Unitary coupled-channels model for three-mesons decays of heavy mesons

Nakamura, Satoshi X.; Lee, Tsung-Shung H.; Sato, Toru

doi:10.1103/PhysRevD.84.114019

Title: Unitary coupled-channels model for three-mesons decays of heavy mesons

Abstract

In this study, a unitary coupled-channels model is presented for investigating the decays of heavy mesons and excited meson states into three light pseudoscalar mesons. The model accounts for the three-mesons final state interactions in the decay processes, as required by both the three-body and two-body unitarity conditions. In the absence of the Z-diagram mechanisms that are necessary consequences of the three-body unitarity, our decay amplitudes are reduced to a form similar to those used in the so-called isobar-model analysis. We apply our coupled-channels model to the three-pions decays of α₁(1260), π₂(1670), π₂(2100), and D⁰ mesons, and show that the Z-diagram mechanisms can contribute to the calculated Dalitz plot distributions by as much as 30% in magnitudes in the regions where f₀(600), ρ(770), and f₂(1270) dominate the distributions. Also, by fitting to the same Dalitz plot distributions, we demonstrate that the decay amplitudes obtained with the unitary model and the isobar model can be rather different, particularly in the phase that plays a crucial role in extracting the CKM CP-violating phase from the data of B meson decays. Our results indicate that the commonly used isobar model analysis must be extended to account for the final state interactions required bymore »« less

Authors:

Hiroyuki Kamano; Nakamura, Satoshi X. ^[1]; Lee, Tsung-Shung H. ^[2]; Sato, Toru ^[3]

Thomas Jefferson National Accelerator Facility (TJNAF), Newport News, VA (United States)
Argonne National Lab. (ANL), Argonne, IL (United States); Thomas Jefferson National Accelerator Facility (TJNAF), Newport News, VA (United States)
Osaka Univ., Osaka (Japan); Thomas Jefferson National Accelerator Facility (TJNAF), Newport News, VA (United States)

Publication Date:: Fri Dec 16 00:00:00 EST 2011

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

Sponsoring Org.:: USDOE Office of Science (SC)

OSTI Identifier:: 1031560

Alternate Identifier(s):: OSTI ID: 1098423

Report Number(s):: JLAB-THY-11-1385; DOE/OR/23177-1579; arXiv:1106.4523
Journal ID: ISSN 1550-7998; XW3076; TRN: US1200137

Grant/Contract Number:: AC05-06OR23177

Resource Type:: Accepted Manuscript

Journal Name:: Physical Review. D, Particles, Fields, Gravitation and Cosmology

Additional Journal Information:: Journal Volume: 84; Journal Issue: 11; Journal ID: ISSN 1550-7998

Publisher:: American Physical Society (APS)

Country of Publication:: United States

Language:: English

Subject:: 72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; B MESONS; DALITZ PLOT; DECAY; DECAY AMPLITUDES; FINAL-STATE INTERACTIONS; ISOBAR MODEL; MESONS; PHYSICS; PSEUDOSCALAR MESONS; STANDARD MODEL; UNITARITY; heavy-meson hadronic decay; exotic meson; 3-body unitarity

Citation Formats


                    Hiroyuki Kamano, Nakamura, Satoshi X., Lee, Tsung-Shung H., and Sato, Toru. Unitary coupled-channels model for three-mesons decays of heavy mesons.  United States: N. p., 2011. 
Web.  doi:10.1103/PhysRevD.84.114019.

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                    Hiroyuki Kamano, Nakamura, Satoshi X., Lee, Tsung-Shung H., & Sato, Toru. Unitary coupled-channels model for three-mesons decays of heavy mesons.  United States.  https://doi.org/10.1103/PhysRevD.84.114019

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                    Hiroyuki Kamano, Nakamura, Satoshi X., Lee, Tsung-Shung H., and Sato, Toru. Fri .  
"Unitary coupled-channels model for three-mesons decays of heavy mesons".  United States.  https://doi.org/10.1103/PhysRevD.84.114019.  https://www.osti.gov/servlets/purl/1031560.

