Toward complete pion nucleon amplitudes

Mathieu, Vincent; Danilkin, Igor V.; Fernández-Ramírez, Cesar; Pennington, Michael R.; Schott, Diane M.; Szczepaniak, Adam P.; Fox, G.

doi:10.1103/PhysRevD.92.074004

Title: Toward complete pion nucleon amplitudes

Journal Article · Mon Oct 05 00:00:00 EDT 2015 · Physical Review. D, Particles, Fields, Gravitation and Cosmology

DOI:https://doi.org/10.1103/PhysRevD.92.074004· OSTI ID:1222585

Mathieu, Vincent ^[1]; Danilkin, Igor V. ^[2]; Fernández-Ramírez, Cesar ^[2]; Pennington, Michael R. ^[2]; Schott, Diane M. ^[3]; Szczepaniak, Adam P. ^[4]; Fox, G. ^[1]

Indiana Univ., Bloomington, IN (United States)
Thomas Jefferson National Accelerator Facility (TJNAF), Newport News, VA (United States)
Thomas Jefferson National Accelerator Facility (TJNAF), Newport News, VA (United States); George Washington Univ., Washington, DC (United States)
Indiana Univ., Bloomington, IN (United States); Thomas Jefferson National Accelerator Facility (TJNAF), Newport News, VA (United States)

We compare the low-energy partial wave analyses πN scattering with a high-energy data via finite energy sum rules. We also construct a new set of amplitudes by matching the imaginary part from the low-energy analysis with the high-energy, Regge parametrization and then reconstruct the real parts using dispersion relations.

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; FG0287ER40365; PHY-1415459

OSTI ID:: 1222585

Alternate ID(s):: OSTI ID: 1222858

Report Number(s):: JLAB-THY-15-2056; DOE/OR/23177-3366; arXiv:1506.01764; PRVDAQ

Journal Information:: Physical Review. D, Particles, Fields, Gravitation and Cosmology, Vol. 92, Issue 7; ISSN 1550-7998

Publisher:: American Physical Society (APS)Copyright Statement

Country of Publication:: United States

Language:: English

Citation Metrics:

Cited by: 25 works

Citation information provided by
Web of Science

References (42)

