Two-Pole Nature of the Λ ( 1405 ) Resonance from Lattice QCD

Bulava, John; Cid-Mora, Bárbara; Hanlon, Andrew D.; Hörz, Ben; Mohler, Daniel; Morningstar, Colin; Moscoso, Joseph; Nicholson, Amy; Romero-López, Fernando; Skinner, Sarah; Walker-Loud, André

doi:10.1103/PhysRevLett.132.051901

Two-Pole Nature of the $Λ (1405)$ Resonance from Lattice QCD

Journal Article · Tue Jan 30 00:00:00 EST 2024 · Physical Review Letters

DOI:https://doi.org/10.1103/PhysRevLett.132.051901· OSTI ID:2283257

; ; ; ; ; ; ; ; ; ;

This Letter presents the first lattice QCD computation of the coupled channel $π Σ − \bar{K} N$ scattering amplitudes at energies near 1405 MeV. These amplitudes contain the resonance $Λ (1405)$ with strangeness $S = - 1$ and isospin, spin, and parity quantum numbers $I (J^{P}) = 0 (1 / 2^{-})$ . However, whether there is a single resonance or two nearby resonance poles in this region is controversial theoretically and experimentally. Using single-baryon and meson-baryon operators to extract the finite-volume stationary-state energies to obtain the scattering amplitudes at slightly unphysical quark masses corresponding to $m_{π} \approx 200 MeV$ and $m_{K} \approx 487 MeV$ , this study finds the amplitudes exhibit a virtual bound state below the $π Σ$ threshold in addition to the established resonance pole just below the $\bar{K} N$ threshold. Several parametrizations of the two-channel $K$ matrix are employed to fit the lattice QCD results, all of which support the two-pole picture suggested by SU(3) chiral symmetry and unitarity.

Published by the American Physical Society 2024

View Journal Article

Research Organization:: Brookhaven National Laboratory (BNL), Upton, NY (United States); Lawrence Berkeley National Laboratory (LBNL), Berkeley, CA (United States)

Sponsoring Organization:: National Science Foundation (NSF); USDOE Office of Science (SC), Basic Energy Sciences (BES). Scientific User Facilities (SUF); USDOE Office of Science (SC), Nuclear Physics (NP)

Contributing Organization:: Baryon Scattering (BaSc) Collaboration

Grant/Contract Number:: AC02-05CH11231; SC0011090; SC0012704; SC0021006

OSTI ID:: 2283257

Alternate ID(s):: OSTI ID: 2370335

Report Number(s):: BNL--225664-2024-JAAM; 051901

Journal Information:: Physical Review Letters, Journal Name: Physical Review Letters Journal Issue: 5 Vol. 132; ISSN 0031-9007; ISSN PRLTAO

Publisher:: American Physical SocietyCopyright Statement

Country of Publication:: United States

Language:: English

References (69)