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@article{osti_1031560,

  title        = {Unitary coupled-channels model for three-mesons decays of heavy mesons},

  author       = {Hiroyuki Kamano and Nakamura, Satoshi X. and Lee, Tsung-Shung H. and Sato, Toru},

  abstractNote = {In this study, a unitary coupled-channels model is presented for investigating the decays of heavy mesons and excited meson states into three light pseudoscalar mesons. The model accounts for the three-mesons final state interactions in the decay processes, as required by both the three-body and two-body unitarity conditions. In the absence of the Z-diagram mechanisms that are necessary consequences of the three-body unitarity, our decay amplitudes are reduced to a form similar to those used in the so-called isobar-model analysis. We apply our coupled-channels model to the three-pions decays of α1(1260), π2(1670), π2(2100), and D0 mesons, and show that the Z-diagram mechanisms can contribute to the calculated Dalitz plot distributions by as much as 30% in magnitudes in the regions where f0(600), ρ(770), and f2(1270) dominate the distributions. Also, by fitting to the same Dalitz plot distributions, we demonstrate that the decay amplitudes obtained with the unitary model and the isobar model can be rather different, particularly in the phase that plays a crucial role in extracting the CKM CP-violating phase from the data of B meson decays. Our results indicate that the commonly used isobar model analysis must be extended to account for the final state interactions required by the three-body unitarity to reanalyze the three-mesons decays of heavy mesons, thereby exploring hybrid or exotic mesons, and signatures of physics beyond the standard model.},

  doi          = {10.1103/PhysRevD.84.114019},

  journal      = {Physical Review. D, Particles, Fields, Gravitation and Cosmology},

  number       = 11,

  volume       = 84,

  place        = {United States},

  year         = {Fri Dec 16 00:00:00 EST 2011},

  month        = {Fri Dec 16 00:00:00 EST 2011}

}

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Journal Article Asner, D M ; Eppich, A ; Gronberg, J ; ... - Physical Review. D, Particles Fields

Based on a sample corresponding to 4.3x10{sup 6} produced {tau}-pair events, we have studied hadronic dynamics in the decay {tau}{sup -}{yields}{nu}{sub {tau}}{pi}{sup -}{pi}{sup 0}{pi}{sup 0} in data recorded by the CLEO II detector operating at the CESR e{sup +}e{sup -} collider. The decay is dominated by the process {tau}{sup -}{yields}{nu}{sub {tau}}a{sub 1}{sup -}(1260), with the a{sub 1}{sup -} meson decaying to three pions predominantly via the lowest dimensional (mainly S-wave) {rho}{sup -}{pi}{sup 0} Born amplitude. From model-dependent fits to the Dalitz plot and angular observables in bins of 3{pi} mass, we find significant additional contributions from amplitudes for a{sub 1}more »« less
https://doi.org/10.1103/PhysRevD.61.012002
Extraction of Meson Resonances from Three-pions Photo-production Reactions

Journal Article S. X. Nakamura, H. Kamano, T.-S. H. Lee, T. Sato - Phys. Rev. D

We have investigated the model dependence of meson resonance properties extracted from the Dalitz-plot analysis of the three-pions photoproduction reactions on the nucleon. Within a unitary model developed in Phys. Rev. D 84, 114019 (2011), we generate Dalitz-plot distributions as data to perform an isobar model fit that is similar to most of the previous analyses of three-pion production reactions. It is found that the resonance positions from the two models agree well when both fit the data accurately, except for the resonance poles near branch points. The residues of the resonant amplitudes extracted from the two models and bymore »« less
https://doi.org/10.1103/PhysRevD.86.114012
Dalitz Analysis of D⁰ to K$$0\atop{S}$$π⁺π^- and Measurement of the CKM Angle γa in Charged B^± Decays to D^(*) K^± Decays

