The electromagnetic Sigma-to-Lambda hyperon transition form factors at low energies

Granados, Carlos; Leupold, Stefan; Perotti, Elisabetta

doi:10.1140/epja/i2017-12324-4

Title: The electromagnetic Sigma-to-Lambda hyperon transition form factors at low energies

Abstract

Using dispersion theory the low-energy electromagnetic form factors for the transition of a Sigma to a Lambda hyperon are related to the pion vector form factor. The additionally required input, i.e. the two-pion-Sigma-Lambda amplitudes are determined from relativistic next-to-leading-order (NLO) baryon chiral perturbation theory including the baryons from the octet and optionally from the decuplet. Pion rescattering is again taken into account by dispersion theory. It turns out that the inclusion of decuplet baryons is not an option but a necessity to obtain reasonable results. The electric transition form factor remains very small in the whole low-energy region. The magnetic transition form factor depends strongly on one not very well determined low-energy constant of the NLO Lagrangian. Furthermore, one obtains reasonable predictive power if this low-energy constant is determined from a measurement of the magnetic transition radius. Such a measurement can be performed at the future Facility for Antiproton and Ion Research (FAIR).

Authors:

Granados, Carlos ^[1]; Leupold, Stefan ^[2]; Perotti, Elisabetta ^[2]

Uppsala Univ., Uppsala (Sweden); Thomas Jefferson National Accelerator Facility (TJNAF), Newport News, VA (United States)
Uppsala Univ., Uppsala (Sweden)

Publication Date:: Fri Jun 09 00:00:00 EDT 2017

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

Sponsoring Org.:: USDOE

OSTI Identifier:: 1369457

Report Number(s):: JLAB-THY-17-2510; DOE/OR/23177-4186; arXiv:1701.09130
Journal ID: ISSN 1434-6001; PII: 860

Grant/Contract Number:: AC05-06OR23177

Resource Type:: Accepted Manuscript

Journal Name:: European Physical Journal. A

Additional Journal Information:: Journal Volume: 53; Journal Issue: 6; Journal ID: ISSN 1434-6001

Publisher:: Springer

Country of Publication:: United States

Language:: English

Subject:: 72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS

Citation Formats


                    Granados, Carlos, Leupold, Stefan, and Perotti, Elisabetta. The electromagnetic Sigma-to-Lambda hyperon transition form factors at low energies.  United States: N. p., 2017. 
Web.  doi:10.1140/epja/i2017-12324-4.

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                    Granados, Carlos, Leupold, Stefan, & Perotti, Elisabetta. The electromagnetic Sigma-to-Lambda hyperon transition form factors at low energies.  United States.  https://doi.org/10.1140/epja/i2017-12324-4

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                    Granados, Carlos, Leupold, Stefan, and Perotti, Elisabetta. Fri .  
"The electromagnetic Sigma-to-Lambda hyperon transition form factors at low energies".  United States.  https://doi.org/10.1140/epja/i2017-12324-4.  https://www.osti.gov/servlets/purl/1369457.

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@article{osti_1369457,

  title        = {The electromagnetic Sigma-to-Lambda hyperon transition form factors at low energies},

  author       = {Granados, Carlos and Leupold, Stefan and Perotti, Elisabetta},

  abstractNote = {Using dispersion theory the low-energy electromagnetic form factors for the transition of a Sigma to a Lambda hyperon are related to the pion vector form factor. The additionally required input, i.e. the two-pion-Sigma-Lambda amplitudes are determined from relativistic next-to-leading-order (NLO) baryon chiral perturbation theory including the baryons from the octet and optionally from the decuplet. Pion rescattering is again taken into account by dispersion theory. It turns out that the inclusion of decuplet baryons is not an option but a necessity to obtain reasonable results. The electric transition form factor remains very small in the whole low-energy region. The magnetic transition form factor depends strongly on one not very well determined low-energy constant of the NLO Lagrangian. Furthermore, one obtains reasonable predictive power if this low-energy constant is determined from a measurement of the magnetic transition radius. Such a measurement can be performed at the future Facility for Antiproton and Ion Research (FAIR).},

  doi          = {10.1140/epja/i2017-12324-4},

  journal      = {European Physical Journal. A},

  number       = 6,

  volume       = 53,

  place        = {United States},

  year         = {Fri Jun 09 00:00:00 EDT 2017},

  month        = {Fri Jun 09 00:00:00 EDT 2017}

}

Copy to clipboard

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Technical Report Chen, M

It is shown that the hyperon-nucleon two-paint vertices cannot be renormalized to zero in second order perturbation diagrams. These vertices are treated mutually coupled with the non-leptonic decay vertices of LAMBDA and SIGMA hyperons. A set of coupled equations among these vertices is derived within the frame of perturbation theory by assuming the relative parities of SIGMA - LAMBDA even, and LAMBDA --N-K and SIGMA -N-K odd. They are solved with the approximation of global symmetry and baryon mass degeneration whenever the latter would not cause difficulty. The solutions contain only two undetermined parameters, a proportionality constant and the productmore »« less
PION-HYPERON SCATTERING. INFLUENCE OF NON-SYMMETRIC $lambda$ AND $Sigma$ INTERACTION