Theory of Kaon-Nuclear Systems Hyodo, Tetsuo; Weise, Wolfram Handbook of Nuclear Physics https://doi.org/10.1007/978-981-15-8818-1_38-1	book	June 2022
Axial-vector coupling constant renormalization and the meson-baryon scattering lenghts Tomozawa, Y. Il Nuovo Cimento A, Vol. 46, Issue 4 https://doi.org/10.1007/BF02857517	journal	December 1966
Scalar mesons in a finite volume Bernard, V.; Lage, M.; Meißner, U. -G. Journal of High Energy Physics, Vol. 2011, Issue 1 https://doi.org/10.1007/JHEP01(2011)019	journal	January 2011
Simulation of QCD with N f = 2 + 1 flavors of non-perturbatively improved Wilson fermions Bruno, Mattia; Djukanovic, Dalibor; Engel, Georg P. Journal of High Energy Physics, Vol. 2015, Issue 2 https://doi.org/10.1007/JHEP02(2015)043	journal	February 2015
Status of the $${\mathbf {\Lambda (1405)}}$$ Λ ( 1405 ) Mai, Maxim Few-Body Systems, Vol. 59, Issue 4 https://doi.org/10.1007/s00601-018-1389-4	journal	April 2018
The phenomenological representation of K-nucleon scattering and reaction amplitudes Dalitz, R. H.; Tuan, S. F. Annals of Physics, Vol. 10, Issue 3 https://doi.org/10.1016/0003-4916(60)90001-4	journal	July 1960
Chiral dynamics and the low-energy kaon-nucleon interaction Kaiser, N.; Siegel, P. B.; Weise, W. Nuclear Physics A, Vol. 594, Issue 3 https://doi.org/10.1016/0375-9474(95)00362-5	journal	November 1995
Two-particle states on a torus and their relation to the scattering matrix Lüscher, Martin Nuclear Physics B, Vol. 354, Issue 2-3 https://doi.org/10.1016/0550-3213(91)90366-6	journal	May 1991
Resonance scattering phase shifts on a non-rest-frame lattice Rummukainen, K.; Gottlieb, Steven Nuclear Physics B, Vol. 450, Issue 1-2 https://doi.org/10.1016/0550-3213(95)00313-H	journal	September 1995
Chiral dynamics in the presence of bound states: kaon–nucleon interactions revisited Oller, J. A.; Meißner, Ulf-G. Physics Letters B, Vol. 500, Issue 3-4 https://doi.org/10.1016/S0370-2693(01)00078-8	journal	February 2001
Chiral dynamics of the two Λ(1405) states Jido, D.; Oller, J. A.; Oset, E. Nuclear Physics A, Vol. 725 https://doi.org/10.1016/S0375-9474(03)01598-7	journal	September 2003
Non-perturbative chiral approach to S-wave interactions Oset, E.; Ramos, A. Nuclear Physics A, Vol. 635, Issue 1-2 https://doi.org/10.1016/S0375-9474(98)00170-5	journal	May 1998
Finite-volume effects for two-hadron states in moving frames Kim, C. H.; Sachrajda, C. T.; Sharpe, Stephen R. Nuclear Physics B, Vol. 727, Issue 1-2 https://doi.org/10.1016/j.nuclphysb.2005.08.029	journal	October 2005
Estimating the two-particle K -matrix for multiple partial waves and decay channels from finite-volume energies Morningstar, Colin; Bulava, John; Singha, Bijit Nuclear Physics B, Vol. 924 https://doi.org/10.1016/j.nuclphysb.2017.09.014	journal	November 2017
Elastic nucleon-pion scattering at m = 200 MeV from lattice QCD Bulava, John; Hanlon, Andrew D.; Hörz, Ben Nuclear Physics B, Vol. 987 https://doi.org/10.1016/j.nuclphysb.2023.116105	journal	February 2023
The Chroma Software System for Lattice QCD Edwards, Robert G.; Joó, Bálint Nuclear Physics B - Proceedings Supplements, Vol. 140 https://doi.org/10.1016/j.nuclphysbps.2004.11.254	journal	March 2005
A new measurement of kaonic hydrogen X-rays Bazzi, M.; Beer, G.; Bombelli, L. Physics Letters B, Vol. 704, Issue 3 https://doi.org/10.1016/j.physletb.2011.09.011	journal	October 2011
Photoproduction of K+Λ(1405)→K+π0Σ0 extending to forward angles and low momentum transfer Scheluchin, G.; Jude, T. C.; Alef, S. Physics Letters B, Vol. 833 https://doi.org/10.1016/j.physletb.2022.137375	journal	October 2022
Pole position of Λ(1405) measured in d(K−,n)πΣ reactions Aikawa, S.; Ajimura, S.; Akaishi, T. Physics Letters B, Vol. 837 https://doi.org/10.1016/j.physletb.2022.137637	journal	February 2023