Thesis/Dissertation Lau, Yan-Pan

Despite more than thirty years having elapsed since the discovery of CP violation, our understanding about the source and the nature of this phenomenon is still very limited. In the standard model of particle physics, CP violation is due to the presence of an non-irreducible weak phase in the Cabibbo-Kabayashi-Maskawa(CKM) matrix. Up to now, all the experimental results are in good agreement with the standard model. However, it is important for us to over-constrain the CKM quark-mixing matrix and explore the possibility of new physics beyond the standard model. The B meson provides an ideal place to measure CP violation due to its heavy mass and potentially large CP-violating effects. In particular, the angle γ of the Unitary Triangle relating the elements of the CKM matrix is extremely crucial in terms of CP violation and constraints on the new physics models. Various methods using B^- → D⁰K^- decays have been proposed to measure based on the interference between the V_cb and V_ub amplitudes. Despite the simple concept, the measurement turns out to be experimentally challenging due to the small branching fraction and the small value of τ_B, the amplitude ratio between the two contributing Feynman diagrams. In this thesis a novel technique to measure γ in B^- → D^(*) K^- decay using a Dalitz plot analysis of D⁰ → K{sub s}π⁺π^- is presented. Until the turn on of LHC _b [1] later in the decade, this remains the most promising method to measure γ. This thesis is roughly separated into two parts. The first part involves a study of hadron spectroscopy and the Dalitz plot analysis of the D⁰→ Kmore »« less
https://doi.org/10.2172/922231

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Dispersive analysis of $$$$\eta \rightarrow 3 \pi $$$$

Journal Article Colangelo, Gilberto ; Lanz, Stefan ; Leutwyler, Heinrich ; ... - European Physical Journal. C, Particles and Fields

Here, the dispersive analysis of the decaymore »« less
Cited by 43
https://doi.org/10.1140/epjc/s10052-018-6377-9

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Title: Unitary coupled-channels model for three-mesons decays of heavy mesons

Abstract

Citation Formats

Glueballs, hybrids, multiquarks journal, December 2007

Observation of a New J PC = 1 − + Exotic State in the Reaction π − p → π + π − π − p at 18 GeV / c journal, December 1998

Exotic and q q ¯ resonances in the π + π − π − system produced in π − p collisions at 18 GeV / c journal, March 2002

Partial wave analysis of the π − π − π + and π − π 0 π 0 systems and the search for a J P C = 1 − + meson journal, April 2006

Search for the Photoexcitation of Exotic Mesons in the π + π + π − System journal, March 2009

Meson dynamics beyond the quark model: Study of final-state interactions journal, March 1987

Role of P -wave inelasticity in J / ψ → π + π − π 0 journal, November 2010

Observation of a J PC = 1 − + Exotic Resonance in Diffractive Dissociation of 190 GeV / c π − into π − π − π + journal, June 2010

Measurement of the branching fraction of J / ψ → π + π − π 0 journal, July 2004

Study of the e + e − → π + π − π 0 process using initial state radiation with BABAR journal, October 2004

Analysis of three D → Kππ Dalitz plots journal, June 1994

Dalitz plot analysis of D → K π π decays journal, July 1993

Resonant substructure in Kππ decays of charmed D mesons journal, September 1987

Study of the Decay D 0 → K − π + π 0 in High-Energy Photoproduction journal, February 1984

Dalitz analysis of the decay D 0 → K − π + π 0 journal, April 2001

Measurement of the Cabibbo-Kobayashi-Maskawa Angle γ in B ∓ → D ( * ) K ∓ Decays with a Dalitz Analysis of D → K S 0 π − π + journal, September 2005

Measurement of C P Violation Parameters with a Dalitz Plot Analysis of B ± → D π + π − π 0 K ± journal, December 2007

Improved measurement of the CKM angle γ in B ∓ → D ( * ) K ( * ) ∓ decays with a Dalitz plot analysis of D decays to K S 0 π + π − and K S 0 K + K − journal, August 2008

Evidence for Direct C P Violation in the Measurement of the Cabbibo-Kobayashi-Maskawa Angle γ with B ∓ → D ( * ) K ( * ) ∓ Decays journal, September 2010

Measurement of ϕ 3 with a Dalitz plot analysis of B + → D ( * ) K ( * ) + decay journal, June 2006

Evidence for direct C P violation in the decay B ± → D ( * ) K ± , D → K S 0 π + π − and measurement of the CKM phase ϕ 3 journal, June 2010

Study of three-body charmless B decays journal, April 2002

Study of B meson decays to three-body charmless hadronic final states journal, January 2004

Evidence for Large Direct C P Violation in B ± → ρ ( 770 ) 0 K ± from Analysis of Three-Body Charmless B ± → K ± π ± π ± Decays journal, June 2006

Dalitz analysis of the three-body charmless decays B + → K + π + π − and B + → K + K + K − journal, May 2005

Dalitz analysis of three-body charmless B 0 → K 0 π + π − decay journal, January 2007

