes near the $Λ (1405)$
journal, March 2013

Moriya, K.; Schumacher, R. A.; Adhikari, K. P.
Physical Review C, Vol. 87, Issue 3
DOI: 10.1103/PhysRevC.87.035206

Evidence That the Deuteron Is Not an Elementary Particle
journal, February 1965

Weinberg, Steven
Physical Review, Vol. 137, Issue 3B
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Wave functions of composite hadron states and relationship to couplings of scattering amplitudes for general partial waves
journal, July 2012

Aceti, F.; Oset, E.
Physical Review D, Vol. 86, Issue 1
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Probabilistic interpretation of compositeness relation for resonances
journal, May 2016

Guo, Zhi-Hui; Oller, J. A.
Physical Review D, Vol. 93, Issue 9
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Chiral SU(3) theory of antikaon–nucleon interactions with improved threshold constraints
journal, May 2012

Ikeda, Yoichi; Hyodo, Tetsuo; Weise, Wolfram
Nuclear Physics A, Vol. 881
DOI: 10.1016/j.nuclphysa.2012.01.029

Internal structure of the resonant $Λ$ (1405) state in chiral dynamics
journal, May 2011

Sekihara, Takayasu; Hyodo, Tetsuo; Jido, Daisuke
Physical Review C, Vol. 83, Issue 5
DOI: 10.1103/PhysRevC.83.055202

Model Calculation for the ${Y_{0}}^{*} (1405)$ Resonance State
journal, January 1967

Dalitz, R. H.; Wong, T. C.; Rajasekaran, G.
Physical Review, Vol. 153, Issue 5
DOI: 10.1103/PhysRev.153.1617

Works referencing / citing this record:

Status of the $${\mathbf {\Lambda (1405)}}$$ Λ ( 1405 )
journal, April 2018

Mai, Maxim
Few-Body Systems, Vol. 59, Issue 4
DOI: 10.1007/s00601-018-1389-4

Structure of the Roper resonance from lattice QCD constraints
journal, May 2018

Wu, Jia-jun; Leinweber, Derek B.; Liu, Zhan-wei
Physical Review D, Vol. 97, Issue 9
DOI: 10.1103/physrevd.97.094509

Three-body unitarity in the finite volume
journal, December 2017

Mai, M.; Döring, M.
The European Physical Journal A, Vol. 53, Issue 12
DOI: 10.1140/epja/i2017-12440-1

Structure of the Roper Resonance from Lattice QCD Constraints
text, January 2017

Wu, Jia-jun; Leinweber, Derek B.; Liu, Zhan-wei
arXiv
DOI: 10.48550/arxiv.1703.10715

Three-body Unitarity in the Finite Volume
text, January 2017

Mai, M.; Döring, M.
arXiv
DOI: 10.48550/arxiv.1709.08222

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Title: Pole structure of the Λ(1405) in a recent QCD simulation

Abstract

Citation Formats

P -wave baryons in the quark model journal, December 1978

K D , η D s interaction in finite volume and the D s * 0 ( 2317 ) resonance journal, January 2012

Couplings in coupled channels versus wave functions: Application to the X ( 3872 ) resonance journal, January 2010

Strange and nonstrange quark mass dependence of elastic light resonances from SU(3) unitarized chiral perturbation theory to one loop journal, March 2010

Further evidence on the nature of the Λ(1405) journal, August 1986

Excited baryons in lattice QCD journal, June 2003

Non-perturbative chiral approach to S-wave interactions journal, May 1998

Dynamical coupled-channels model of K − p reactions. II. Extraction of Λ * and Σ * hyperon resonances journal, August 2015

data and Λ (1405) journal, May 1973

Bound states, resonances, and poles in low-energy K ¯ N interaction models journal, June 1990

Spectrum and decays of kaonic hydrogen journal, June 2004

Charged Σ hyperon production by K− meson interactions at rest journal, June 1978

Observation of Kaonic Hydrogen K α X Rays journal, April 1997

Lattice QCD Evidence that the Λ ( 1405 ) Resonance is an Antikaon-Nucleon Molecule journal, April 2015

Hadronic atoms in QCD+QED journal, February 2008

QCD with two light dynamical chirally improved quarks: Baryons journal, April 2013