Journal Article Amati, D ; Stanghellini, A ; Vitale, B - Nuovo Cimento (Italy) Divided into Nuovo Cimento A and Nuovo Cimento B

A field theoretical model is developed to study the low-energy pion scattering on LAMBDA or SIGMA hyperons, taking into account the LAMBDA - SIGMA mass difference and possible inequality of the coupling constants. From the results it is possible to study the corrections to the prediction of a theory in which LAMBDA and SIGMA are considered degenerate with respect to pion interactions. These corrections are of the order of the hyperon mass difference over the pion energy and can shift the possible resonances in an appreciable way. It is also briefly discussed which states can present resonances for particular choicesmore »« less
PION-HYPERON SCATTERING. INFLUENCE OF NON-SYMMETRIC $lambda$ AND $Sigma$ INTERACTION

Technical Report Amati, D ; Stanghellini, A ; Vitale, B

A field theoretical model is developed in order a study the low-energy pion scattering on LAMBDA or SIGMA hyperons, taking into account the LAMBDA - SIGMA msss difference and possible inequality of the coupling constants. From the results it is possible to study the corrections to the prediction of a theory in which LAMBDA and SIGMA are considered degenerate with respect to pion interactions. These corrections are of the order of the hyperon mass difference over the pion energy and can shift the possible resonances in an appreciable way. It is also briefly discussed which states can present resonances formore »« less

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Title: The electromagnetic Sigma-to-Lambda hyperon transition form factors at low energies

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Citation Formats

B l 4 decays and the extraction of | V u b | journal, March 2014

Dispersive analysis of ω→3π and ϕ→3π decays journal, May 2012

Axial-vector coupling constant renormalization and the meson-baryon scattering lenghts journal, December 1966

The nucleon and Δ-resonance masses in relativistic chiral effective-field theory journal, April 2006

Relativistic chiral SU(3) symmetry, large-Nc sum rules and meson–baryon scattering journal, March 2002

Roy–Steiner-equation analysis of pion–nucleon scattering journal, April 2016

Review of Particle Physics journal, October 2016

Scaling laws for large-momentum-transfer processes journal, March 1975

ππ scattering journal, June 2001

Unitarity Condition Below Physical Thresholds in the Normal and Anomalous Cases journal, January 1960

Chiral corrections to the baryon axial currents journal, April 1991

Field theory of nucleon to higher-spin baryon transitions journal, September 1999

Pion-pion scattering amplitude. IV. Improved analysis with once subtracted Roy-like equations up to 1100 MeV journal, April 2011

Effect of a Pion-Pion Scattering Resonance on Nucleon Structure. II journal, March 1960

Pion Scattering Lengths journal, September 1966

Octet-baryon axial-vector charges and S U ( 3 ) -breaking effects in the semileptonic hyperon decays journal, September 2014

The structure of the nucleon: Elastic electromagnetic form factors journal, July 2015

The size of the proton journal, July 2010

The proton radius puzzle journal, May 2015

�ber die magnetische Ablenkung von Wasserstoffmolek�len und das magnetische Moment des Protons. I journal, January 1933

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

Chiral dynamics and peripheral transverse densities journal, January 2014

Dispersion-theoretical analysis of the nucleon electromagnetic form factors journal, January 1996

Consistency of the π Δ interaction in chiral perturbation theory journal, May 2006

Baryon-pion couplings from large-Nc QCD journal, October 1993

On the solution of certain singular integral equations of quantum field theory journal, April 1958

Meson-baryon effective chiral Lagrangians to Script O( q 3 ) journal, September 2006

On the $\pi\pi$ π π continuum in the nucleon form factors and the proton radius puzzle journal, November 2016

On the general theory of collisions for particles with spin journal, August 1959

Baryon form factors in chiral perturbation theory journal, January 2001

Strange hadron production at SIS energies: an update from HADES journal, January 2016

ω → π 0 γ * and ϕ → π 0 γ * transition form factors in dispersion theory journal, September 2012