The nature of the resonance in chiral dynamics Hyodo, Tetsuo; Jido, Daisuke Progress in Particle and Nuclear Physics, Vol. 67, Issue 1 https://doi.org/10.1016/j.ppnp.2011.07.002	journal	January 2012
QCD and the strange baryon spectrum Hyodo, Tetsuo; Niiyama, Masayuki Progress in Particle and Nuclear Physics, Vol. 120 https://doi.org/10.1016/j.ppnp.2021.103868	journal	September 2021
Array programming with NumPy Harris, Charles R.; Millman, K. Jarrod; van der Walt, Stéfan J. Nature, Vol. 585, Issue 7825 https://doi.org/10.1038/s41586-020-2649-2	journal	September 2020
Decay of the Λ(1405) hyperon to Σ⁰π⁰ measured at GlueX Wickramaarachchi, Nilanga; Schumacher, Reinhard A.; Kalicy, Grzegorz EPJ Web of Conferences, Vol. 271 https://doi.org/10.1051/epjconf/202227107005	journal	January 2022
Two particle states and the S -matrix elements in multi-channel scattering He, Song; Feng, Xu; Liu, Chuan Journal of High Energy Physics, Vol. 2005, Issue 07 https://doi.org/10.1088/1126-6708/2005/07/011	journal	July 2005
Review of Particle Physics No authors listed Progress of Theoretical and Experimental Physics, Vol. 2022, Issue 8 https://doi.org/10.1093/ptep/ptac097	journal	August 2022
Single-pole nature of the detectable Lambda(1405) Myint, Khin Swe; Akaishi, Yoshinori; Hassanvand, Maryam Progress of Theoretical and Experimental Physics, Vol. 2018, Issue 7 https://doi.org/10.1093/ptep/pty075	journal	July 2018
Neutron-Proton Scattering with Spin-Orbit Coupling. I. General Expressions Blatt, John M.; Biedenharn, L. C. Physical Review, Vol. 86, Issue 3 https://doi.org/10.1103/PhysRev.86.399	journal	May 1952
Strategy to find the two Λ ( 1405 ) states from lattice QCD simulations Martínez Torres, A.; Bayar, M.; Jido, D. Physical Review C, Vol. 86, Issue 5 https://doi.org/10.1103/PhysRevC.86.055201	journal	November 2012
Measurement of the Σ π photoproduction line shapes near the Λ ( 1405 ) Moriya, K.; Schumacher, R. A.; Adhikari, K. P. Physical Review C, Vol. 87, Issue 3 https://doi.org/10.1103/PhysRevC.87.035206	journal	March 2013
Isospin 0 and 1 resonances from π Σ photoproduction data Roca, L.; Oset, E. Physical Review C, Vol. 88, Issue 5 https://doi.org/10.1103/PhysRevC.88.055206	journal	November 2013
Construction of a local K ¯ N − π Σ − π Λ potential and composition of the Λ ( 1405 ) Miyahara, Kenta; Hyodo, Tetsuo; Weise, Wolfram Physical Review C, Vol. 98, Issue 2 https://doi.org/10.1103/PhysRevC.98.025201	journal	August 2018
Theoretical study of the Λ(1405) resonance in Ξb0→D0(πΣ) decay Miyahara, Kenta; Hyodo, Tetsuo Physical Review C, Vol. 98, Issue 2 https://doi.org/10.1103/PhysRevC.98.025202	journal	August 2018
Λ ( 1405 ) as a K ¯ N Feshbach resonance in the Skyrme model Ezoe, Takashi; Hosaka, Atsushi Physical Review D, Vol. 102, Issue 1 https://doi.org/10.1103/PhysRevD.102.014046	journal	July 2020
Charm-baryon semileptonic decays and the strange Λ * resonances: New insights from lattice QCD Meinel, Stefan; Rendon, Gumaro Physical Review D, Vol. 105, Issue 5 https://doi.org/10.1103/PhysRevD.105.L051505	journal	March 2022
Lattice QCD study of πΣ−K¯N scattering and the Λ(1405) resonance Bulava, John; Cid-Mora, Bárbara; Hanlon, Andrew D. Physical Review D, Vol. 109, Issue 1 https://doi.org/10.1103/PhysRevD.109.014511	journal	January 2024
P -wave baryons in the quark model Isgur, Nathan; Karl, Gabriel Physical Review D, Vol. 18, Issue 11 https://doi.org/10.1103/PhysRevD.18.4187	journal	December 1978
Hadron scattering lengths in lattice QCD Fukugita, M.; Kuramashi, Y.; Okawa, M. Physical Review D, Vol. 52, Issue 5 https://doi.org/10.1103/PhysRevD.52.3003	journal	September 1995