Energy Level Displacements in Pi-Mesonic Atoms journal, November 1954

Compositeness of dynamically generated states in a chiral unitary approach journal, January 2012

Physics opportunities with meson beams journal, October 2015

The role of the Λ(1405) in the pp → pK+Λ(1405) reaction journal, December 2007

Scattering in the π N negative parity channel in lattice QCD journal, March 2013

Kaonic production of $ \Lambda$ (1405) off deuteron target in chiral dynamics journal, October 2009

Surprises in Threshold Antikaon-Nucleon Physics journal, October 2005

Understanding the nature of Λ ( 1405 ) through Regge physics journal, April 2016

Meson-meson interactions in a nonperturbative chiral approach journal, February 1999

Flavor structure of the excited baryon spectra from lattice QCD journal, March 2013

K ¯ + N → K + Ξ reaction and S = − 1 hyperon resonances journal, June 2015

Λ(1405) and meson-baryon interactions in a quark model journal, May 1994

Dynamical coupled-channels model of K − p reactions: Determination of partial-wave amplitudes journal, December 2014

Chiral dynamics in the presence of bound states: kaon–nucleon interactions revisited journal, February 2001

Low-lying Λ baryons from the lattice journal, February 2013

Constraints on the chiral unitary $$\bar KN$$ amplitude from πΣK+ photoproduction data journal, March 2015

Evidence that the a0(980) and f0(980) are not elementary particles journal, April 2004

Low-energy antikaon-nucleon interaction journal, April 1987

Kaonic hydrogen atom and low energy K ¯ N interaction journal, May 1992

Antikaon–nucleon interaction and Λ(1405) in chiral SU(3) dynamics journal, October 2016

The phenomenological representation of K-nucleon scattering and reaction amplitudes journal, July 1960

K − p scattering length from scattering experiments journal, November 2006

Cloudy bag model for the S - D wave K ¯- N system journal, December 1993

S -wave meson-nucleon scattering in an SU(3) cloudy bag model journal, March 1985

Unitarized Chiral Perturbation Theory in a finite volume: Scalar meson sector journal, November 2011

Some properties of the charged Σ hyperons journal, November 1971

Kaonic hydrogen atom and Λ ( 1405 ) journal, April 1980

Compositeness of the strange, charm, and beauty odd parity Λ states journal, August 2015

The radiative decay of the Λ(1405) and its two-pole structure journal, May 2007

Λ ( 1405 ) poles obtained from π 0 Σ 0 photoproduction data journal, May 2013

The K ¯ N → K Ξ reaction in coupled-channels chiral models up to next-to-leading order journal, July 2015

Measurement of the Kaonic Hydrogen X-Ray Spectrum journal, June 2005

Strategy to find the two Λ ( 1405 ) states from lattice QCD simulations journal, November 2012

Erratum: Meson-meson interactions in a nonperturbative chiral approach [Phys. Rev. D 59, 074001 (1999)] journal, October 1999

Isospin 0 and 1 resonances from π Σ photoproduction data journal, November 2013

Light hadron spectroscopy using domain wall valence quarks on an asqtad sea journal, March 2009

Kaon-nucleon interaction and excited hyperons journal, January 1990

Λ ( 1405 ) production in the π − p → K 0 π Σ reaction journal, December 2003

Helicity amplitudes of the $ \Lambda$(1670) and two $ \Lambda$(1405) as dynamically generated resonances journal, July 2010

A method to measure the antikaon–nucleon scattering length in lattice QCD journal, November 2009

Initial-state interactions for K − -proton radiative capture journal, July 1995

Origin of resonances in the chiral unitary approach journal, August 2008

Chiral perturbation theory: Expansions in the mass of the strange quark journal, January 1985

Evidence for the Two-Pole Structure of the Λ ( 1405 ) Resonance journal, July 2005

Nucleon, Δ , and Ω excited state spectra in N f = 2 + 1 lattice QCD journal, July 2010

Photoproduction of K∗ for the study of Λ(1405) journal, July 2004

Interplay of quark and meson degrees of freedom in a near-threshold resonance: Multi-channel case journal, August 2011

Partial-wave analysis of K ¯ N scattering reactions journal, September 2013

Coupled-channel model for K ¯ N scattering in the resonant region journal, February 2016