Observation of B → K S 0 π + π − and Evidence for B → K * ± π ∓ journal, December 2002

Measurements of the Branching Fractions and Bounds on the Charge Asymmetries of Charmless Three-Body Charged B Decays journal, July 2003

Dalitz-plot analysis of the decays B ± → K ± π ∓ π ± journal, October 2005

Erratum: Dalitz-plot analysis of the decays B ± → K ± π ∓ π ± [Phys. Rev. D 72 , 072003 (2005)] journal, November 2006

Measurements of neutral B decay branching fractions to K S 0 π + π − final states and the charge asymmetry of B 0 → K * + π − journal, February 2006

Evidence for direct C P violation from Dalitz-plot analysis of B ± → K ± π ∓ π ± journal, July 2008

Dalitz plot analysis of the decay B 0 ( B ¯ 0 ) → K ± π ∓ π 0 journal, September 2008

C P violation and kaon-pion interactions in B → K π + π − decays journal, May 2009

Modern Three-Hadron Physics book, January 1977

πNN Systems book, May 1990

Dynamical coupled-channel model of meson production reactions in the nucleon resonance region journal, February 2007

Dynamical coupled-channels model of π N scattering in the W ⩽ 2 GeV nucleon resonance region journal, December 2007

Analytic properties of the scattering amplitude and resonances parameters in a meson exchange model journal, October 2009

Towards three-body unitarity in D + → K − π + π + journal, November 2011

Unified theory of nuclear reactions journal, December 1958

A unified theory of nuclear reactions. II journal, August 1962

Effective Interactions for Mesons and Baryons in Nuclei journal, October 1997

Extraction of resonances from meson-nucleon reactions journal, February 2009

Extraction of electromagnetic transition form factors for nucleon resonances within a dynamical coupled-channels model journal, October 2010

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

Nonlinear realization and hidden local symmetries journal, July 1988

The role of resonances in chiral perturbation theory journal, July 1989

Chiral perturbation theory in the presence of resonances: Application to π π and π K scattering journal, October 1991

High statistics study of the reaction π−p→π−π+n: Apparatus, method of analysis, and general features of results at 17 GeV/c journal, June 1974

ππ Phase-shift analysis from 600 to 1900 MeV journal, November 1973

New high statistics measurement of Ke4 decay form factors and ππ scattering phase shifts journal, February 2008

A model-independent partial-wave analysis of the π+π− system produced at low four-momentum transfer in the reaction π−p ↑ → π+π−n at 17.2 GeV/c journal, January 1979

Resonances in coupled channels in nuclear and particle physics journal, February 1982

Review of Particle Physics journal, July 2010

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

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

Relativistic effects in scalar meson dynamics journal, September 1994

Do Multiquark Hadrons Exist? journal, March 1982

Three-Pion Decays of Unstable Particles journal, March 1964

Determining γ using B ± → DK ± with multibody D decays journal, September 2003

Feasibility study of model-independent approach to φ3 measurement using Dalitz plot analysis journal, June 2006

The use of quantum-correlated D0 decays for φ3 measurement journal, April 2008

Higher quarkonia journal, April 1997

Meson-exchange model for π N scattering and γ N →π N reaction journal, November 1996

Derivation of relativistic three-dimensional formalisms from the Bethe-Salpeter equation journal, December 1974

A Unified Theory of Nuclear Reactions, II journal, April 2000

Unified Theory of Nuclear Reactions journal, October 1964

Review of Particle Physics text, January 2008

Review of Particle Physics text, January 2018

Unified theory of nuclear reactions journal, June 1983

Review of Particle Physics text, January 2012

The use of quantum-correlated D^0 decays for phi3 measurement text, January 2008

Relativistic Effects in the Scalar Meson Dynamics text, January 1994

Meson-Meson interaction in a non-perturbative chiral approach text, January 1998

Triangle singularities in B ¯ 0 → χ c 1 K − π + relevant to Z 1 ( 4050 ) and Z 2 ( 4250 ) journal, July 2019

Three-body unitarity with isobars revisited journal, September 2017

Glueballs, hybrids, multiquarks
journal, December 2007

Observation of a New $J^{PC} = 1^{- +}$ Exotic State in the Reaction $π^{-} p \to π^{+} π^{-} π^{-} p$ at $18 GeV / c$
journal, December 1998

