Nucleon form factors in dispersively improved chiral effective field theory: Scalar form factor

Alarcon Soriano, Jose Manuel; Weiss, Christian

doi:10.1103/PhysRevC.96.055206

Title: Nucleon form factors in dispersively improved chiral effective field theory: Scalar form factor

Journal Article · Mon Nov 20 00:00:00 EST 2017 · Physical Review C

DOI:https://doi.org/10.1103/PhysRevC.96.055206· OSTI ID:1410288

Alarcon Soriano, Jose Manuel ^[1]; Weiss, Christian ^[1]

Thomas Jefferson National Accelerator Facility (TJNAF), Newport News, VA (United States)

We propose a method for calculating the nucleon form factors (FFs) of $$G$$-parity-even operators by combining Chiral Effective Field Theory ($$\chi$$EFT) and dispersion analysis. The FFs are expressed as dispersive integrals over the two-pion cut at $$t > 4 M_\pi^2$$. The spectral functions are obtained from the elastic unitarity condition and expressed as products of the complex $$\pi\pi \rightarrow N\bar N$$ partial-wave amplitudes and the timelike pion FF. $$\chi$$EFT is used to calculate the ratio of the partial-wave amplitudes and the pion FF, which is real and free of $$\pi\pi$$ rescattering in the $$t$$-channel ($N/D$ method). The rescattering effects are then incorporated by multiplying with the squared modulus of the empirical pion FF. The procedure results in a marked improvement compared to conventional $$\chi$$EFT calculations of the spectral functions. We apply the method to the nucleon scalar FF and compute the scalar spectral function, the scalar radius, the $$t$$-dependent FF, and the Cheng-Dashen discrepancy. Higher-order chiral corrections are estimated through the $$\pi N$$ low-energy constants. Results are in excellent agreement with dispersion-theoretical calculations. We elaborate several other interesting aspects of our method. The results show proper scaling behavior in the large-$$N_c$$ limit of QCD because the $$\chi$$EFT includes $$N$$ and $$\Delta$$ intermediate states. The squared modulus of the timelike pion FF required by our method can be extracted from Lattice QCD calculations of vacuum correlation functions of the operator at large Euclidean distances. Our method can be applied to the nucleon FFs of other operators of interest, such as the isovector-vector current, the energy-momentum tensor, and twist-2 QCD operators (moments of generalized parton distributions).

View Accepted Manuscript (DOE)

View Accepted Manuscript (Publisher)

Cite

Export

Save

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

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

Grant/Contract Number:: AC05-06OR23177; FPA2016-77313-P

OSTI ID:: 1410288

Alternate ID(s):: OSTI ID: 1409461

Report Number(s):: JLAB-THY-17-2525; DOE/OR/-23177-4275; arXiv:1707.07682; PRVCAN

Journal Information:: Physical Review C, Vol. 96, Issue 5; ISSN 2469-9985

Publisher:: American Physical Society (APS)Copyright Statement

Country of Publication:: United States

Language:: English

Citation Metrics:

Cited by: 19 works

Citation information provided by
Web of Science

References (94)