Compositeness of baryonic resonances: Application to the Δ ( 1232 ) , N ( 1535 ) , and N ( 1650 ) resonances journal, March 2016

On the pole content of coupled channels chiral approaches used for the K ¯ N system journal, October 2016

Recoil corrections in antikaon-deuteron scattering journal, March 2015

Spin and parity measurement of the Λ ( 1405 ) baryon journal, February 2014

Structure and Compositeness of Hadron Resonances journal, November 2013

Chiral dynamics of kaon-nucleon interactions, revisited journal, July 2005

On the strangeness -1 S-wave meson-baryon scattering journal, April 2006

Meson-baryon components in the states of the baryon decuplet journal, March 2014

Magnetic moments of the Λ ( 1405 ) and Λ ( 1670 ) resonances journal, August 2002

Erratum: Meson-meson interactions in a nonperturbative chiral approach [Phys. Rev. D 59 , 074001 (1999)] journal, May 2007

Observation of kaonic hydrogen atom x rays journal, October 1998

Chiral dynamics and the low-energy kaon-nucleon interaction journal, November 1995

Title: Pole structure of the $Λ (1405)$ in a recent QCD simulation

$P$ -wave baryons in the quark model
journal, December 1978

$K D$ , $η D_{s}$ interaction in finite volume and the $D_{s * 0} (2317)$ resonance
journal, January 2012

Couplings in coupled channels versus wave functions: Application to the $X (3872)$ resonance
journal, January 2010

Strange and nonstrange quark mass dependence of elastic light resonances from SU(3) unitarized chiral perturbation theory to one loop
journal, March 2010

Further evidence on the nature of the Λ(1405)
journal, August 1986

Excited baryons in lattice QCD
journal, June 2003

Non-perturbative chiral approach to S-wave interactions
journal, May 1998

Dynamical coupled-channels model of $K^{-} p$ reactions. II. Extraction of $Λ^{}$ and $Σ^{}$ hyperon resonances
journal, August 2015

data and Λ (1405)
journal, May 1973

Bound states, resonances, and poles in low-energy K ¯ N interaction models
journal, June 1990

Spectrum and decays of kaonic hydrogen
journal, June 2004

Charged Σ hyperon production by K− meson interactions at rest
journal, June 1978

Observation of Kaonic Hydrogen $K_{α}$ X Rays
journal, April 1997

Lattice QCD Evidence that the $Λ (1405)$ Resonance is an Antikaon-Nucleon Molecule
journal, April 2015

Hadronic atoms in QCD+QED
journal, February 2008

QCD with two light dynamical chirally improved quarks: Baryons
journal, April 2013

Energy Level Displacements in Pi-Mesonic Atoms
journal, November 1954

Compositeness of dynamically generated states in a chiral unitary approach
journal, January 2012

Physics opportunities with meson beams
journal, October 2015

The role of the Λ(1405) in the pp → pK+Λ(1405) reaction
journal, December 2007

Scattering in the $π N$ negative parity channel in lattice QCD
journal, March 2013

Kaonic production of $ \Lambda$ (1405) off deuteron target in chiral dynamics
journal, October 2009

Surprises in Threshold Antikaon-Nucleon Physics
journal, October 2005

Understanding the nature of $Λ (1405)$ through Regge physics
journal, April 2016

Meson-meson interactions in a nonperturbative chiral approach
journal, February 1999

Flavor structure of the excited baryon spectra from lattice QCD
journal, March 2013

$\bar{K} + N \to K + Ξ$ reaction and $S = - 1$ hyperon resonances
journal, June 2015

Λ(1405) and meson-baryon interactions in a quark model
journal, May 1994

Dynamical coupled-channels model of $K^{-} p$ reactions: Determination of partial-wave amplitudes
journal, December 2014

Chiral dynamics in the presence of bound states: kaon–nucleon interactions revisited
journal, February 2001

Low-lying $Λ$ baryons from the lattice
journal, February 2013

Constraints on the chiral unitary $$\bar KN$$ amplitude from πΣK+ photoproduction data
journal, March 2015

Evidence that the a0(980) and f0(980) are not elementary particles
journal, April 2004

Low-energy antikaon-nucleon interaction
journal, April 1987

Kaonic hydrogen atom and low energy K ¯ N interaction
journal, May 1992

Antikaon–nucleon interaction and Λ(1405) in chiral SU(3) dynamics
journal, October 2016