Negative-parity baryon spectrum in quenched anisotropic lattice QCD Nemoto, Y.; Nakajima, N.; Matsufuru, H. Physical Review D, Vol. 68, Issue 9 https://doi.org/10.1103/PhysRevD.68.094505	journal	November 2003
Excited hadrons on the lattice: Baryons Burch, Tommy; Gattringer, Christof; Glozman, Leonid Ya. Physical Review D, Vol. 74, Issue 1 https://doi.org/10.1103/PhysRevD.74.014504	journal	July 2006
Low-lyingΛbaryons with spin1/2in two-flavor lattice QCD Takahashi, Toru T.; Oka, Makoto Physical Review D, Vol. 81, Issue 3 https://doi.org/10.1103/PhysRevD.81.034505	journal	February 2010
Meson-baryon scattering lengths from mixed-action lattice QCD Torok, A.; Beane, S. R.; Detmold, W. Physical Review D, Vol. 81, Issue 7 https://doi.org/10.1103/PhysRevD.81.074506	journal	April 2010
Improved stochastic estimation of quark propagation with Laplacian Heaviside smearing in lattice QCD Morningstar, C.; Bulava, J.; Foley, J. Physical Review D, Vol. 83, Issue 11 https://doi.org/10.1103/PhysRevD.83.114505	journal	June 2011
Scattering phases for meson and baryon resonances on general moving-frame lattices Göckeler, M.; Horsley, R.; Lage, M. Physical Review D, Vol. 86, Issue 9 https://doi.org/10.1103/PhysRevD.86.094513	journal	November 2012
Low-lying Λ baryons from the lattice Engel, Georg P.; Lang, C. B.; Schäfer, Andreas Physical Review D, Vol. 87, Issue 3 https://doi.org/10.1103/PhysRevD.87.034502	journal	February 2013
QCD with two light dynamical chirally improved quarks: Baryons Engel, Georg P.; Lang, C. B.; Mohler, Daniel Physical Review D, Vol. 87, Issue 7 https://doi.org/10.1103/PhysRevD.87.074504	journal	April 2013
Coupled-channel scattering on a torus Guo, Peng; Dudek, Jozef J.; Edwards, Robert G. Physical Review D, Vol. 88, Issue 1 https://doi.org/10.1103/PhysRevD.88.014501	journal	July 2013
Moving multichannel systems in a finite volume with application to proton-proton fusion Briceño, Raúl A.; Davoudi, Zohreh Physical Review D, Vol. 88, Issue 9 https://doi.org/10.1103/PhysRevD.88.094507	journal	November 2013
Two-particle multichannel systems in a finite volume with arbitrary spin Briceño, Raúl A. Physical Review D, Vol. 89, Issue 7 https://doi.org/10.1103/PhysRevD.89.074507	journal	April 2014
Low energy scattering phase shifts for meson-baryon systems Detmold, William; Nicholson, Amy N. Physical Review D, Vol. 93, Issue 11 https://doi.org/10.1103/PhysRevD.93.114511	journal	June 2016
Pole structure of the Λ ( 1405 ) in a recent QCD simulation Molina, R.; Döring, M. Physical Review D, Vol. 94, Issue 5 https://doi.org/10.1103/PhysRevD.94.056010	journal	September 2016
Publisher’s Note: Pole structure of the Λ ( 1405 ) in a recent QCD simulation [Phys. Rev. D 94 , 056010 (2016)] Molina, R.; Doring, M. Physical Review D, Vol. 94, Issue 7 https://doi.org/10.1103/PhysRevD.94.079901	journal	October 2016
Flavor structure of Λ baryons from lattice QCD: From strange to charm quarks Gubler, Philipp; Takahashi, Toru T.; Oka, Makoto Physical Review D, Vol. 94, Issue 11 https://doi.org/10.1103/PhysRevD.94.114518	journal	December 2016
Setting the scale for the CLS 2 + 1 flavor ensembles Bruno, Mattia; Korzec, Tomasz; Schaefer, Stefan Physical Review D, Vol. 95, Issue 7 https://doi.org/10.1103/PhysRevD.95.074504	journal	April 2017
Isolating the Λ ( 1405 ) in Lattice QCD Menadue, Benjamin J.; Kamleh, Waseem; Leinweber, Derek B. Physical Review Letters, Vol. 108, Issue 11 https://doi.org/10.1103/PhysRevLett.108.112001	journal	March 2012
Spin and parity measurement of the Λ ( 1405 ) baryon Moriya, K.; Schumacher, R. A.; Aghasyan, M. Physical Review Letters, Vol. 112, Issue 8 https://doi.org/10.1103/PhysRevLett.112.082004	journal	February 2014