Baryon spectroscopy Klempt, Eberhard; Richard, Jean-Marc Reviews of Modern Physics, Vol. 82, Issue 2 https://doi.org/10.1103/RevModPhys.82.1095	journal	April 2010
Energy dependence of the $ρ$ resonance in $π π$ elastic scattering from lattice QCD Dudek, Jozef J.; Edwards, Robert G.; Thomas, Christopher E. Physical Review D, Vol. 87, Issue 3 https://doi.org/10.1103/PhysRevD.87.034505	journal	February 2013
Resonances in Coupled $π K − η K$ Scattering from Quantum Chromodynamics Dudek, Jozef J.; Edwards, Robert G.; Thomas, Christopher E. Physical Review Letters, Vol. 113, Issue 18 https://doi.org/10.1103/PhysRevLett.113.182001	journal	October 2014
Properties of baryon resonances from a multichannel partial wave analysis Anisovich, A. V.; Beck, R.; Klempt, E. The European Physical Journal A, Vol. 48, Issue 2 https://doi.org/10.1140/epja/i2012-12015-8	journal	February 2012
Nucleon resonances within a dynamical coupled-channels model of $π N$ and $γ N$ reactions Kamano, H.; Nakamura, S. X.; Lee, T. -S. H. Physical Review C, Vol. 88, Issue 3 https://doi.org/10.1103/PhysRevC.88.035209	journal	September 2013
Review of Particle Physics Beringer, J.; Arguin, J. -F.; Barnett, R. M. Physical Review D, Vol. 86, Issue 1 https://doi.org/10.1103/PhysRevD.86.010001	journal	July 2012
Analysis Tools for Next-Generation Hadron Spectroscopy Experiments Battaglieri, M.; Briscoe, B. J.; Celentano, A. Acta Physica Polonica B, Vol. 46, Issue 2 https://doi.org/10.5506/APhysPolB.46.257	journal	January 2015
Veneziano theory Lovelace, C. Proceedings of the Royal Society of London. A. Mathematical and Physical Sciences, Vol. 318, Issue 1534, p. 321-353 https://doi.org/10.1098/rspa.1970.0148	journal	September 1970
Pion-nucleon partial-wave analysis with fixed- t dispersion relation constraints Arndt, Richard A.; Workman, Ron L.; Pavan, Marcello M. Physical Review C, Vol. 49, Issue 5 https://doi.org/10.1103/PhysRevC.49.2729	journal	May 1994
Updated analysis of π N elastic scattering data to 2.1 GeV: The baryon spectrum Arndt, Richard A.; Strakovsky, Igor I.; Workman, Ron L. Physical Review C, Vol. 52, Issue 4 https://doi.org/10.1103/PhysRevC.52.2120	journal	October 1995
Dispersion relation constrained partial wave analysis of $π N$ elastic and $π N \to η N$ scattering data: The baryon spectrum Arndt, R. A.; Briscoe, W. J.; Strakovsky, I. I. Physical Review C, Vol. 69, Issue 3 https://doi.org/10.1103/PhysRevC.69.035213	journal	March 2004
Prediction of Regge Parameters of $ρ$ Poles from Low-Energy $π N$ Data Dolen, R.; Horn, D.; Schmid, C. Physical Review Letters, Vol. 19, Issue 7 https://doi.org/10.1103/PhysRevLett.19.402	journal	August 1967
Parameterization dependence of $T$ -matrix poles and eigenphases from a fit to $π N$ elastic scattering data Workman, R. L.; Arndt, R. A.; Briscoe, W. J. Physical Review C, Vol. 86, Issue 3 https://doi.org/10.1103/PhysRevC.86.035202	journal	September 2012
Application of Dispersion Relations to Low-Energy Meson-Nucleon Scattering Chew, G. F.; Goldberger, M. L.; Low, F. E. Physical Review, Vol. 106, Issue 6 https://doi.org/10.1103/PhysRev.106.1337	journal	June 1957
Pion-Nucleon Scattering Amplitudes in the Range 300-700 MeV Bransden, B. H.; O'Donnell, P. J.; Moorhouse, R. G. Physical Review, Vol. 139, Issue 6B https://doi.org/10.1103/PhysRev.139.B1566	journal	September 1965
On the general theory of collisions for particles with spin Jacob, M.; Wick, G. C. Annals of Physics, Vol. 7, Issue 4 https://doi.org/10.1016/0003-4916(59)90051-X	journal	August 1959
Pion- and photo-induced transition amplitudes to ΛK, ΣK and Nη Anisovich, A. V.; Beck, R.; Klempt, E. The European Physical Journal A, Vol. 48, Issue 6 https://doi.org/10.1140/epja/i2012-12088-3	journal	June 2012
Coupled-channel dynamics in the reactions πN → πN, ηN, KΛ, KΣ Rönchen, D.; Döring, M.; Huang, F. The European Physical Journal A, Vol. 49, Issue 4 https://doi.org/10.1140/epja/i2013-13044-5	journal	April 2013
Dispersion sum rules for strong and electromagnetic interactions Fontán, C. Ferro; Queen, N. M.; Violini, G. La Rivista Del Nuovo Cimento Series 2, Vol. 2, Issue 4 https://doi.org/10.1007/BF02747095	journal	October 1972
An Introduction to Regge Theory and High Energy Physics Collins, P. D. B. https://doi.org/10.1017/CBO9780511897603	book	October 2011
Regge phenomenology Irving, A. C.; Worden, R. P. Physics Reports, Vol. 34, Issue 3 https://doi.org/10.1016/0370-1573(77)90010-2	journal	December 1977
Pion Charge-Exchange Scattering at High Energies Barnes, A. V.; Mellema, D. J.; Tollestrup, A. V. Physical Review Letters, Vol. 37, Issue 2 https://doi.org/10.1103/PhysRevLett.37.76	journal	July 1976
Small-Angle Charge Exchange of $π^{-}$ Mesons between 6 and 18 GeV/ c Stirling, A. V.; Sonderegger, P.; Kirz, J. Physical Review Letters, Vol. 14, Issue 18 https://doi.org/10.1103/PhysRevLett.14.763	journal	May 1965
Precise Tests of Triple-Regge Theory from $π^{0}$ and $η$ Inclusive Production in 100-GeV/ c $π \pm p$ Collisions Barnes, A. V.; Fox, G. C.; Kennett, R. G. Physical Review Letters, Vol. 41, Issue 19 https://doi.org/10.1103/PhysRevLett.41.1260	journal	November 1978
Inclusive π0 and η production from 100 GeV/c π±p collisions in the triple regge region Barnes, A. V.; Fox, G. C.; Kennett, R. G. Nuclear Physics B, Vol. 145, Issue 1 https://doi.org/10.1016/0550-3213(78)90412-1	journal	November 1978
Meson Regge Exchanges from Simultaneous Analysis of $π N$ Scattering Data and Dispersion Sum Rules Barger, V.; Phillips, R. J. N. Physical Review, Vol. 187, Issue 5 https://doi.org/10.1103/PhysRev.187.2210	journal	November 1969
Patterns of Exchange Deceneracies Mandula, J.; Weyers, J.; Zweig, G. Annual Review of Nuclear Science, Vol. 20, Issue 1 https://doi.org/10.1146/annurev.ns.20.120170.001445	journal	December 1970
The Physics of Glueballs Mathieu, Vincent; Kochelev, Nikolai; Vento, Vicente International Journal of Modern Physics E, Vol. 18, Issue 01 https://doi.org/10.1142/S0218301309012124	journal	January 2009
$π^{\pm} p$ , $K^{\pm} p$ , $pp$ , and $\bar{p} p$ elastic scattering from 50 to 175 GeV/ c Ayres, D. S.; Diebold, R.; Maclay, G. J. Physical Review D, Vol. 15, Issue 11 https://doi.org/10.1103/PhysRevD.15.3105	journal	June 1977
Hadron-proton elastic scattering at 50, 100, and 200 GeV/ c momentum Akerlof, C. W.; Kotthaus, R.; Loveless, R. L. Physical Review D, Vol. 14, Issue 11 https://doi.org/10.1103/PhysRevD.14.2864	journal	December 1976
Systematic study of $π^{\pm} p$ , $K^{\pm} p$ , $pp$ , and $\bar{p} p$ forward elastic scattering from $3 to 6 \frac{GeV}{c}$ Ambats, I.; Ayres, D. S.; Diebold, R. Physical Review D, Vol. 9, Issue 5 https://doi.org/10.1103/PhysRevD.9.1179	journal	March 1974
Polarization measurements in π+ p and K+ p elastic scattering at 6 and 12 GeV/c with the CERN polarized deuteron target Fujisaki̇, M.; Babou, M.; Bystricky, J. Nuclear Physics B, Vol. 151 https://doi.org/10.1016/0550-3213(79)90435-8	journal	January 1979
Measurement of the polarization parameter in π+p elastic scattering at 10, 14 and 17.5 GeV/c and for \| t \| ⪅ 2 (GeV/c)2 Borghini, M.; Dick, L.; Olivier, J. C. Physics Letters B, Vol. 36, Issue 5 https://doi.org/10.1016/0370-2693(71)90539-9	journal	October 1971
Measurements of the Polarization Parameter in $π^{\pm} p$ Elastic Scattering Between 2.50 and 5.15 GeV/ c Scheid, J. A.; Booth, N. E.; Conforto, G. Physical Review D, Vol. 8, Issue 5 https://doi.org/10.1103/PhysRevD.8.1263	journal	September 1973
Fermion Regge-Pole Model for the Structure of Pion-Nucleon Elastic Scattering in the Backward Hemisphere Barger, V.; Cline, D. Physical Review, Vol. 155, Issue 5 https://doi.org/10.1103/PhysRev.155.1792	journal	March 1967
Simultaneous Fit for Forward and Backward Pion-Nucleon Charge-Exchange Scattering Lacombe, M.; Nicolescu, B.; Mau, R. Vinh Physical Review D, Vol. 7, Issue 3 https://doi.org/10.1103/PhysRevD.7.784	journal	February 1973
Backward pion-nucleon scattering Huang, F.; Sibirtsev, A.; Haidenbauer, J. The European Physical Journal A, Vol. 44, Issue 1 https://doi.org/10.1140/epja/i2010-10930-2	journal	February 2010
Dispersion sum rules and high energy scattering Logunov, A. A.; Soloviev, L. D.; Tavkhelidze, A. N. Physics Letters B, Vol. 24, Issue 4 https://doi.org/10.1016/0370-2693(67)90487-X	journal	February 1967
New Sum Rules and Singularities in the Complex $J$ Plane Igi, Keiji; Matsuda, Satoshi Physical Review Letters, Vol. 18, Issue 15 https://doi.org/10.1103/PhysRevLett.18.625	journal	April 1967
Finite-Energy Sum Rules and Their Application to $π N$ Charge Exchange Dolen, R.; Horn, D.; Schmid, C. Physical Review, Vol. 166, Issue 5 https://doi.org/10.1103/PhysRev.166.1768	journal	February 1968
Pion-nucleon charge exchange amplitudes above 2 GeV Huang, F.; Sibirtsev, A.; Krewald, S. The European Physical Journal A, Vol. 40, Issue 1 https://doi.org/10.1140/epja/i2008-10728-9	journal	February 2009
Forward pion-nucleon charge exchange reaction and Regge constraints Fei, Huang; Sibirtsev, A.; Krewald, S. Chinese Physics C, Vol. 33, Issue 12 https://doi.org/10.1088/1674-1137/33/12/045	journal	December 2009

