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Title: Transition form factors: γ * + p Δ ( 1232 ) , Δ ( 1600 )

Abstract

We report that electroproduction form factors describing the γ * p Δ + ( 1232 ) , Δ + ( 1600 ) transitions are computed using a fully dynamical diquark-quark approximation to the Poincaré-covariant three-body bound-state problem in relativistic quantum field theory. In this approach, the Δ ( 1600 ) is an analogue of the Roper resonance in the nucleon sector, appearing as the simplest radial excitation of the Δ ( 1232 ) . Precise measurements of the γ * p Δ + ( 1232 ) transition already exist on 0 Q 2 8 GeV 2 , and the calculated results compare favorably with the data outside the meson-cloud domain. The predictions for the γ * p Δ + ( 1600 ) magnetic dipole and electric quadrupole transition form factors are consistent with the empirical values at the real photon point, and extend to Q 2 6 m p 2 , enabling a meaningful direct comparison with experiment once analysis of existing data is completed. In both cases, the electric quadrupole form factor is particularly sensitive to deformation of the Δ -baryons. Interestingly, while the γ * p Δ + ( 1232 ) transition form factors are larger in magnitude than those for γ * p Δ + ( 1600 ) in some neighborhood of the real photon point, this ordering is reversed on Q 2 2 m p 2 , suggesting that the γ * p Δ + ( 1600 ) transition is more localized in configuration space.

Authors:
 [1];  [2];  [1]; ORCiD logo [3];  [4];  [5];  [6]
  1. Nanjing Univ. (China)
  2. Universidade Estadual Paulista, São Paulo (Brazil)
  3. Argonne National Lab. (ANL), Lemont, IL (United States)
  4. Institute for Advanced Simulation, Forschungszentrum Jülich and JARA, Jülich (Germany)
  5. Universidad Pablo de Olavide, Sevilla (Spain)
  6. Nanjing Univ. (China); Joint Center for Particle, Nuclear Physics and Cosmology, Nanjing (China)
Publication Date:
Research Org.:
Argonne National Lab. (ANL), Argonne, IL (United States)
Sponsoring Org.:
USDOE Office of Science (SC), Nuclear Physics (NP)
OSTI Identifier:
1560671
Alternate Identifier(s):
OSTI ID: 1547958
Grant/Contract Number:  
AC02-06CH11357
Resource Type:
Accepted Manuscript
Journal Name:
Physical Review D
Additional Journal Information:
Journal Volume: 100; Journal Issue: 3; 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; 73 NUCLEAR PHYSICS AND RADIATION PHYSICS

Citation Formats

Lu, Y., Chen, C., Cui, Z. -F., Roberts, C. D., Schmidt, S. M., Segovia, J., and Zong, H. -S. Transition form factors: γ*+p→Δ(1232) , Δ(1600). United States: N. p., 2019. Web. https://doi.org/10.1103/PhysRevD.100.034001.
Lu, Y., Chen, C., Cui, Z. -F., Roberts, C. D., Schmidt, S. M., Segovia, J., & Zong, H. -S. Transition form factors: γ*+p→Δ(1232) , Δ(1600). United States. https://doi.org/10.1103/PhysRevD.100.034001
Lu, Y., Chen, C., Cui, Z. -F., Roberts, C. D., Schmidt, S. M., Segovia, J., and Zong, H. -S. Mon . "Transition form factors: γ*+p→Δ(1232) , Δ(1600)". United States. https://doi.org/10.1103/PhysRevD.100.034001. https://www.osti.gov/servlets/purl/1560671.
@article{osti_1560671,
title = {Transition form factors: γ*+p→Δ(1232) , Δ(1600)},
author = {Lu, Y. and Chen, C. and Cui, Z. -F. and Roberts, C. D. and Schmidt, S. M. and Segovia, J. and Zong, H. -S.},
abstractNote = {We report that electroproduction form factors describing the γ*p→Δ+(1232), Δ+(1600) transitions are computed using a fully dynamical diquark-quark approximation to the Poincaré-covariant three-body bound-state problem in relativistic quantum field theory. In this approach, the Δ(1600) is an analogue of the Roper resonance in the nucleon sector, appearing as the simplest radial excitation of the Δ(1232). Precise measurements of the γ*p→Δ+(1232) transition already exist on 0≤Q2≲8 GeV2, and the calculated results compare favorably with the data outside the meson-cloud domain. The predictions for the γ*p→Δ+(1600) magnetic dipole and electric quadrupole transition form factors are consistent with the empirical values at the real photon point, and extend to Q2≈6mp2, enabling a meaningful direct comparison with experiment once analysis of existing data is completed. In both cases, the electric quadrupole form factor is particularly sensitive to deformation of the Δ-baryons. Interestingly, while the γ*p→Δ+(1232) transition form factors are larger in magnitude than those for γ*p→Δ+(1600) in some neighborhood of the real photon point, this ordering is reversed on Q2≳2mp2, suggesting that the γ*p→Δ+(1600) transition is more localized in configuration space.},
doi = {10.1103/PhysRevD.100.034001},
journal = {Physical Review D},
number = 3,
volume = 100,
place = {United States},
year = {2019},
month = {8}
}