Lattice QCD Evidence that the Λ ( 1405 ) Resonance is an Antikaon-Nucleon Molecule Hall, Jonathan M. M.; Kamleh, Waseem; Leinweber, Derek B. Physical Review Letters, Vol. 114, Issue 13 https://doi.org/10.1103/PhysRevLett.114.132002	journal	April 2015
Two- and Three-Pion Finite-Volume Spectra at Maximal Isospin from Lattice QCD Hörz, Ben; Hanlon, Andrew Physical Review Letters, Vol. 123, Issue 14 https://doi.org/10.1103/PhysRevLett.123.142002	journal	October 2019
Cross-Channel Constraints on Resonant Antikaon-Nucleon Scattering Lu, Jun-Xu; Geng, Li-Sheng; Doering, Michael Physical Review Letters, Vol. 130, Issue 7 https://doi.org/10.1103/PhysRevLett.130.071902	journal	February 2023
Pion Scattering Lengths Weinberg, Steven Physical Review Letters, Vol. 17, Issue 11 https://doi.org/10.1103/PhysRevLett.17.616	journal	September 1966
Possible Resonant State in Pion-Hyperon Scattering Dalitz, R. H.; Tuan, S. F. Physical Review Letters, Vol. 2, Issue 10 https://doi.org/10.1103/PhysRevLett.2.425	journal	May 1959
Matplotlib: A 2D Graphics Environment Hunter, John D. Computing in Science & Engineering, Vol. 9, Issue 3 https://doi.org/10.1109/MCSE.2007.55	journal	January 2007
Constraints on the chiral unitary $$\bar KN$$ amplitude from πΣK+ photoproduction data Mai, Maxim; Meißner, Ulf-G. The European Physical Journal A, Vol. 51, Issue 3 https://doi.org/10.1140/epja/i2015-15030-3	journal	March 2015
Hyperon III: $$K^{-}p - \pi \varSigma $$ coupled-channel dynamics in the $$\varLambda (1405)$$ mass region Anisovich, A. V.; Sarantsev, A. V.; Nikonov, V. A. The European Physical Journal A, Vol. 56, Issue 5 https://doi.org/10.1140/epja/s10050-020-00142-8	journal	May 2020
Constraining the $${\overline{\textrm{K}}}{\textrm{N}}$$ coupled channel dynamics using femtoscopic correlations at the LHC Acharya, S.; Adamová, D.; Adler, A. The European Physical Journal C, Vol. 83, Issue 4 https://doi.org/10.1140/epjc/s10052-023-11476-0	journal	April 2023
Spectrum and decays of kaonic hydrogen Meißner, U. -G.; Raha, U.; Rusetsky, A. The European Physical Journal C, Vol. 35, Issue 3 https://doi.org/10.1140/epjc/s2004-01859-4	journal	June 2004
Review of the $${\Lambda }$$(1405) A curious case of a strangeness resonance Mai, Maxim The European Physical Journal Special Topics, Vol. 230, Issue 6 https://doi.org/10.1140/epjs/s11734-021-00144-7	journal	May 2021
Lattice Study on Kaon–Nucleon Scattering Length in the i=1 Channel Meng, Guangwei; Miao, Chuan; Du, Xining International Journal of Modern Physics A, Vol. 19, Issue 26 https://doi.org/10.1142/S0217751X04019627	journal	October 2004
Scale setting for CLS 2+1 simulations Strassberger, Ben; Cè, Marco; Collins, Sara Proceedings of The 38th International Symposium on Lattice Field Theory — PoS(LATTICE2021) https://doi.org/10.22323/1.396.0135	conference	May 2022
Two-Pole Structures in QCD: Facts, Not Fantasy! Meißner, Ulf-G. Symmetry, Vol. 12, Issue 6 https://doi.org/10.3390/sym12060981	journal	June 2020

Similar Records

Observation of the decay

ψ (3686) \to Σ^{0} {\bar{Σ}}^{0} ω

Journal Article · Sun May 11 20:00:00 EDT 2025 · Physical Review. D. · OSTI ID:2565742

Study of light-meson resonances decaying to

K_{S}^{0} K π

in the

B \to (K_{S}^{0} K π) K

channels

Journal Article · Wed May 14 20:00:00 EDT 2025 · Physical Review. D. · OSTI ID:2566610

Lattice QCD study of

π Σ - \bar{K} N

scattering and the

Λ (1405)

resonance

Journal Article · Mon Jan 29 19:00:00 EST 2024 · Physical Review. D. · OSTI ID:2283242

Related Subjects

73 NUCLEAR PHYSICS AND RADIATION PHYSICS

Two-Pole Nature of the Λ ( 1405 ) Resonance from Lattice QCD

Citation Formats

References (69)

Similar Records

Related Subjects

Two-Pole Nature of the $Λ (1405)$ Resonance from Lattice QCD