Baryon magnetic moments in chiral perturbation theory journal, August 1997

Electromagnetic excitation of the Δ(1232)-resonance journal, January 2007

Chiral perturbation theory to one loop journal, November 1984

Dispersive analysis for η→γγ ⋆ journal, December 2013

Phenomenological Lagrangians journal, April 1979

A schematic model of baryons and mesons journal, February 1964

Octet baryon charge radii, chiral symmetry, and decuplet intermediate states journal, January 2001

Dispersive analysis of the scalar form factor of the nucleon journal, June 2012

Dispersive analysis of the pion transition form factor journal, November 2014

On the chiral effective meson-baryon Lagrangian at third order⋆ journal, September 2006

A new parameterization for the pion vector form factor journal, August 2012

On the General Theory of Collisions for Particles with Spin journal, April 2000

The size of the proton: From the Lamb-shift in muonic hydrogen journal, October 2011

Pion Scattering Lengths journal, April 1969

Dispersive analysis of the scalar form factor of the nucleon conference, July 2013

Review of Particle Physics text, January 2008

The proton radius puzzle text, January 2018

A Schematic Model of Baryons and Mesons journal, August 2019

Roy–Steiner-equation analysis of pion–nucleon scattering journal, January 2017

Measurement of the π0→e+e−γ Dalitz decay at the Mainz Microtron text, January 2017

The proton radius puzzle text, January 2018

$B_{l4}$ decays and the extraction of $|V_{ub}|$ conference, June 2016

Review of Particle Physics text, January 2018

The proton radius puzzle journal, January 2017

Review of Particle Physics text, January 2012

Dispersive analysis of the pion transition form factor text, January 2022

A new Parameterization for the Pion Vector Form Factor text, January 2012

Dispersive analysis of the scalar form factor of the nucleon text, January 2012

Roy-Steiner-equation analysis of pion-nucleon scattering text, January 2015

Octet Baryon Charge Radii, Chiral Symmetry and Decuplet Intermediate States text, January 2000

Baryon form factors in chiral perturbation theory text, January 2000

Electromagnetic excitation of the Delta(1232)-resonance text, January 2006

Baryon-Pion Couplings from Large-N QCD text, January 1993

Dispersion-Theoretical Analysis of the Nucleon Electromagnetic Formfactors text, January 1995

Relativistic chiral SU(3) symmetry, large N_c sum rules and meson-baryon scattering text, January 2001

Field theory of nucleon to higher-spin baryon transitions text, January 1999

Time-Like Baryon Transitions studies with HADES journal, January 2019

Electromagnetic form factors of the transition from the spin-3/2 Σ to the Λ hyperon journal, January 2020

Nucleon form factors in dispersively improved chiral effective field theory. II. Electromagnetic form factors journal, May 2018

Nucleon parton distributions from hadronic quantum fluctuations journal, August 2019

Low-energy axial-vector transitions from decuplet to octet baryons journal, December 2019

Sequential hyperon decays in the reaction e + e − → Σ 0 Σ ¯ 0 journal, February 2020

Nucleon form factors in dispersively improved Chiral Effective Field Theory II: Electromagnetic form factors text, January 2017

Nucleon parton distributions from hadronic quantum fluctuations text, January 2018

Low-energy axial-vector transitions from decuplet to octet baryons text, January 2019

$B_{l 4}$ decays and the extraction of $| V_{u b} |$
journal, March 2014

Dispersive analysis of ω→3π and ϕ→3π decays
journal, May 2012

Axial-vector coupling constant renormalization and the meson-baryon scattering lenghts
journal, December 1966

The nucleon and Δ-resonance masses in relativistic chiral effective-field theory
journal, April 2006

Relativistic chiral SU(3) symmetry, large-Nc sum rules and meson–baryon scattering
journal, March 2002

Roy–Steiner-equation analysis of pion–nucleon scattering
journal, April 2016

Review of Particle Physics
journal, October 2016

Scaling laws for large-momentum-transfer processes
journal, March 1975

ππ scattering
journal, June 2001

Unitarity Condition Below Physical Thresholds in the Normal and Anomalous Cases
journal, January 1960

Chiral corrections to the baryon axial currents
journal, April 1991

Field theory of nucleon to higher-spin baryon transitions
journal, September 1999

Pion-pion scattering amplitude. IV. Improved analysis with once subtracted Roy-like equations up to 1100 MeV
journal, April 2011

Effect of a Pion-Pion Scattering Resonance on Nucleon Structure. II
journal, March 1960

Pion Scattering Lengths
journal, September 1966

Octet-baryon axial-vector charges and $S U (3)$ -breaking effects in the semileptonic hyperon decays
journal, September 2014

The structure of the nucleon: Elastic electromagnetic form factors
journal, July 2015

The size of the proton
journal, July 2010

The proton radius puzzle
journal, May 2015

�ber die magnetische Ablenkung von Wasserstoffmolek�len und das magnetische Moment des Protons. I
journal, January 1933