Baryon chiral perturbation theory in manifestly Lorentz invariant form Becher, T.; Leutwyler, H. The European Physical Journal C, Vol. 9, Issue 4 https://doi.org/10.1007/PL00021673	journal	July 1999
LARGE- N _c BARYONS Jenkins, Elizabeth Annual Review of Nuclear and Particle Science, Vol. 48, Issue 1 https://doi.org/10.1146/annurev.nucl.48.1.81	journal	December 1998
Nucleon electroweak form factors: Analysis of their spectral functions Bernard, V.; Kaiser, N.; Meißner, Ulf-G. Nuclear Physics A, Vol. 611, Issue 4 https://doi.org/10.1016/S0375-9474(96)00291-6	journal	December 1996
Spin-flavor structure of large $N_{c}$ baryons Dashen, Roger F.; Jenkins, Elizabeth; Manohar, Aneesh V. Physical Review D, Vol. 51, Issue 7 https://doi.org/10.1103/PhysRevD.51.3697	journal	April 1995
Partial-Wave Dispersion Relations for the Process $π + π \to N + \bar{N}$ Frazer, William R.; Fulco, Jose R. Physical Review, Vol. 117, Issue 6 https://doi.org/10.1103/PhysRev.117.1603	journal	March 1960
Erratum: $\frac{1}{N_{c}}$ expansion for baryons Dashen, Roger; Jenkins, Elizabeth; Manohar, Aneesh V. Physical Review D, Vol. 51, Issue 5 https://doi.org/10.1103/PhysRevD.51.2489	journal	March 1995
Form factor of the σ-term Gasser, J.; Leutwyler, H.; Sainio, M. E. Physics Letters B, Vol. 253, Issue 1-2 https://doi.org/10.1016/0370-2693(91)91394-B	journal	January 1991
Field theory of nucleon to higher-spin baryon transitions Pascalutsa, Vladimir; Timmermans, Rob Physical Review C, Vol. 60, Issue 4 https://doi.org/10.1103/PhysRevC.60.042201	journal	September 1999
Chiral effective theory of dark matter direct detection Bishara, Fady; Brod, Joachim; Grinstein, Benjamin Journal of Cosmology and Astroparticle Physics, Vol. 2017, Issue 02 https://doi.org/10.1088/1475-7516/2017/02/009	journal	February 2017
Systematic expansion for spin particles in baryon chiral perturbation theory Hemmert, Thomas R.; Holstein, Barry R.; Kambor, Joachim Physics Letters B, Vol. 395, Issue 1-2 https://doi.org/10.1016/S0370-2693(97)00049-X	journal	March 1997
Progress in three-particle scattering from LQCD Briceño, Raúl A.; Hansen, Maxwell T.; Sharpe, Stephen R. EPJ Web of Conferences, Vol. 137 https://doi.org/10.1051/epjconf/201713705004	journal	January 2017
Effect of a Pion-Pion Scattering Resonance on Nucleon Structure. II Frazer, William R.; Fulco, Jose R. Physical Review, Vol. 117, Issue 6 https://doi.org/10.1103/PhysRev.117.1609	journal	March 1960
The ϱNN vertex in vector-dominance models Höhler, G.; Pietarinen, E. Nuclear Physics B, Vol. 95, Issue 2 https://doi.org/10.1016/0550-3213(75)90042-5	journal	September 1975
Chiral dynamics and partonic structure at large transverse distances Strikman, M.; Weiss, C. Physical Review D, Vol. 80, Issue 11 https://doi.org/10.1103/PhysRevD.80.114029	journal	December 2009
Octet-baryon axial-vector charges and $S U (3)$ -breaking effects in the semileptonic hyperon decays Ledwig, T.; Camalich, J. Martin; Geng, L. S. Physical Review D, Vol. 90, Issue 5 https://doi.org/10.1103/PhysRevD.90.054502	journal	September 2014
Chiral perturbation theory: Expansions in the mass of the strange quark Gasser, J.; Leutwyler, H. Nuclear Physics B, Vol. 250, Issue 1-4 https://doi.org/10.1016/0550-3213(85)90492-4	journal	January 1985
Static properties of nucleons in the Skyrme model Adkins, Gregory S.; Nappi, Chiara R.; Witten, Edward Nuclear Physics B, Vol. 228, Issue 3 https://doi.org/10.1016/0550-3213(83)90559-X	journal	December 1983
Theory of the Low-Energy Pion-Pion Interaction Chew, Geoffrey F.; Mandelstam, Stanley Physical Review, Vol. 119, Issue 1 https://doi.org/10.1103/PhysRev.119.467	journal	July 1960
Nucleon electromagnetic form factors Perdrisat, C. F.; Punjabi, V.; Vanderhaeghen, M. Progress in Particle and Nuclear Physics, Vol. 59, Issue 2 https://doi.org/10.1016/j.ppnp.2007.05.001	journal	October 2007