Cited By (2)

On the existence of N*(890) resonance in S11 channel of πN scatterings Wang, Yu-Fei; Yao, De-Liang; Zheng, Han-Qing Frontiers of Physics, Vol. 14, Issue 2 https://doi.org/10.1007/s11467-018-0877-9	journal	December 2018
Measurement of the beam asymmetry Σ for π0 and η photoproduction on the proton at Eγ=9 GeV Al Ghoul, H.; Anassontzis, E. G.; Austregesilo, A. Figshare https://doi.org/10.1184/r1/4926080	text	January 2017

Similar Records

Structure of pion photoproduction amplitudes

Journal Article · Tue Jul 31 00:00:00 EDT 2018 · Physical Review. D. · OSTI ID:1222585

Mathieu, V.; Nys, J.; Fernández-Ramírez, C.; +5 more

Finite-energy sum rules in eta photoproduction off a nucleon

Journal Article · Wed Feb 15 00:00:00 EST 2017 · Physical Review D · OSTI ID:1222585

Nys, Jannes; Mathieu, V.; Fernandez-Ramirez, Cesar; +7 more

Pion-pion scattering amplitude

Journal Article · Fri Apr 01 00:00:00 EST 2005 · Physical Review. D, Particles Fields · OSTI ID:1222585

Pelaez, J R; Yndurain, F J

Related Subjects

72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS

Title: Toward complete pion nucleon amplitudes

Citation Formats

References (42)

Cited By (2)

Similar Records

Related Subjects