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Scattering Theory

T0 review · reviewed 2026-06-27 · grok-4.3

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Pith's one-line read Scattering theory uses transition amplitudes to analyze data and extract resonance parameters from particle interactions.

desk verdict This is a standard overview chapter on scattering theory with no new results or derivations. read the letter →

arxiv 2606.10634 v1 pith:3X6SRSWO submitted 2026-06-09 hep-ph

Christoph Hanhart , Mikhail Mikhasenko This is my paper
classification hep-ph
keywords scatteringtheorytransitionamplitudesresonanceparametersparticlephysicshadronicsystemsnuclearacceleratorfacilities
verification ladder T0 review T1 audit T2 compute T3 formal

The pith

A machine-rendered reading of the paper's core claim, the machinery that carries it, and where it could break.

The reading

This paper outlines the core framework of scattering theory in particle physics. It explains how transition amplitudes link scattering experiment results to the properties of resonances and particles. Readers would care because these tools are used to interpret data from accelerators and hadronic systems. The overview covers methods essential for understanding interactions among elementary particles.

What carries the argument

Transition amplitudes that connect initial and final states in scattering processes.

What would settle it

Experimental data from particle collisions that cannot be fit using transition amplitudes or standard resonance extraction methods.

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Extended reading notes

Core claim

The fundamental framework of scattering theory describes interactions among elementary particles by means of transition amplitudes that permit the analysis of scattering data and the extraction of resonance parameters.

Load-bearing premise

That scattering theory provides an accurate and complete description of particle interactions.

Editorial extensions

If this is right

  • Transition amplitudes enable the analysis of data from scattering experiments.
  • Resonance parameters can be extracted using these methods.
  • The framework applies to processes at major accelerator facilities.
  • Methods extend to a broad range of hadronic and nuclear systems.

Reading between the lines

Editorial extensions of the paper, not claims the author makes directly.

  • The same amplitude methods could guide analysis of scattering in future experiments with new particles.
  • Principles from this framework might connect to scattering descriptions in other quantum systems.
  • Detailed resonance extraction could inform models of particle production rates.
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Editorial analysis

A structured set of objections, weighed in public.

Desk editor's note, referee report, simulated authors' rebuttal, and a circularity audit.

Referee Report

0 major / 0 minor

Summary. The manuscript is a chapter providing an overview of the fundamental framework of scattering theory in particle physics. It covers transition amplitudes for analyzing data from scattering experiments and extracting resonance parameters, noting that these concepts are essential for processes studied at major accelerator facilities and in hadronic and nuclear systems.

Significance. If the summary is accurate, the manuscript offers a clear educational recap of standard, consensus textbook material on scattering theory without introducing novel derivations, models, or empirical claims. Credit is due for its alignment with established methods and absence of unsupported assertions, but as an overview rather than an advance, its significance for a research journal is primarily pedagogical.

Simulated Author's Rebuttal

0 responses · 0 unresolved

We thank the referee for their careful reading and positive recommendation to accept the manuscript. The report correctly identifies the work as an overview chapter summarizing the established framework of scattering theory.

Circularity Check

0 steps flagged · score 0.0 of 10

No circularity; standard educational overview with no derivations or predictions

full rationale

The paper is explicitly an overview chapter summarizing the established framework of scattering theory (transition amplitudes, resonance extraction) as used in particle physics. It presents no novel derivations, predictions, fitted parameters, or load-bearing claims that could reduce to inputs by construction. Content aligns with consensus textbook material on accelerator processes and hadronic systems, making it self-contained against external benchmarks with no self-citation chains or ansatzes to inspect.

Assumptions & free parameters 0 free parameters · 0 assumptions · 0 invented entities

This is a review chapter with no new derivations, so the ledger contains no entries.

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Cite this review

Pith. "Pith review of Scattering Theory." pith.science (2026). https://pith.science/paper/3X6SRSWO

@misc{pith2026260610634,
  author       = {Pith},
  title        = {Pith review of: Scattering Theory},
  year         = {2026},
  howpublished = {\url{https://pith.science/paper/3X6SRSWO}},
  note         = {Machine review of arXiv:2606.10634}
}
read the original abstract

This chapter provides an overview of the fundamental framework of scattering theory, which is widely used in particle physics to describe and interpret interactions among elementary particles. We explore how transition amplitudes enable the analysis of data from scattering experiments and the extraction of resonance parameters. The concepts and methods discussed are essential for understanding processes studied at major accelerator facilities worldwide and in a broad range of hadronic and nuclear systems.