Chiral and large- $N_{c}$ limits of quantum chromodynamics and models of the baryon Cohen, Thomas D. Reviews of Modern Physics, Vol. 68, Issue 2 https://doi.org/10.1103/RevModPhys.68.599	journal	April 1996
Scalar form factors of light mesons Ananthanarayan, B.; Caprini, I.; Colangelo, G. Physics Letters B, Vol. 602, Issue 3-4 https://doi.org/10.1016/j.physletb.2004.10.005	journal	November 2004
Is $SU (2) \otimes SU (2)$ a Better Symmetry than SU(3)? Cheng, T. P.; Dashen, Roger Physical Review Letters, Vol. 26, Issue 10 https://doi.org/10.1103/PhysRevLett.26.594	journal	March 1971
Analysis strategies for general spin-independent WIMP-nucleus scattering Hoferichter, Martin; Klos, Philipp; Menéndez, Javier Physical Review D, Vol. 94, Issue 6 https://doi.org/10.1103/PhysRevD.94.063505	journal	September 2016
Gauge-Invariant Decomposition of Nucleon Spin Ji, Xiangdong Physical Review Letters, Vol. 78, Issue 4 https://doi.org/10.1103/PhysRevLett.78.610	journal	January 1997
Scalar radius of the pion and zeros in the form factor Oller, José A.; Roca, Luis Physics Letters B, Vol. 651, Issue 2-3 https://doi.org/10.1016/j.physletb.2007.06.023	journal	July 2007
Nucleons with chiral loops Gasser, J.; Sainio, M. E.; Švarc, A. Nuclear Physics B, Vol. 307, Issue 4 https://doi.org/10.1016/0550-3213(88)90108-3	journal	October 1988
High-Precision Determination of the Pion-Nucleon $σ$ Term from Roy-Steiner Equations Hoferichter, Martin; Ruiz de Elvira, Jacobo; Kubis, Bastian Physical Review Letters, Vol. 115, Issue 9 https://doi.org/10.1103/PhysRevLett.115.092301	journal	August 2015
Novel evaluation of the two-pion contribution to the nucleon isovector form factors Belushkin, M. A.; Hammer, H. -W.; Meißner, Ulf-G. Physics Letters B, Vol. 633, Issue 4-5 https://doi.org/10.1016/j.physletb.2005.12.053	journal	February 2006
Transverse Charge Densities Miller, Gerald A. Annual Review of Nuclear and Particle Science, Vol. 60, Issue 1 https://doi.org/10.1146/annurev.nucl.012809.104508	journal	November 2010
Chiral Dynamics in Nucleons and Nuclei Bernard, V.; Kaiser, N.; MeißNer, Ulf-G. International Journal of Modern Physics E, Vol. 04, Issue 02 https://doi.org/10.1142/S0218301395000092	journal	June 1995
The g1 problem: Deep inelastic electron scattering and the spin of the proton Jaffe, R. L.; Manohar, Aneesh Nuclear Physics B, Vol. 337, Issue 3 https://doi.org/10.1016/0550-3213(90)90506-9	journal	June 1990
Chiral-Symmetry Breakdown in Large- $N$ Chromodynamics Coleman, Sidney; Witten, Edward Physical Review Letters, Vol. 45, Issue 2 https://doi.org/10.1103/PhysRevLett.45.100	journal	July 1980
Chiral perturbation theory to one loop Gasser, J.; Leutwyler, H. Annals of Physics, Vol. 158, Issue 1 https://doi.org/10.1016/0003-4916(84)90242-2	journal	November 1984
Hyperon forward spin polarizability $γ_{0}$ in baryon chiral perturbation theory Blin, Astrid Hiller; Gutsche, Thomas; Ledwig, Tim Physical Review D, Vol. 92, Issue 9 https://doi.org/10.1103/PhysRevD.92.096004	journal	November 2015
Lattice QCD and the Timelike Pion Form Factor Meyer, Harvey B. Physical Review Letters, Vol. 107, Issue 7 https://doi.org/10.1103/PhysRevLett.107.072002	journal	August 2011
Baryons in the expansion Witten, Edward Nuclear Physics B, Vol. 160, Issue 1 https://doi.org/10.1016/0550-3213(79)90232-3	journal	November 1979
Quantization of an interacting spin- $\frac{3}{2}$ field and the $Δ$ isobar Pascalutsa, V. Physical Review D, Vol. 58, Issue 9 https://doi.org/10.1103/PhysRevD.58.096002	journal	September 1998
On-shell consistency of the Rarita-Schwinger field formulation Krebs, H.; Epelbaum, E.; Meißner, Ulf-G. Physical Review C, Vol. 80, Issue 2 https://doi.org/10.1103/PhysRevC.80.028201	journal	August 2009
Dispersive analysis of the scalar form factor of the nucleon Hoferichter, M.; Ditsche, C.; Kubis, B. Journal of High Energy Physics, Vol. 2012, Issue 6 https://doi.org/10.1007/JHEP06(2012)063	journal	June 2012