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Cited by: 4 works
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Figures / Tables:

FIG. 1 FIG. 1: Faddeev equation: a linear integral equation for the matrix-valued function Ψ, being the Faddeev amplitude for a baryon of total momentum P = pq + pd, which expresses the relative momentum correlation between the dressed-quarks and -nonpointlike-diquarks within the baryon. The shaded rectangle demarcates the kernel of themore » Faddeev equation: single line, dressed-quark propagator; Γ, diquark correlation amplitude; and double line, diquark propagator.« less

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Works referenced in this record:

Natural constraints on the gluon-quark vertex
journal, February 2017


Systematic study of longitudinal and transverse helicity amplitudes in the hypercentral constituent quark model
journal, December 2012


Nucleon to delta electromagnetic transition in the Dyson-Schwinger approach
journal, May 2012


Nucleon Mass from a Covariant Three-Quark Faddeev Equation
journal, May 2010


Multipole γN-Δ form factors and resonant photo- and electroproduction
journal, November 1973


Evidence for a P 11 Pion-Nucleon Resonance at 556 MeV
journal, March 1964


Process-Independent Effective Coupling: From QCD Green’s Functions to Phenomenology
journal, July 2018

  • Rodríguez-Quintero, Jose; Binosi, Daniele; Mezrag, Cédric
  • Few-Body Systems, Vol. 59, Issue 6
  • DOI: 10.1007/s00601-018-1437-0

Quark-model identification of baryon ground and resonant states
journal, June 2008


Three Lectures on Hadron Physics
journal, April 2016


Nucleon spin structure at very high x
journal, November 2013


Diquarks
journal, October 1993


Review of Particle Physics
journal, August 2018


Evidence for an N * Resonance at 1425 MeV
journal, November 1964


Investigation of the Conjectured Nucleon Deformation at Low Momentum Transfer
journal, January 2005


Parton distribution amplitudes: Revealing correlations within the proton and Roper
journal, August 2018


Electromagnetic N - Δ transition at high Q 2
journal, November 1986


Baryons as relativistic three-quark bound states
journal, November 2016

  • Eichmann, Gernot; Sanchis-Alepuz, Hèlios; Williams, Richard
  • Progress in Particle and Nuclear Physics, Vol. 91
  • DOI: 10.1016/j.ppnp.2016.07.001

Electromagnetic Multipole Moments of Baryons
journal, November 2018


Hadronisation of QCD
journal, January 1989

  • Cahill, Rt
  • Australian Journal of Physics, Vol. 42, Issue 2
  • DOI: 10.1071/PH890171

Spectrum of Light- and Heavy-Baryons
journal, April 2019


Measurements of e p e π + n at 1.6 < W < 2.0  GeV and extraction of nucleon resonance electrocouplings at CLAS
journal, April 2015


π - and K -meson Bethe-Salpeter amplitudes
journal, December 1997


Δ N γ * Coulomb quadrupole amplitude in PQCD
journal, January 2004


Excited state baryon spectroscopy from lattice QCD
journal, October 2011


Pseudovector components of the pion, π 0 γ γ , and F π ( q 2 )
journal, December 1998


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


Pion-nucleon interactions between Tlab = 300 and Tlab = 700 MeV
journal, January 1964


Measurement of the Recoil Polarization in the p ( e , e p ) π 0 Reaction at the Δ ( 1232 ) Resonance
journal, April 2001


Bethe-Salpeter study of vector meson masses and decay constants
journal, October 1999


Dissecting nucleon transition electromagnetic form factors
journal, October 2016


Disentangling the Dynamical Origin of P 11 Nucleon Resonances
journal, January 2010


Photoproduction amplitudes of P 11 and P 33 baryon resonances in the quark model
journal, September 1992


Nucleon electromagnetic form factors from the covariant Faddeev equation
journal, July 2011


Nucleon and $${\Delta}$$ Δ Elastic and Transition Form Factors
journal, October 2014


Dynamical study of the Δ excitation in N ( e , e π ) reactions
journal, March 2001


Poincaré-covariant analysis of heavy-quark baryons
journal, June 2018


Quark models of baryon masses and decays
journal, January 2000


Process-independent strong running coupling
journal, September 2017


The pion: an enigma within the Standard Model
journal, May 2016


Insights into the γ * N Δ transition
journal, September 2013


Bridging a gap between continuum-QCD and ab initio predictions of hadron observables
journal, March 2015


Parity partners in the baryon resonance spectrum
journal, July 2017


Meson exchange contributions to the nucleon mass in the Faddeev approach to the NJL model
journal, July 1998


Structure of the nucleon’s low-lying excitations
journal, February 2018


Baryon Structure and QCD
journal, January 1989

  • Cahill, Rt; Roberts, Cd; Praschifka, J.
  • Australian Journal of Physics, Vol. 42, Issue 2
  • DOI: 10.1071/PH890129

Completing the Picture of the Roper Resonance
journal, October 2015


Electroexcitation of the Δ ( 1232 ) 3 2 + and Δ ( 1600 ) 3 2 + in a light-front relativistic quark model
journal, September 2015