The phenomenological representation of K-nucleon scattering and reaction amplitudes
journal, July 1960

$K^{-} p$ scattering length from scattering experiments
journal, November 2006

Cloudy bag model for the S - D wave K ¯- N system
journal, December 1993

S -wave meson-nucleon scattering in an SU(3) cloudy bag model
journal, March 1985

Unitarized Chiral Perturbation Theory in a finite volume: Scalar meson sector
journal, November 2011

Some properties of the charged Σ hyperons
journal, November 1971

Kaonic hydrogen atom and $Λ (1405)$
journal, April 1980

Compositeness of the strange, charm, and beauty odd parity $Λ$ states
journal, August 2015

The radiative decay of the Λ(1405) and its two-pole structure
journal, May 2007

$Λ (1405)$ poles obtained from $π^{0} Σ^{0}$ photoproduction data
journal, May 2013

The $\bar{K} N \to K Ξ$ reaction in coupled-channels chiral models up to next-to-leading order
journal, July 2015

Measurement of the Kaonic Hydrogen X-Ray Spectrum
journal, June 2005

Strategy to find the two $Λ (1405)$ states from lattice QCD simulations
journal, November 2012

Erratum: Meson-meson interactions in a nonperturbative chiral approach [Phys. Rev. D 59, 074001 (1999)]
journal, October 1999

Isospin 0 and 1 resonances from $π Σ$ photoproduction data
journal, November 2013

Light hadron spectroscopy using domain wall valence quarks on an asqtad sea
journal, March 2009

Kaon-nucleon interaction and excited hyperons
journal, January 1990

$Λ (1405)$ production in the $π^{-} p \to K^{0} π Σ$ reaction
journal, December 2003

Helicity amplitudes of the $ \Lambda$(1670) and two $ \Lambda$(1405) as dynamically generated resonances
journal, July 2010

A method to measure the antikaon–nucleon scattering length in lattice QCD
journal, November 2009

Initial-state interactions for $K^{-}$ -proton radiative capture
journal, July 1995

Origin of resonances in the chiral unitary approach
journal, August 2008

Chiral perturbation theory: Expansions in the mass of the strange quark
journal, January 1985

Evidence for the Two-Pole Structure of the $Λ (1405)$ Resonance
journal, July 2005

Nucleon, $Δ$ , and $Ω$ excited state spectra in $N_{f} = 2 + 1$ lattice QCD
journal, July 2010

Photoproduction of K∗ for the study of Λ(1405)
journal, July 2004

Interplay of quark and meson degrees of freedom in a near-threshold resonance: Multi-channel case
journal, August 2011

Partial-wave analysis of $\bar{K} N$ scattering reactions
journal, September 2013

Coupled-channel model for $\bar{K} N$ scattering in the resonant region
journal, February 2016

Compositeness of baryonic resonances: Application to the $Δ (1232), N (1535)$ , and $N (1650)$ resonances
journal, March 2016

On the pole content of coupled channels chiral approaches used for the $\bar{K} N$ system
journal, October 2016

Recoil corrections in antikaon-deuteron scattering
journal, March 2015

Spin and parity measurement of the $Λ (1405)$ baryon
journal, February 2014

Structure and Compositeness of Hadron Resonances
journal, November 2013

Chiral dynamics of kaon-nucleon interactions, revisited
journal, July 2005

On the strangeness -1 S-wave meson-baryon scattering
journal, April 2006

Meson-baryon components in the states of the baryon decuplet
journal, March 2014

Magnetic moments of the $Λ (1405)$ and $Λ (1670)$ resonances
journal, August 2002

Erratum: Meson-meson interactions in a nonperturbative chiral approach [Phys. Rev. D 59 , 074001 (1999)]
journal, May 2007

Observation of kaonic hydrogen atom x rays
journal, October 1998

Chiral dynamics and the low-energy kaon-nucleon interaction
journal, November 1995

Low lying S=−1 excited baryons and chiral symmetry
journal, February 2002

$S = - 1$ meson-baryon unitarized coupled channel chiral perturbation theory and the $S_{01}$ resonances Λ(1405) and -Λ(1670)
journal, April 2003