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This work provides a brief history of determinations of the pion-nucleon ($\pi N$) coupling constant from $\pi N$ and $N N$ data.
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1947
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1954
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M.L. Goldberger, H. Miyazawa, R. Oehme, ‘Application of dispersion relations to pion-nucleon scattering’, Phys. Rev. 99 (1955) 986. DOI: 10.1103/PhysRev.99.986
1955
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T.L. Trueman, ‘Energy level shifts in atomic states of strongly-interacting particles’, Nucl. Phys. 26 (1961) 57–67. DOI: 10.1016/0029-5582(61)90115-8
1961
Earlier work this paper cites.
J. Hamilton, W.S. Woolcock, ‘Determination of pion-nucleon parameters and phase shifts by dispersion relations’, Rev. Mod. Phys. 35 (1963) 737–787. DOI: 10.1103/RevModPhys.35.737
1963
Earlier work this paper cites.
W.I. Weisberger, ‘Unsubtracted dispersion relations and the renormalization of the weak axial-vector coupling constants’, Phys. Rev. 143 (1966) 1302. DOI: 10.1103/PhysRev.143.1302
1966
Earlier work this paper cites.
D.V. Bugg, ‘Meson-nucleon coupling constants from nucleon-nucleon forward dispersion relations’, Nucl. Phys. B 5 (1968) 29–46. DOI: 10.1016/0550-3213(68)90205-8
1968
Earlier work this paper cites.
S.L. Adler, ‘Sum rules for the axial-vector coupling-constant renormalization in β \beta decay’, Phys. Rev. 140 (1965) B736; see also Errata: Phys. Rev. 149 (1966) 1294 and Phys. Rev. 175 (1968) 2224. DOI: 10.1103/PhysRev.140.B736
1968
Earlier work this paper cites.
G. Ebel, H. Pilkuhn, F. Steiner, ‘Compilation of coupling constants and low-energy parameters’, Nucl. Phys. B 17 (1970) 1–26. DOI: 10.1016/0550-3213(70)90400-1
1970
Earlier work this paper cites.
L.S. Brown, W.J. Pardee, R.D. Peccei, ‘Adler-Weisberger Theorem reexamined’, Phys. Rev. D 4 (1971) 2801–2810. DOI: 10.1103/PhysRevD.4.2801
1971
Earlier work this paper cites.
R.A. Arndt, L.D. Roper, ‘The use of partial-wave representations in the planning of scattering measurements. Application to 330 330 MeV n p np scattering’, Nucl. Phys. B 50 (1972) 285–300. DOI: 10.1016/S0550-3213(72)80019-1
1972
Earlier work this paper cites.
D.V. Bugg, A.A. Carter, J.R. Carter, ‘New values of pion-nucleon scattering lengths and f 2 f^{2} ’, Phys. Lett. B 44 (1973) 278–280. DOI: 10.1016/0370-2693(73)90225-6
1973
Earlier work this paper cites.
P.Y. Bertin et al., ‘ π + p \pi^{+}p scattering below 100 100 MeV’, Nucl. Phys. B 106 (1976) 341–354. DOI: 10.1016/0550-3213(76)90383-7
1976
Earlier work this paper cites.
B. Tromborg, S. Waldestrøm, I. Øverbø, ‘Electromagnetic corrections to π + p \pi^{+}p scattering’, Ann. Phys. 100 (1976) 1–36. DOI: 10.1016/0003-4916(76)90055-5
1976
Earlier work this paper cites.
G. Rasche, W.S. Woolcock, ‘The effect of radiative capture on threshold π − p \pi^{-}p scattering and the theory of the Panofsky ratio’, Helv. Phys. Acta 49 (1976) 557–567
1976
Earlier work this paper cites.
B. Tromborg, S. Waldestrøm, I. Øverbø, ‘Electromagnetic corrections to π N \pi N scattering’, Phys. Rev. D 15 (1977) 725–729. DOI: 10.1103/PhysRevD.15.725
1977
Earlier work this paper cites.
B. Tromborg, S. Waldestrøm, I. Øverbø, ‘Electromagnetic corrections in hadron scattering, with application to π N → π N \pi N\to\pi N ’, Helv. Phys. Acta 51 (1978) 584–607
1978
Earlier work this paper cites.
R. Koch, E. Pietarinen, ‘Low-energy π N \pi N partial wave analysis’, Nucl. Phys. A 336 (1980) 331–346. DOI: 10.1016/0375-9474(80)90214-6
1980
Earlier work this paper cites.