Discussion (0). Sign in to comment.

Reference graph

Works this paper leans on

42 extracted references · 33 canonical work pages

  1. [1]

    M. E. Peskin, D. V. Schroeder, An Introduction to quantum field theory, Addison-Wesley, Reading, USA, 1995

    1995

  2. [2]

    Virtual and real processes, the K\"all\'en function, and the relation to dilogarithms

    L. Kaldam ¨ae, S. Groote, Virtual and real processes, the K ¨all´en function, and the relation to dilogarithms, J. Phys. G 42 (8) (2015) 085003. arXiv:1404.7714,doi:10.1088/0954-3899/42/8/085003

    work page Pith review arXiv doi:10.1088/0954-3899/42/8/085003 2015

  3. [3]

    Particle Data Group, Review of particle physics, Phys. Rev. D110 (2024) 030001.doi:10.1103/PhysRevD.110.030001

    work page doi:10.1103/physrevd.110.030001 2024

  4. [4]

    Byckling, K

    E. Byckling, K. Kajantie, Particle Kinematics: (Chapters I-VI, X), University of Jyv ¨askyl¨a, Jyv¨askyl¨a, Finland, 1971

    1971

  5. [5]

    Kleiss, W

    R. Kleiss, W. J. Stirling, S. D. Ellis, A New Monte Carlo Treatment of Multiparticle Phase Space at High-energies, Comput. Phys. Commun. 40 (1986) 359.doi:10.1016/0010-4655(86)90119-0

    work page doi:10.1016/0010-4655(86)90119-0 1986

  6. [6]

    RAMBO on diet

    S. Pl ¨atzer, RAMBO on diet (2013).arXiv:1308.2922

    work page Pith review arXiv 2013

  7. [7]

    Mandelstam, Determination of the pion - nucleon scattering amplitude from dispersion relations and unitarity

    S. Mandelstam, Determination of the pion - nucleon scattering amplitude from dispersion relations and unitarity. General theory, Phys. Rev. 112 (1958) 1344–1360.doi:10.1103/PhysRev.112.1344

    work page doi:10.1103/physrev.112.1344 1958

  8. [8]

    R. H. Dalitz, On the analysis of tau-meson data and the nature of the tau-meson, Phil. Mag. Ser. 7 44 (1953) 1068–1080.doi:10.1080/ 14786441008520365

    1953

Show all 42 references
  1. [9]

    Gottfried, J

    K. Gottfried, J. D. Jackson, On the Connection between production mechanism and decay of resonances at high-energies, Nuovo Cim. 33 (1964) 309–330.doi:10.1007/BF02750195

    1964 doi

  2. [10]

    Mikhasenko, et al., Dalitz-plot decomposition for three-body decays, Phys

    M. Mikhasenko, et al., Dalitz-plot decomposition for three-body decays, Phys. Rev. D101 (2020) 034033.arXiv:1910.04566,doi:10. 1103/PhysRevD.101.034033

    2020

  3. [11]

    J. D. Hansen, G. T. Jones, G. Otter, G. Rudolph, Formalism and assumptions involved in partial wave analysis of three-meson systems, Nucl. Phys. B81 (1974) 403–430.doi:10.1016/0550-3213(74)90241-7

    1974 doi

  4. [12]

    Herndon, P

    D. Herndon, P . S¨oding, R. J. Cashmore, A generalized isobar model formalism, Phys. Rev. D11 (1975) 3165.doi:10.1103/PhysRevD.11. 3165

    1975 doi

  5. [13]

    N. N. Bogoliubov, D. V. Shirkov, Introduction to the Theory of Quantized Fields, Cambridge University Press, 1975.doi:10.1017/ CBO9780511563823

    1975

  6. [14]

    Lehmann, K

    H. Lehmann, K. Symanzik, W. Zimmermann, On the formulation of quantized field theories, Nuovo Cim. 1 (1955) 205–225.doi:10.1007/ BF02731765