Some General Relations between the Photoproduction and Scattering of $π$ Mesons Watson, Kenneth M. Physical Review, Vol. 95, Issue 1 https://doi.org/10.1103/PhysRev.95.228	journal	July 1954
Lepton flavor violation in the Higgs sector and the role of hadronic $τ$ -lepton decays Celis, Alejandro; Cirigliano, Vincenzo; Passemar, Emilie Physical Review D, Vol. 89, Issue 1 https://doi.org/10.1103/PhysRevD.89.013008	journal	January 2014
Renormalization of relativistic baryon chiral perturbation theory and power counting Fuchs, T.; Gegelia, J.; Japaridze, G. Physical Review D, Vol. 68, Issue 5 https://doi.org/10.1103/PhysRevD.68.056005	journal	September 2003
Peripheral transverse densities of the baryon octet from chiral effective field theory and dispersion analysis Alarcón, J. M.; Hiller Blin, A. N.; Vicente Vacas, M. J. Nuclear Physics A, Vol. 964 https://doi.org/10.1016/j.nuclphysa.2017.05.002	journal	August 2017
Nucleon and $Δ (1232)$ form factors at low momentum transfer and small pion masses Ledwig, T.; Martin-Camalich, J.; Pascalutsa, V. Physical Review D, Vol. 85, Issue 3 https://doi.org/10.1103/PhysRevD.85.034013	journal	February 2012
Naive quark model for an arbitrary number of colors Karl, G.; Paton, J. Physical Review D, Vol. 30, Issue 1 https://doi.org/10.1103/PhysRevD.30.238	journal	July 1984
Hadron properties from QCD sum rules Reinders, L. Physics Reports, Vol. 127, Issue 1 https://doi.org/10.1016/0370-1573(85)90065-1	journal	October 1985
Light-front representation of chiral dynamics in peripheral transverse densities Granados, C.; Weiss, C. Journal of High Energy Physics, Vol. 2015, Issue 7 https://doi.org/10.1007/JHEP07(2015)170	journal	July 2015
Improved description of the -scattering phenomenology at low energies in covariant baryon chiral perturbation theory Alarcón, J. M.; Martin Camalich, J.; Oller, J. A. Annals of Physics, Vol. 336 https://doi.org/10.1016/j.aop.2013.06.001	journal	September 2013
Chiral unitary approach to meson-meson and meson-baryon interactions and nuclear applications Oller, J. A.; Oset, E.; Ramos, A. Progress in Particle and Nuclear Physics, Vol. 45, Issue 1 https://doi.org/10.1016/S0146-6410(00)00104-6	journal	January 2000
Correspondence of consistent and inconsistent spin-3/2 couplings via the equivalence theorem Pascalutsa, V. Physics Letters B, Vol. 503, Issue 1-2 https://doi.org/10.1016/S0370-2693(01)00140-X	journal	March 2001
QCD and resonance physics. theoretical foundations Shifman, M. A.; Vainshtein, A. I.; Zakharov, V. I. Nuclear Physics B, Vol. 147, Issue 5 https://doi.org/10.1016/0550-3213(79)90022-1	journal	February 1979
Remarks on Higgs-boson interactions with nucleons Shifman, M. A.; Vainshtein, A. I.; Zakharov, V. I. Physics Letters B, Vol. 78, Issue 4 https://doi.org/10.1016/0370-2693(78)90481-1	journal	October 1978
The role of resonances in chiral perturbation theory Ecker, G.; Gasser, J.; Pich, A. Nuclear Physics B, Vol. 321, Issue 2 https://doi.org/10.1016/0550-3213(89)90346-5	journal	July 1989
Low-energy analysis of the nucleon electromagnetic form factors Kubis, Bastian; Meißner, Ulf-G. Nuclear Physics A, Vol. 679, Issue 3-4 https://doi.org/10.1016/S0375-9474(00)00378-X	journal	January 2001
$Δ (1232)$ resonance in the $\vec{γ} p \to p π^{0}$ reaction at threshold Hiller Blin, A. N.; Ledwig, T.; Vicente Vacas, M. J. Physical Review D, Vol. 93, Issue 9 https://doi.org/10.1103/PhysRevD.93.094018	journal	May 2016
Nucleon-nucleon interactions from dispersion relations: Coupled partial waves Albaladejo, M.; Oller, J. A. Physical Review C, Vol. 86, Issue 3 https://doi.org/10.1103/PhysRevC.86.034005	journal	September 2012
Chiral perturbation theory of muonic-hydrogen Lamb shift: polarizability contribution Alarcón, Jose Manuel; Lensky, Vadim; Pascalutsa, Vladimir The European Physical Journal C, Vol. 74, Issue 4 https://doi.org/10.1140/epjc/s10052-014-2852-0	journal	April 2014