Exotic and $q \bar{q}$ resonances in the $π^{+} π^{-} π^{-}$ system produced in $π^{-} p$ collisions at $18 GeV / c$
journal, March 2002

Partial wave analysis of the $π^{-} π^{-} π^{+}$ and $π^{-} π^{0} π^{0}$ systems and the search for a $J^{P C} = 1^{- +}$ meson
journal, April 2006

Search for the Photoexcitation of Exotic Mesons in the $π^{+} π^{+} π^{-}$ System
journal, March 2009

Meson dynamics beyond the quark model: Study of final-state interactions
journal, March 1987

Role of $P$ -wave inelasticity in $J / ψ \to π^{+} π^{-} π^{0}$
journal, November 2010

Observation of a $J^{PC} = 1^{- +}$ Exotic Resonance in Diffractive Dissociation of $190 GeV / c$ $π^{-}$ into $π^{-} π^{-} π^{+}$
journal, June 2010

Measurement of the branching fraction of $J / \vec{ψ} π^{+} π^{-} π^{0}$
journal, July 2004

Study of the $e^{+} e^{-} \to π^{+} π^{-} π^{0}$ process using initial state radiation with BABAR
journal, October 2004

Analysis of three D → Kππ Dalitz plots
journal, June 1994

Dalitz plot analysis of $D \to K π π$ decays
journal, July 1993

Resonant substructure in Kππ decays of charmed D mesons
journal, September 1987

Study of the Decay $D^{0} \to K^{-} π^{+} π^{0}$ in High-Energy Photoproduction
journal, February 1984

Dalitz analysis of the decay $D^{0} \to K^{-} π^{+} π^{0}$
journal, April 2001

Measurement of the Cabibbo-Kobayashi-Maskawa Angle $γ$ in $B^{\mp} \to D^{(*)} K^{\mp}$ Decays with a Dalitz Analysis of $D \to K_{S}^{0} π^{-} π^{+}$
journal, September 2005

Measurement of $C P$ Violation Parameters with a Dalitz Plot Analysis of $B^{\pm} \to D_{π^{+} π^{-} π^{0}} K^{\pm}$
journal, December 2007

Improved measurement of the CKM angle $γ$ in $B^{\mp} \to D^{()} K^{() \mp}$ decays with a Dalitz plot analysis of $D$ decays to $K_{S}^{0} π^{+} π^{-}$ and $K_{S}^{0} K^{+} K^{-}$
journal, August 2008

Evidence for Direct $C P$ Violation in the Measurement of the Cabbibo-Kobayashi-Maskawa Angle $γ$ with $B^{\mp} \to D^{()} K^{() \mp}$ Decays
journal, September 2010

Measurement of $ϕ_{3}$ with a Dalitz plot analysis of $B^{+} \to D^{()} K^{() +}$ decay
journal, June 2006

Evidence for direct $C P$ violation in the decay $B^{\pm} \to D^{(} *^{)} K^{\pm}$ , $D \to K_{S}^{0} π^{+} π^{-}$ and measurement of the CKM phase $ϕ_{3}$
journal, June 2010

Study of three-body charmless B decays
journal, April 2002

Study of B meson decays to three-body charmless hadronic final states
journal, January 2004

Evidence for Large Direct $C P$ Violation in $B^{\pm} \to ρ (770)^{0} K^{\pm}$ from Analysis of Three-Body Charmless $B^{\pm} \to K^{\pm} π^{\pm} π^{\pm}$ Decays
journal, June 2006

Dalitz analysis of the three-body charmless decays $B^{+} \to K^{+} π^{+} π^{-}$ and $B^{+} \to K^{+} K^{+} K^{-}$
journal, May 2005

Dalitz analysis of three-body charmless $B^{0} \to K^{0} π^{+} π^{-}$ decay
journal, January 2007

Observation of $B \to K_{S}^{0} π^{+} π^{-}$ and Evidence for $B \to K^{* \pm} π^{\mp}$
journal, December 2002

Measurements of the Branching Fractions and Bounds on the Charge Asymmetries of Charmless Three-Body Charged $B$ Decays
journal, July 2003

Dalitz-plot analysis of the decays $B^{\pm} \to K^{\pm} π^{\mp} π^{\pm}$
journal, October 2005