    1955

  7. [15]

    R. J. Eden, P . V. Landshoff, D. I. Olive, J. C. Polkinghorne, The analytic S-matrix, Cambridge Univ. Press, Cambridge, 1966

    1966

  8. [16]

    Weinberg, The Quantum theory of fields

    S. Weinberg, The Quantum theory of fields. Vol. 1: Foundations, Cambridge University Press, 2005.doi:10.1017/CBO9781139644167

    2005 doi

  9. [17]

    H. A. Kramers, La diffusion de la lumi `ere par les atomes, Atti Cong. Intern. Fisici, (Transactions of Volta Centenary Congress) Como 2 (1927) 545–557. 6It is not excluded that such a potential generates poles in the complex plane of the first sheet—parameters spaces with thi...

    1927

  10. [18]

    R. d. L. Kronig, On the theory of the dispersion of x-rays, J. Opt. Soc. Am. 12 (6) (1926) 547–557.doi:10.1364/JOSA.12.000547

    1926 doi

  11. [19]

    Adams, N

    A. Adams, N. Arkani-Hamed, S. Dubovsky, A. Nicolis, R. Rattazzi, Causality, analyticity and an IR obstruction to UV completion, JHEP 10 (2006) 014.arXiv:hep-th/0602178,doi:10.1088/1126-6708/2006/10/014

    2006 doi arXiv

  12. [20]

    M. F . Paulos, J. Penedones, J. Toledo, B. C. van Rees, P . Vieira, The S-matrix bootstrap. Part I: QFT in AdS, JHEP 11 (2017) 143. arXiv:1607.06110,doi:10.1007/JHEP11(2017)143

    2017 doi arXiv

  13. [21]

    D. I. Olive, Unitarity and the evaluation of discontinuities, Nuovo Cim. 26 (1962) 73–102.doi:10.1007/BF02754344

    1962 doi

  14. [22]

    K. M. Watson, Some general relations between the photoproduction and scattering ofπmesons, Phys. Rev. 95 (1954) 228–236.doi: 10.1103/PhysRev.95.228

    1954 doi

  15. [23]

    V. N. Gribov, Strong interactions of hadrons at high energies: Gribov lectures on Theoretical Physics, Cambridge University Press, 2012

    2012

  16. [24]

    A. D. Lahiff, I. R. Afnan, Solution of the Bethe–Salpeter equation forπNscattering, Phys. Rev. C60 (1999) 024608.arXiv:nucl-th/ 9903058,doi:10.1103/PhysRevC.60.024608

    1999 doi

  17. [25]

    Gross, Relativistic quantum mechanics and field theory, Wiley, 1993

    F . Gross, Relativistic quantum mechanics and field theory, Wiley, 1993

    1993

  18. [26]

    R ¨onchen, M

    D. R ¨onchen, M. D ¨oring, F . Huang, H. Haberzettl, J. Haidenbauer, C. Hanhart, S. Krewald, U.-G. Meißner, K. Nakayama, Coupled-channel dynamics in the reactionsπN→πN, ηN,KΛ,KΣ, Eur. Phys. J. A49 (2013) 44.arXiv:1211.6998,doi:10.1140/epja/i2013-13044-5

    2013 doi arXiv

  19. [27]

    Zhang, C

    X. Zhang, C. Hanhart, U.-G. Meißner, J.-J. Xie, Remarks on non-perturbative three-body dynamics and its application to theKK ¯Ksystem, Eur. Phys. J. A58 (2022) 20.arXiv:2107.03168,doi:10.1140/epja/s10050-021-00661-y

    2022 doi

  20. [28]

    Machleidt, D

    R. Machleidt, D. R. Entem, Chiral effective field theory and nuclear forces, Phys. Rept. 503 (2011) 1–75.arXiv:1105.2919,doi:10.1016/ j.physrep.2011.02.001

    2011 arXiv

  21. [29]

    J. T. Chacko, V. Baru, C. Hanhart, S. L. Krug, Two-pion exchange for coupled-channel scattering of two heavy mesons, Phys. Rev. D111 (3) (2025) 034042.arXiv:2411.13303,doi:10.1103/PhysRevD.111.034042