Erratum: $π N$ scattering in relativistic baryon chiral perturbation theory reexamined [Phys. Rev. C 83 , 055205 (2011)] Alarcón, J. M.; Camalich, J. Martín; Oller, J. A. Physical Review C, Vol. 87, Issue 5 https://doi.org/10.1103/PhysRevC.87.059901	journal	May 2013
Nucleon-nucleon interactions from dispersion relations: Elastic partial waves Albaladejo, M.; Oller, J. A. Physical Review C, Vol. 84, Issue 5 https://doi.org/10.1103/PhysRevC.84.054009	journal	November 2011
Sigma-term update Gasser, J.; Leutwyler, H.; Sainio, M. E. Physics Letters B, Vol. 253, Issue 1-2 https://doi.org/10.1016/0370-2693(91)91393-A	journal	January 1991
Aspects of chiral pion-nucleon physics Bernard, V.; Kaiser, N.; Meißner, Ulf-G. Nuclear Physics A, Vol. 615, Issue 4 https://doi.org/10.1016/S0375-9474(97)00021-3	journal	April 1997
Spectral functions of isoscalar-scalar and isovector-electromagnetic form factors of the nucleon at two-loop order Kaiser, N. Physical Review C, Vol. 68, Issue 2 https://doi.org/10.1103/PhysRevC.68.025202	journal	August 2003
Hard exclusive reactions and the structure of hadrons Goeke, K.; Polyakov, M. V.; Vanderhaeghen, M. Progress in Particle and Nuclear Physics, Vol. 47, Issue 2 https://doi.org/10.1016/S0146-6410(01)00158-2	journal	January 2001
Chiral dynamics and peripheral transverse densities Granados, C.; Weiss, C. Journal of High Energy Physics, Vol. 2014, Issue 1 https://doi.org/10.1007/JHEP01(2014)092	journal	January 2014
Generalized parton distributions and strong forces inside nucleons and nuclei Polyakov, M. V. Physics Letters B, Vol. 555, Issue 1-2 https://doi.org/10.1016/S0370-2693(03)00036-4	journal	February 2003
Generalized parton distributions Diehl, M. Physics Reports, Vol. 388, Issue 2-4 https://doi.org/10.1016/j.physrep.2003.08.002	journal	December 2003
Heavy baryon chiral perturbation theory with light deltas Hemmert, Thomas R.; Holstein, Barry R.; Kambor, Joachim Journal of Physics G: Nuclear and Particle Physics, Vol. 24, Issue 10 https://doi.org/10.1088/0954-3899/24/10/003	journal	October 1998
$N / D$ description of two meson amplitudes and chiral symmetry Oller, J. A.; Oset, E. Physical Review D, Vol. 60, Issue 7 https://doi.org/10.1103/PhysRevD.60.074023	journal	September 1999
Chiral dynamics and the growth of the nucleon’s gluonic transverse size at small x Strikman, M.; Weiss, C. Physical Review D, Vol. 69, Issue 5 https://doi.org/10.1103/PhysRevD.69.054012	journal	March 2004
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
The strangeness content of the nucleon from effective field theory and phenomenology Alarcón, J. M.; Geng, L. S.; Martin Camalich, J. Physics Letters B, Vol. 730 https://doi.org/10.1016/j.physletb.2014.01.065	journal	March 2014
Light-front representation of chiral dynamics with Δ isobar and large-N c relations Granados, C.; Weiss, C. Journal of High Energy Physics, Vol. 2016, Issue 6 https://doi.org/10.1007/JHEP06(2016)075	journal	June 2016
$\frac{1}{N_{c}}$ expansion for baryons Dashen, Roger; Jenkins, Elizabeth; Manohar, Aneesh V. Physical Review D, Vol. 49, Issue 9 https://doi.org/10.1103/PhysRevD.49.4713	journal	May 1994
Predictive powers of chiral perturbation theory in Compton scattering off protons Lensky, Vadim; Pascalutsa, Vladimir The European Physical Journal C, Vol. 65, Issue 1-2 https://doi.org/10.1140/epjc/s10052-009-1183-z	journal	November 2009
Chiral unitary mesonâ€“baryon dynamics in the presence of resonances: elastic pionâ€“nucleon scattering MeiÃner, U. Nuclear Physics A, Vol. 673, Issue 1-4 https://doi.org/10.1016/S0375-9474(00)00150-0	journal	June 2000
On the $\pi\pi$ π π continuum in the nucleon form factors and the proton radius puzzle Hoferichter, M.; Kubis, B.; Ruiz de Elvira, J. The European Physical Journal A, Vol. 52, Issue 11 https://doi.org/10.1140/epja/i2016-16331-7	journal	November 2016