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

Chiral dynamics and peripheral transverse densities
journal, January 2014

Dispersion-theoretical analysis of the nucleon electromagnetic form factors
journal, January 1996

Consistency of the $π Δ$ interaction in chiral perturbation theory
journal, May 2006

Baryon-pion couplings from large-Nc QCD
journal, October 1993

On the solution of certain singular integral equations of quantum field theory
journal, April 1958

Meson-baryon effective chiral Lagrangians to Script O( q ³ )
journal, September 2006

On the $\pi\pi$ π π continuum in the nucleon form factors and the proton radius puzzle
journal, November 2016

On the general theory of collisions for particles with spin
journal, August 1959

Baryon form factors in chiral perturbation theory
journal, January 2001

Strange hadron production at SIS energies: an update from HADES
journal, January 2016

$ω \to π^{0} γ^{}$ and $ϕ \to π^{0} γ^{}$ transition form factors in dispersion theory
journal, September 2012

Baryon magnetic moments in chiral perturbation theory
journal, August 1997

Electromagnetic excitation of the Δ(1232)-resonance
journal, January 2007

Chiral perturbation theory to one loop
journal, November 1984

Dispersive analysis for η→γγ ⋆
journal, December 2013

Phenomenological Lagrangians
journal, April 1979

A schematic model of baryons and mesons
journal, February 1964

Octet baryon charge radii, chiral symmetry, and decuplet intermediate states
journal, January 2001

Dispersive analysis of the scalar form factor of the nucleon
journal, June 2012

Dispersive analysis of the pion transition form factor
journal, November 2014

On the chiral effective meson-baryon Lagrangian at third order⋆
journal, September 2006

A new parameterization for the pion vector form factor
journal, August 2012

On the General Theory of Collisions for Particles with Spin
journal, April 2000

The size of the proton: From the Lamb-shift in muonic hydrogen
journal, October 2011

Pion Scattering Lengths
journal, April 1969

Dispersive analysis of the scalar form factor of the nucleon
conference, July 2013

Review of Particle Physics
text, January 2008

The proton radius puzzle
text, January 2018

A Schematic Model of Baryons and Mesons
journal, August 2019

Roy–Steiner-equation analysis of pion–nucleon scattering
journal, January 2017

Measurement of the π0→e+e−γ Dalitz decay at the Mainz Microtron
text, January 2017

The proton radius puzzle
text, January 2018

$B_{l4}$ decays and the extraction of $|V_{ub}|$
conference, June 2016

Review of Particle Physics
text, January 2018

The proton radius puzzle
journal, January 2017

Review of Particle Physics
text, January 2012

Dispersive analysis of the pion transition form factor
text, January 2022

A new Parameterization for the Pion Vector Form Factor
text, January 2012

Dispersive analysis of the scalar form factor of the nucleon
text, January 2012

Roy-Steiner-equation analysis of pion-nucleon scattering
text, January 2015

Octet Baryon Charge Radii, Chiral Symmetry and Decuplet Intermediate States
text, January 2000

Baryon form factors in chiral perturbation theory
text, January 2000

Electromagnetic excitation of the Delta(1232)-resonance
text, January 2006

Baryon-Pion Couplings from Large-N QCD
text, January 1993

Dispersion-Theoretical Analysis of the Nucleon Electromagnetic Formfactors
text, January 1995

Relativistic chiral SU(3) symmetry, large N_c sum rules and meson-baryon scattering
text, January 2001

Field theory of nucleon to higher-spin baryon transitions
text, January 1999

Time-Like Baryon Transitions studies with HADES
journal, January 2019

Electromagnetic form factors of the transition from the spin-3/2 $Σ$ to the $Λ$ hyperon
journal, January 2020

Nucleon form factors in dispersively improved chiral effective field theory. II. Electromagnetic form factors
journal, May 2018

Nucleon parton distributions from hadronic quantum fluctuations
journal, August 2019

Low-energy axial-vector transitions from decuplet to octet baryons
journal, December 2019

Sequential hyperon decays in the reaction $e^{+} e^{-} \to Σ^{0} {\bar{Σ}}^{0}$
journal, February 2020

Nucleon form factors in dispersively improved Chiral Effective Field Theory II: Electromagnetic form factors
text, January 2017

Nucleon parton distributions from hadronic quantum fluctuations
text, January 2018

Low-energy axial-vector transitions from decuplet to octet baryons
text, January 2019

Constraining P and CP violation in the main decay of the neutral Sigma hyperon
journal, January 2019

Systematic study of octet-baryon electromagnetic form factors in covariant chiral perturbation theory
journal, November 2017