    2025 doi

  22. [30]

    Epelbaum, H.-W

    E. Epelbaum, H.-W. Hammer, U.-G. Meißner, Modern Theory of Nuclear Forces, Rev. Mod. Phys. 81 (2009) 1773–1825.arXiv:0811.1338, doi:10.1103/RevModPhys.81.1773

    2009 doi arXiv

  23. [31]

    V. Baru, C. Hanhart, Yu. S. Kalashnikova, A. E. Kudryavtsev, A. V. Nefediev, Interplay of quark and meson degrees of freedom in a near-threshold resonance, Eur. Phys. J. A44 (2010) 93–103.arXiv:1001.0369,doi:10.1140/epja/i2010-10929-7

    2010 doi arXiv

  24. [32]

    F . K. Guo, C. Hanhart, Y . S. Kalashnikova, P . Matuschek, R. V. Mizuk, A. V. Nefediev, Q. Wang, J. L. Wynen, Interplay of quark and meson degrees of freedom in near-threshold states: A practical parametrization for line shapes, Phys. Rev. D93 (7) (2016) 074031. arXiv:1602.00...

    2016 doi arXiv

  25. [33]

    J. A. Oller, E. Oset, Chiral symmetry amplitudes in the S wave isoscalar and isovector channels and theσ,f 0(980),a 0(980)scalar mesons, Nucl. Phys. A620 (1997) 438–456, [Erratum: Nucl.Phys.A 652, 407–409 (1999)].arXiv:hep-ph/9702314,doi:10.1016/S0375-9474(97) 00160-7

    1997 doi arXiv

  26. [34]

    R. A. Bric ¸eno, J. J. Dudek, R. D. Y oung, Scattering processes and resonances from lattice QCD, Rev. Mod. Phys. 90 (2) (2018) 025001. arXiv:1706.06223,doi:10.1103/RevModPhys.90.025001

    2018 doi arXiv

  27. [35]

    Mai, U.-G

    M. Mai, U.-G. Meißner, C. Urbach, Towards a theory of hadron resonances, Phys. Rept. 1001 (2023) 1–66.arXiv:2206.01477,doi: 10.1016/j.physrep.2022.11.005

    2023 doi

  28. [36]

    Cutkosky, Singularities and discontinuities of Feynman amplitudes, J

    R. Cutkosky, Singularities and discontinuities of Feynman amplitudes, J. Math. Phys. 1 (1960) 429–433.doi:10.1063/1.1703676

    1960 doi

  29. [37]

    J. L. Basdevant, E. L. Berger, Unitary coupled-channel analysis of diffractive production of thea 1 resonance, Phys. Rev. D16 (1977) 657. doi:10.1103/PhysRevD.16.657

    1977 doi

  30. [38]

    G. J. Gounaris, J. J. Sakurai, Finite width corrections to the vector meson dominance prediction forρ→e +e−, Phys. Rev. Lett. 21 (1968) 244–247.doi:10.1103/PhysRevLett.21.244

    1968 doi

  31. [39]

    J. M. Blatt, V. F . Weisskopf, Theoretical nuclear physics, Springer, New Y ork, 1952.doi:10.1007/978-1-4612-9959-2

    1952 doi

  32. [40]

    Du, F .-K

    M.-L. Du, F .-K. Guo, C. Hanhart, F . Herren, B. Kubis, R. van Tonder, Discovering theD∗ 0(2100)inBsemileptonic decays, Eur. Phys. J. C85 (2025) 1289.arXiv:2509.12133,doi:10.1140/epjc/s10052-025-15035-7

    2025 doi

  33. [41]

    I. J. R. Aitchison, K-matrix formalism for overlapping resonances, Nucl. Phys. A189 (1972) 417–423.doi:10.1016/0375-9474(72)90305-3

    1972 doi

  34. [42]

    L. A. Heuser, G. Chanturia, F . K. Guo, C. Hanhart, M. Hoferichter, B. Kubis, From pole parameters to line shapes and branching ratios, Eur. Phys. J. C84 (6) (2024) 599.arXiv:2403.15539,doi:10.1140/epjc/s10052-024-12884-6

    2024 doi

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