Low energy analysis of π N →π N Becher, Thomas; Leutwyler, Heinrich Journal of High Energy Physics, Vol. 2001, Issue 06 https://doi.org/10.1088/1126-6708/2001/06/017	journal	May 2001
A planar diagram theory for strong interactions Hooft, G. 't Nuclear Physics B, Vol. 72, Issue 3 https://doi.org/10.1016/0550-3213(74)90154-0	journal	April 1974
Leading SU(3)-Breaking Corrections to the Baryon Magnetic Moments in Chiral Perturbation Theory Geng, L. S.; Camalich, J. Martin; Alvarez-Ruso, L. Physical Review Letters, Vol. 101, Issue 22 https://doi.org/10.1103/PhysRevLett.101.222002	journal	November 2008
Impact Parameter Space Interpretation for Generalized Parton Distributions Burkardt, Matthias International Journal of Modern Physics A, Vol. 18, Issue 02 https://doi.org/10.1142/S0217751X03012370	journal	January 2003
The electromagnetic Sigma-to-Lambda hyperon transition form factors at low energies Granados, Carlos; Leupold, Stefan; Perotti, Elisabetta The European Physical Journal A, Vol. 53, Issue 6 https://doi.org/10.1140/epja/i2017-12324-4	journal	June 2017
Reconciling threshold and subthreshold expansions for pion–nucleon scattering Siemens, D.; Ruiz de Elvira, J.; Epelbaum, E. Physics Letters B, Vol. 770 https://doi.org/10.1016/j.physletb.2017.04.039	journal	July 2017
Three-body unitarity with isobars revisited Mai, M.; Hu, B.; Döring, M. The European Physical Journal A, Vol. 53, Issue 9 https://doi.org/10.1140/epja/i2017-12368-4	journal	September 2017
Chiral representation of the $π N$ scattering amplitude and the pion-nucleon sigma term Alarcón, J. M.; Camalich, J. Martin; Oller, J. A. Physical Review D, Vol. 85, Issue 5 https://doi.org/10.1103/PhysRevD.85.051503	journal	March 2012
Moments of nucleon structure functions at next-to-leading order in baryon chiral perturbation theory Lensky, Vadim; Alarcón, Jose Manuel; Pascalutsa, Vladimir Physical Review C, Vol. 90, Issue 5 https://doi.org/10.1103/PhysRevC.90.055202	journal	November 2014
$π N$ scattering in relativistic baryon chiral perturbation theory reexamined Alarcón, J. M.; Camalich, J. Martín; Oller, J. A. Physical Review C, Vol. 83, Issue 5 https://doi.org/10.1103/PhysRevC.83.055205	journal	May 2011
Axial structure of the nucleon Bernard, Véronique; Elouadrhiri, Latifa; Meißner, Ulf-G Journal of Physics G: Nuclear and Particle Physics, Vol. 28, Issue 1 https://doi.org/10.1088/0954-3899/28/1/201	journal	November 2001
Chiral dynamics in the $\vec{γ} p \to p π^{0}$ reaction Hiller Blin, A. N.; Ledwig, T.; Vicente Vacas, M. J. Physics Letters B, Vol. 747 https://doi.org/10.1016/j.physletb.2015.05.067	journal	July 2015
The role of the Δ isobar in chiral perturbation theory and hedgehog soliton models Cohen, Thomas D.; Broniowski, Wojciech Physics Letters B, Vol. 292, Issue 1-2 https://doi.org/10.1016/0370-2693(92)90599-Y	journal	October 1992
The skyrmion-skyrmion interaction Jackson, A.; Jackson, A. D.; Pasquier, V. Nuclear Physics A, Vol. 432, Issue 3 https://doi.org/10.1016/0375-9474(85)90002-8	journal	January 1985
QCD and resonance physics. applications Shifman, M. A.; Vainshtein, A. I.; Zakharov, V. I. Nuclear Physics B, Vol. 147, Issue 5 https://doi.org/10.1016/0550-3213(79)90023-3	journal	February 1979
Dispersive evaluation of the D-term form factor in deeply virtual Compton scattering Pasquini, B.; Polyakov, M. V.; Vanderhaeghen, M. Physics Letters B, Vol. 739 https://doi.org/10.1016/j.physletb.2014.10.047	journal	December 2014
Unraveling hadron structure with generalized parton distributions Belitsky, A. V.; Radyushkin, A. V. Physics Reports, Vol. 418, Issue 1-6 https://doi.org/10.1016/j.physrep.2005.06.002	journal	October 2005
The Skyrme model Zahed, I.; Brown, G. E. Physics Reports, Vol. 142, Issue 1-2 https://doi.org/10.1016/0370-1573(86)90142-0	journal	September 1986