G. Rasche, W.S. Woolcock, ‘Connection between low-energy scattering parameters and energy shifts for pionic hydrogen’, Nucl. Phys. A 381 (1982) 405–418. DOI: 10.1016/0375-9474(82)90367-0
1982
Earlier work this paper cites.
G. Höhler, ‘Pion Nucleon Scattering. Part 2: Methods and Results of Phenomenological Analyses’, Landolt-Börnstein, Vol. 9b2, ed. H. Schopper, Springer, Berlin, 1983
1983
Earlier work this paper cites.
R.A. Arndt, Zhujun Li, L.D. Roper, R.L. Workman, ‘Determination of the π N N \pi NN coupling constant from elastic pion-nucleon scattering data’, Phys. Rev. Lett. 65 (1990) 157. DOI: 10.1103/PhysRevLett.65.157
1990
Earlier work this paper cites.
R.A. Arndt, Zhujun Li, L.D. Roper, R.L. Workman, J.M. Ford, ‘Pion-nucleon partial-wave analysis to 2 2 GeV’, Phys. Rev. D 43 (1991) 2131. DOI: 10.1103/PhysRevD.43.2131
1991
Earlier work this paper cites.
R.A.M. Klomp, V.G.J. Stoks, J.J. de Swart, ‘Determination of the N N π NN\pi coupling constants in N N NN partial-wave analyses’, Phys. Rev. C 44 (1991) R1258(R). DOI: 10.1103/PhysRevC.44.R1258
1991
Earlier work this paper cites.
V. Stoks, R. Timmermans, J.J. de Swart, ‘Pion-nucleon coupling constant’, Phys. Rev. C 47 (1993) 512–520. DOI: 10.1103/PhysRevC.47.512
1993
Earlier work this paper cites.
F.G. Markopoulou-Kalamara, D.V. Bugg, ‘A new determination of the π N N \pi NN coupling constant f 2 f^{2} ’, Phys. Lett. B 318 (1993) 565–567. DOI: 10.1016/0370-2693(93)91556-3
1993
Earlier work this paper cites.
P.F.A. Goudsmit, H.J. Leisi, E. Matsinos, ‘A pion-nucleon interaction model’, Phys. Lett. B 299 (1993) 6–10. DOI: 10.1016/0370-2693(93)90875-I
1993
Earlier work this paper cites.
R. Timmermans, Th.A. Rijken, J.J. de Swart, ‘Antiproton-proton partial-wave analysis below 925 925 MeV/ c c ’, Phys. Rev. C 50 (1994) 48. DOI: 10.1103/PhysRevC.50.48
1994
Earlier work this paper cites.
R.A. Arndt, R.L. Workman, M.M. Pavan, ‘Pion-nucleon partial-wave analysis with fixed- t t dispersion relation constraints’, Phys. Rev. C 49 (1994) 2729–2734. DOI: 10.1103/PhysRevC.49.2729
1994
Earlier work this paper cites.
R.A. Arndt, I.I. Strakovsky, R.L. Workman, ‘Updated analysis of N N NN elastic scattering data to 1.6 1.6 GeV’, Phys. Rev. C 50 (1994) 2731–2741. DOI: 10.1103/PhysRevC.50.2731
1994
Cited alongside, same era.
P.F.A. Goudsmit, H.J. Leisi, E. Matsinos, B.L. Birbrair, A.B. Gridnev, ‘The extended tree-level model for the pion-nucleon interaction’, Nucl. Phys. A 575 (1994) 673–706. DOI: 10.1016/0375-9474(94)90162-7
1994
Cited alongside, same era.
P.F.A. Goudsmit, H.J. Leisi, E. Matsinos, ‘The low-energy pion-nucleon interaction’, Helv. Phys. Acta 67 (1994) 369–391
1994
Cited alongside, same era.
F. Bradamante, A. Bressan, M. Lamanna, A. Martin, ‘Determination of the charged pion-nucleon coupling constant from p ¯ p → n ¯ n \bar{p}p\to\bar{n}n differential cross-section’, Phys. Lett. B 343 (1995) 431–435. DOI: 10.1016/0370-2693(94)01565-T
1995
Cited alongside, same era.
V.E. Lyubovitskij, Th. Gutsche, A. Faessler, R. Vinh Mau, ‘Electromagnetic couplings of the chiral perturbation theory Lagrangian from the perturbative chiral quark model’, Phys. Rev. C 65 (2002) 025202. DOI: 10.1103/PhysRevC.65.025202
2002
Later among the works it cites.