Light baryons and their excitations
journal, November 2016

  • Eichmann, Gernot; Fischer, Christian S.; Sanchis-Alepuz, Hèlios
  • Physical Review D, Vol. 94, Issue 9
  • DOI: 10.1103/PhysRevD.94.094033

Nucleon-to-Roper electromagnetic transition form factors at large Q 2
journal, February 2019


Calculation of diquark masses in QCD
journal, November 1987


Measurements of the γ * p Δ reaction at low Q 2 : Probing the mesonic contribution
journal, August 2008


Genuine quark state versus dynamically generated structure for the Roper resonance
journal, March 2018


Experimental study of the P 11 ( 1440 ) and D 13 ( 1520 ) resonances from the CLAS data on e p e π + π p
journal, September 2012


Dynamical coupled-channels effects on pion photoproduction
journal, April 2008


Progress in the Calculation of Nucleon Transition form Factors
journal, June 2016


Results from the N * Program at Jefferson Lab
journal, May 2011


Electromagnetic transition form factors of baryons in the space-like momentum region
journal, March 2018

  • Sanchis-Alepuz, Hèlios; Alkofer, Reinhard; Fischer, Christian S.
  • The European Physical Journal A, Vol. 54, Issue 3
  • DOI: 10.1140/epja/i2018-12465-x

Electroexcitation of nucleon resonances from CLAS data on single pion electroproduction
journal, November 2009


Total Cross Sections of Positive Pions in Hydrogen
journal, March 1952


Elastic and Transition Form Factors of the Δ(1232)
journal, December 2013


Ordinary and Exchange Scattering of Negative Pions by Hydrogen
journal, March 1952


Progress towards understanding baryon resonances
journal, June 2013


Quark-diquark approximation of the three-quark structure of baryons in the quark confinement model
journal, December 1990

  • Efimov, G. V.; Ivanov, M. A.; Lyubovitskij, V. E.
  • Zeitschrift f�r Physik C Particles and Fields, Vol. 47, Issue 4
  • DOI: 10.1007/BF01552323

Developments of the Jülich–Bonn Dynamical Coupled-Channel Analysis
journal, October 2018


Pion-nucleon phase shifts and resonances
journal, September 1964


Understanding the nucleon as a Borromean bound-state
journal, November 2015


Energy-Dependent Pion-Nucleon Phase-Shift Analysis
journal, April 1965

  • Roper, L. David; Wright, Robert M.; Feld, Bernard T.
  • Physical Review, Vol. 138, Issue 1B
  • DOI: 10.1103/PhysRev.138.B190

Effective Masses of Diquarks
journal, June 2002


Baryon Structure and QCD: Nucleon Calculations
journal, January 1989

  • Burden, Cj; Cahill, Rt; Praschifka, J.
  • Australian Journal of Physics, Vol. 42, Issue 2
  • DOI: 10.1071/PH890147

Hadronization of quark flavor dynamics
journal, July 1990


Perspective on rainbow-ladder truncation
journal, April 2008


π + photoproduction on the proton for photon energies from 0.725 to 2.875 GeV
journal, June 2009


Baryon current matrix elements in a light-front framework
journal, April 1995


Colloquium : Roper resonance: Toward a solution to the fifty year puzzle
journal, March 2019


N $$^*$$ ∗ Experiments and Their Impact on Strong QCD Physics
journal, April 2018


Electroexcitation of nucleon resonances
journal, January 2012


Electroproduction of the N * ( 1535 ) Resonance at Large Momentum Transfer
journal, August 2009


Baryon spectrum from superconformal quantum mechanics and its light-front holographic embedding
journal, February 2015

  • de Téramond, Guy F.; Dosch, Hans Günter; Brodsky, Stanley J.
  • Physical Review D, Vol. 91, Issue 4
  • DOI: 10.1103/PhysRevD.91.045040

Studies of Nucleon Resonance Structure in Exclusive Meson Electroproduction
journal, June 2013

  • Aznauryan, I. G.; Bashir, A.; Braun, V. M.
  • International Journal of Modern Physics E, Vol. 22, Issue 06
  • DOI: 10.1142/S0218301313300154

More About the Light Baryon Spectrum
journal, February 2017


Colloquium : The Shape of Hadrons
journal, September 2012

  • Alexandrou, Constantia; Papanicolas, Costas N.; Vanderhaeghen, Marc
  • Reviews of Modern Physics, Vol. 84, Issue 3
  • DOI: 10.1103/RevModPhys.84.1231

Electromagnetic Properties of Diquarks
journal, November 2004


Flavor Decomposition of the Elastic Nucleon Electromagnetic Form Factors
journal, June 2011


Toward unifying the description of meson and baryon properties
journal, January 2009


$$N^*$$ N ∗ Structure and Strong QCD
journal, May 2018


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


Hadron Physics and QCD: Just the Basic Facts.
journal, July 2015


Nucleon mass and pion loops
journal, May 2002


Mesoscopic and macroscopic dipole clusters: Structure and phase transitions
journal, January 2000


    Works referencing / citing this record:

    Dynamical generation of resonances in the P 33 partial wave
    journal, September 2019