Erratum: Dalitz-plot analysis of the decays $B^{\pm} \to K^{\pm} π^{\mp} π^{\pm}$ [Phys. Rev. D 72 , 072003 (2005)]
journal, November 2006

Measurements of neutral $B$ decay branching fractions to $K_{S}^{0} π^{+} π^{-}$ final states and the charge asymmetry of $B^{0} \to K^{* +} π^{-}$
journal, February 2006

Evidence for direct $C P$ violation from Dalitz-plot analysis of $B^{\pm} \to K^{\pm} π^{\mp} π^{\pm}$
journal, July 2008

Dalitz plot analysis of the decay $B^{0} ({\bar{B}}^{0}) \to K^{\pm} π^{\mp} π^{0}$
journal, September 2008

$C P$ violation and kaon-pion interactions in $B \to K π^{+} π^{-}$ decays
journal, May 2009

Modern Three-Hadron Physics
book, January 1977

πNN Systems
book, May 1990

Dynamical coupled-channel model of meson production reactions in the nucleon resonance region
journal, February 2007

Dynamical coupled-channels model of $π N$ scattering in the $W ⩽ 2$ GeV nucleon resonance region
journal, December 2007

Analytic properties of the scattering amplitude and resonances parameters in a meson exchange model
journal, October 2009

Towards three-body unitarity in $D^{+} \to K^{-} π^{+} π^{+}$
journal, November 2011

Unified theory of nuclear reactions
journal, December 1958

A unified theory of nuclear reactions. II
journal, August 1962

Effective Interactions for Mesons and Baryons in Nuclei
journal, October 1997

Extraction of resonances from meson-nucleon reactions
journal, February 2009

Extraction of electromagnetic transition form factors for nucleon resonances within a dynamical coupled-channels model
journal, October 2010

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

Nonlinear realization and hidden local symmetries
journal, July 1988

The role of resonances in chiral perturbation theory
journal, July 1989

Chiral perturbation theory in the presence of resonances: Application to π π and π K scattering
journal, October 1991

High statistics study of the reaction π−p→π−π+n: Apparatus, method of analysis, and general features of results at 17 GeV/c
journal, June 1974

ππ Phase-shift analysis from 600 to 1900 MeV
journal, November 1973

New high statistics measurement of Ke4 decay form factors and ππ scattering phase shifts
journal, February 2008

A model-independent partial-wave analysis of the π+π− system produced at low four-momentum transfer in the reaction π−p ↑ → π+π−n at 17.2 GeV/c
journal, January 1979

Resonances in coupled channels in nuclear and particle physics
journal, February 1982

Review of Particle Physics
journal, July 2010

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

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

Relativistic effects in scalar meson dynamics
journal, September 1994

Do Multiquark Hadrons Exist?
journal, March 1982

Three-Pion Decays of Unstable Particles
journal, March 1964

Determining $γ$ using $B^{\pm} \to {DK}^{\pm}$ with multibody D decays
journal, September 2003

Feasibility study of model-independent approach to φ3 measurement using Dalitz plot analysis
journal, June 2006

The use of quantum-correlated D0 decays for φ3 measurement
journal, April 2008

Higher quarkonia
journal, April 1997

Meson-exchange model for π N scattering and γ N →π N reaction
journal, November 1996

Derivation of relativistic three-dimensional formalisms from the Bethe-Salpeter equation
journal, December 1974

A Unified Theory of Nuclear Reactions, II
journal, April 2000

Unified Theory of Nuclear Reactions
journal, October 1964

Review of Particle Physics
text, January 2008

Review of Particle Physics
text, January 2018

Unified theory of nuclear reactions
journal, June 1983

Review of Particle Physics
text, January 2012

The use of quantum-correlated D^0 decays for phi3 measurement
text, January 2008

Relativistic Effects in the Scalar Meson Dynamics
text, January 1994

Meson-Meson interaction in a non-perturbative chiral approach
text, January 1998

Triangle singularities in ${\bar{B}}^{0} \to χ_{c 1} K^{-} π^{+}$ relevant to $Z_{1} (4050)$ and $Z_{2} (4250)$
journal, July 2019

Three-body unitarity with isobars revisited
journal, September 2017

The $\gamma p \to na^{+}_{2}(1320) \to n \rho^0 \pi^+$ reactions within an effective Lagrangian approach
journal, June 2014