T.E.O. Ericson, B. Loiseau, S. Wycech, ‘A phenomenological π − p \pi^{-}p scattering length from pionic hydrogen’, Phys. Lett. B 594 (2004) 76–86. DOI: 10.1016/j.physletb.2004.05.009
2004
Later among the works it cites.
R.A. Arndt, W.J. Briscoe, I.I. Strakovsky, R.L. Workman, M.M. Pavan, ‘Dispersion relation constrained partial wave analysis of π N \pi N elastic and π N → η N \pi N\to\eta N scattering data: The baryon spectrum’, Phys. Rev. C 69 (2004) 035213. DOI: 10.1103/PhysRevC.69.035213
2004
Later among the works it cites.
D.V. Bugg, ‘The pion nucleon coupling constant’, Eur. Phys. J. C 33 (2004) 505–509. DOI: 10.1140/epjc/s2004-01666-y
2004
Later among the works it cites.
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T.E.O. Ericson et al., ‘ π N N \pi NN coupling from high precision n p np charge exchange at 162 162 MeV’, Phys. Rev. Lett. 75 (1995) 1046–1049. DOI: 10.1103/PhysRevLett.75.1046
1995
Cited alongside, same era.
D.V. Bugg, R. Machleidt, ‘ π N N \pi NN coupling constants from N N NN elastic data between 210 210 and 800 800 MeV’, Phys. Rev. C 52 (1995) 1203. DOI: 10.1103/PhysRevC.52.1203
1995
Cited alongside, same era.
D. Sigg et al., ‘Strong interaction shift and width of the 1 s 1s level in pionic hydrogen’, Phys. Rev. Lett. 75 (1995) 3245. DOI: 10.1103/PhysRevLett.75.3245
1995
Cited alongside, same era.
D. Sigg, A. Badertscher, P.F.A. Goudsmit, H.J. Leisi, G.C. Oades, ‘Electromagnetic corrections to the s s -wave scattering lengths in pionic hydrogen’, Nucl. Phys. A 609 (1996) 310–325. DOI: 10.1016/S0375-9474(96)00238-2
1996
Cited alongside, same era.
J.J. de Swart, M.C.M. Rentmeester, R.G.E. Timmermans, ‘The status of the pion-nucleon coupling constant’, π N \pi N Newslett. 13 (1997) 96–107; arXiv:9802084 [nucl-th]
1997
Cited alongside, same era.
R.G.E. Timmermans, ‘Novel pion nucleon partial-wave analysis’, π N \pi N Newslett. 13 (1997) 80–89
1997
Cited alongside, same era.
E. Matsinos, ‘ π N \pi N scattering below 100 100 MeV’, π N \pi N Newslett. 13 (1997) 132–137
1997
Cited alongside, same era.
E. Matsinos, ‘Isospin violation in the π N \pi N system at low energies’, Phys. Rev. C 56 (1997) 3014–3025. DOI: 10.1103/PhysRevC.56.3014
1997
Cited alongside, same era.
D. Binosi, L. Theußl, ‘JaxoDraw: A graphical user interface for drawing Feynman diagrams’, Comput. Phys. Commun. 161 (2004) 76–86. DOI: 10.1016/j.cpc.2004.05.001
2004
Later among the works it cites.
P. Zemp, ‘Pionic Hydrogen in QCD + QED: Decay width at NNLO’, PhD dissertation, University of Bern, 2004
2004
Later among the works it cites.
R.A. Arndt, W.J. Briscoe, I.I. Strakovsky, R.L. Workman, ‘Extended partial-wave analysis of π N \pi N scattering data’, Phys. Rev. C 74 (2006) 045205. DOI: 10.1103/PhysRevC.74.045205
2006
Later among the works it cites.
E. Matsinos, W.S. Woolcock, G.C. Oades, G. Rasche, A. Gashi, ‘Phase-shift analysis of low-energy π ± p \pi^{\pm}p elastic-scattering data’, Nucl. Phys. A 778 (2006) 95–123. DOI: 10.1016/j.nuclphysa.2006.07.040
2006
Later among the works it cites.
G.C. Oades, G. Rasche, W.S. Woolcock, E. Matsinos, A. Gashi, ‘Determination of the s s -wave pion-nucleon threshold scattering parameters from the results of experiments on pionic hydrogen’, Nucl. Phys. A 794 (2007) 73–86. 10.1016/j.nuclphysa.2007.07.007
2007
Later among the works it cites.
2007
Later among the works it cites.
D. Binosi, J. Collins, C. Kaufhold, L. Theußl, ‘JaxoDraw: A graphical user interface for drawing Feynman diagrams. Version 2.0 release notes’, Comput. Phys. Commun. 180 (2009) 1709–1715. DOI: doi.org/10.1016/j.cpc.2009.02.020
2009
Later among the works it cites.