Cited By (4)

CP violation in η muonic decays Sanchez-Puertas, Pablo Journal of High Energy Physics, Vol. 2019, Issue 1 https://doi.org/10.1007/jhep01(2019)031	journal	January 2019
Electromagnetic form factors of the transition from the spin-3/2 $Σ$ to the $Λ$ hyperon Junker, Olov; Leupold, Stefan; Perotti, Elisabetta Physical Review C, Vol. 101, Issue 1 https://doi.org/10.1103/physrevc.101.015206	journal	January 2020
Nucleon form factors in dispersively improved Chiral Effective Field Theory II: Electromagnetic form factors Alarcón, J. M.; Weiss, C. arXiv https://doi.org/10.48550/arxiv.1710.06430	text	January 2017
Proton charge radius extraction from electron scattering data using dispersively improved chiral effective field theory Alarcón, J. M.; Higinbotham, D. W.; Weiss, C. arXiv https://doi.org/10.48550/arxiv.1809.06373	text	January 2018

Similar Records

Nucleon form factors in dispersively improved chiral effective field theory. II. Electromagnetic form factors

Journal Article · Tue May 08 00:00:00 EDT 2018 · Physical Review. C · OSTI ID:1410288

Alarcón, J. M.; Weiss, C.

Accurate nucleon electromagnetic form factors from dispersively improved chiral effective field theory

Journal Article · Sat Sep 01 00:00:00 EDT 2018 · Physics Letters B · OSTI ID:1410288

Alarcón, J. M.; Weiss, C.

Chiral dynamics and peripheral transverse densities

Journal Article · Wed Jan 01 00:00:00 EST 2014 · Journal of High Energy Physics (Online) · OSTI ID:1410288

Granados, Carlos G.; Weiss, Christian

Related Subjects

73 NUCLEAR PHYSICS AND RADIATION PHYSICS
Form factors
dispersion relations
chiral effective field theory
scalar operators
1=Nc expansion

Title: Nucleon form factors in dispersively improved chiral effective field theory: Scalar form factor

Citation Formats

References (94)

Cited By (4)

Similar Records

Related Subjects