V. Baru, C. Hanhart, M. Hoferichter, B. Kubis, A. Nogga, D.R. Phillips, ‘Precision calculation of the π − d \pi^{-}d scattering length and its impact on threshold π N \pi N scattering’, Phys. Lett. B 694 (2011) 473–477. DOI: 10.1016/j.physletb.2010.10.028
2010
Later among the works it cites.
S. Schlesser et al., ‘Quantum-electrodynamics corrections in pionic hydrogen’, Phys. Rev. C84 (2011) 015211. DOI: 10.1103/PhysRevC.84.015211
2011
Later among the works it cites.
S. Venkat, J. Arrington, G.A. Miller, Xiaohui Zhan, ‘Realistic transverse images of the proton charge and magnetization densities’, Phys. Rev. C 83 (2011) 015203. DOI: 10.1103/PhysRevC.83.015203
2011
Later among the works it cites.
V. Baru, C. Hanhart, M. Hoferichter, B. Kubis, A. Nogga, D.R. Phillips, ‘Precision calculation of threshold π − d \pi^{-}d scattering, π N \pi N scattering lengths, and the GMO sum rule’, Nucl. Phys. A 872 (2011) 69–116. DOI: 10.1016/j.nuclphysa.2011.09.015
2011
Later among the works it cites.
E. Matsinos, G. Rasche, ‘Analysis of the low-energy π ± p \pi^{\pm}p elastic-scattering data’, J. Mod. Phys. 3 (2012) 1369–1387. DOI: 10.4236/jmp.2012.310174
2012
Later among the works it cites.
E. Matsinos, G. Rasche, ‘Analysis of the low-energy π − p \pi^{-}p charge-exchange data’, Int. J. Mod. Phys. A 28 (2013) 1350039. DOI: 10.1142/S0217751X13500395
2013
Later among the works it cites.
A. Antognini et al., ‘Proton structure from the measurement of 2 s − 2 p 2s-2p transition frequencies of muonic hydrogen’, Science 339 (2013) 417–420. DOI: 10.1126/science.1230016
2013
Later among the works it cites.
E. Matsinos, G. Rasche, ‘Aspects of the ETH model of the pion-nucleon interaction’, Nucl. Phys. A 927 (2014) 147–194. DOI: 10.1016/j.nuclphysa.2014.04.021
2014
Later among the works it cites.
D. Gotta et al., ‘Pionic hydrogen and friends’, Hyperfine Interact 234 (2015) 105–111. DOI: 10.1007/s10751-015-1157-5
2015
Later among the works it cites.
V.A. Babenko, N.M. Petrov, ‘Study of the charge dependence of the pion-nucleon coupling constant on the basis of data on low-energy nucleon-nucleon interactions’, Phys. Atomic Nuclei 79 (2016) 67–71. DOI: 10.1134/S1063778815090033
2016
Later among the works it cites.
E. Ruiz Arriola, J.E. Amaro, R. Navarro Pérez, ‘Three pion nucleon coupling constants’, Mod. Phys. Lett A 31 (2016) 1630027. DOI: 10.1142/S0217732316300275
2016
Later among the works it cites.
P.J. Mohr, D.B. Newell, B.N. Taylor, ‘CODATA recommended values of the fundamental physical constants: 2014’, Rev. Mod. Phys. 88 (2016) 035009. DOI: 10.1103/RevModPhys.88.035009
2016
Later among the works it cites.
V.A. Babenko, N.M. Petrov, ‘Relation between the charged and neutral pion-nucleon coupling constants in the Yukawa model’, Phys. Part Nuclei Lett. 14 (2017) 58–65. DOI: 10.1134/S1547477117010083
2017
Later among the works it cites.
R. Navarro Pérez, J.E. Amaro, E. Ruiz Arriola, ‘Precise determination of charge dependent pion-nucleon-nucleon coupling constants’, Phys. Rev. C 95 (2017) 064001. DOI: 10.1103/PhysRevC.95.064001
2017
Later among the works it cites.
M. Tanabashi et al. (Particle Data Group), ‘The Review of Particle Physics (2018)’, Phys. Rev. D 98 (2018) 030001
2018
Later among the works it cites.
M. Hennebach et al., ‘Hadronic shift in pionic hydrogen’, Eur. Phys. J. A 50 (2014) 190; see also Erratum: Eur. Phys. J. A 55 (2019) 24. DOI: 10.1140/epja/i2014-14190-x, 10.1140/epja/i2019-12710-x
2019
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