Аннотация
Представлен обзор развития теоретических и экспериментальных исследований параметров низкоэнергетической КХД, начиная с первых работ в Лаборатории теоретической физики ОИЯИ до современных измерений в ЦЕРН. Кратко обобщён исторический контекст, а также новаторские теоретические подходы, применявшиеся в ОИЯИ для вычисления параметров мезонов в различных адронных моделях, заложившие основу для экспериментального предложения по изучению поляризуемости пиона в реакции радиационного рассеяния на ядрах. Первое наблюдение эффекта Комптона на пионе и первые измерения поляризуемости заряженного пиона и константы γ → 3π, проведённые на ускорителе У-70, представлены как ключевые события, позволившие приступить к количественным исследованиям структуры мезонов и подчеркнувшие их влияние на феноменологию низкоэнергетической КХД. Дальнейший прогресс в теоретических прогнозах позволил выявить необходимость более высокоточных экспериментальных данных, что послужило стимулом для новых измерений с использованием пучков пионов в эксперименте COMPASS в ЦЕРН. Намечены планы будущих исследований в рамках эксперимента AMBER, где использование каонных пучков позволит провести прецизионные измерения поляризуемости каонов и связанных с ними низкоэнергетических констант, что улучшит понимание динамики сильных взаимодействий.
Поддерживающие организации
Библиографические ссылки
[1] M. V. Terent’ev, Electromagnetic properties of pions at low energies, Soviet Physics — Uspekhi 17 (1974) 20–43.
[2] M. V. Terent’ev, Pion polarizability, virtual compton-effect and π → eνγ decay, Physics of Atomic Nuclei 16 (1972) 162 (in Russian).
[3] M. K. Volkov, V. N. Pervushin, Quantum field theory with a chiral Lagrangian and low-energy meson physics, Physics — Uspekhi 120 (1976) 363 (in Russian).
[4] A. S. Galperin, Yu. L. Kalinovsky, Pion polarizability in the linear sigma-model, JINR Preprint Р2-10849, Dubna, 1977 (in Russian).
[5] G. V. Efimov, V. A. Okhlopkova, Pion polarizability in nonlocal quark model, JINR Preprint E4-11568, Dubna, 1978.
[6] A. S. Galperin, G. V. Mitselmakher, A. G. Olshevskiy, V. N. Pervushin, On the possibility of studying pion polarizability in high-energy radiative scattering off nuclei, Physics of Atomic Nuclei 32 (1980) 1053 (in Russian).
[7] H. Primakoff, Photo-Production of Neutral Mesons in Nuclear Electric Fields and the Mean Life of the Neutral Meson, Physical Review 81, 899, Published 1 March, 1951.
[8] Y. M. Antipov, V. A. Bezzubov, N. P. Budanov, Y. P. Gorin, S. P. Denisov, I. V. Kotov, P. A. Kulinich, A. A. Lebedev, G. Mitselmakher and A. G. Olszewski, et al., Observation of the compton effect on π− mesons, Journal of Experimental and Theoretical Physics Letters 35 (1982) 375.
[9] Y. M. Antipov, V. A. Batarin, V. A. Bessubov, N. P. Budanov, Y. P. Gorin, S. P. Denisov, I. V. Kotov, A. A. Lebedev, A. I. Petrukhin and S. A. Polovnikov, et al., Measurement of piMeson Polarizability in Pion Compton Effect, Physical Review Letters B 121 (1983) 445–448.
[10] G. A. Akopdjanov, Y. M. Antipov, V. A. Batarin, et al., A setup for investigation of pi meson radiation scattering on nuclei, Preprint IFVE-82-97, Serpukhov, 1982.
[11] Yu. M. Antipov et al., Experimental Evaluation of the Sum of the Electric and Magnetic Polarizabilities of Pions, JINR-P1-84-490, published in Zeitschrift f¨ur Physik C26 (1985) 495.
[12] Yu. M. Antipov et al., Study of the Compton effect on the π-meson and the polarizability of the charged pion, JINR Preprint P1-86-710, 1986.
[13] Yu. M. Antipov et al., Investigation of γ → 3π Chiral Anomaly During Pion Pair Production by Pions in the Nuclear Coulomb Field, Physical Review D 36 (1987) 21.
[14] J. Wess, B. Zumino, Consequences of anomalous Ward identities, Physics Letters B 37 (1971) 95–97.
[15] E. Witten, Global Aspects of Current Algebra, Nuclear Physics B 223 (1983) 422–432.
[16] J. Gasser, M. A. Ivanov, and M. E. Sainio, Revisiting γγ → π+π− at low energies, Nuclear Physics B 745 (2006) 84–108.
[17] P. Abbon et al. [COMPASS], The COMPASS experiment at CERN, Nuclear Instruments and Methods in Physics Research Section A 577 (2007) 455–518.
[18] P. Abbon et al. [COMPASS], The COMPASS Setup for Physics with Hadron Beams, Nuclear Instruments and Methods in Physics Research Section A 779 (2015) 69–115.
[19] F. Gautheron et al. [COMPASS], COMPASS-II Proposal, SPSC-P-340.
[20] J. Friedrich, Chiral Dynamics in Pion-Photon Reactions, Habilitation thesis, Munich, Tech. U., 2012.
[21] A. Guskov, Study of meson structure and properties through their interaction with virtual photons in the COMPASS experiment, Habilitation thesis, Dubna, JINR, 2019 (in Russian).
[22] A. V. Guskov, The Primakoff reaction study for pion polarizability measurement at COMPASS, Physics of Particles and Nuclei Letters 7 (2010) 192–200.
[23] C. Adolph et al. [COMPASS], Measurement of the charged-pion polarizability, Physical Review Letters 114 (2015) 062002.
[24] N. Kaiser, Radiative corrections to real and virtual muon Compton scattering revisited, Nuclear Physics A 837 (2010) 87–109.
[25] N. Kaiser and J. M. Friedrich, Radiative corrections to pion-nucleus bremsstrahlung, European Journal of Physics A 39 (2009) 71–80.
[26] N. Kaiser and J. M. Friedrich, Radiative corrections to pion Compton scattering, Nuclear Physics A 812 (2008) 186–200.
[27] N. Kaiser and J. M. Friedrich, Cross-sections for low-energy π−γ reactions, European Journal of Physics A 36 (2008) 181–188.
[28] A. B. Arbuzov, Radiative Corrections to High Energy Lepton Bremsstrahlung on Heavy Nuclei, Journal of High Energy Physics 01 (2008) 031.
[29] A. Guskov [COMPASS], Measurement of the charged-pion polarisability at COMPASS, PoS EPS-HEP2015 (2015), 439.
[30] G. Faldt, A Remark on the Primakoff effect, Physical Review C 82 (2010) 037603.
[31] Y. M. Andreev and E. V. Bugaev, Muon bremsstrahlung on heavy atoms, Physical Review D 55 (1997) 1233–1243.
[32] G. Fäldt and U. Tengblad, Coulomb-nuclear interference in pion-nucleus bremsstrahlung, Physical Review C 79 (2009) 014607. [erratum: Physical Review C 87 (2013) No. 2, 029903].
[33] W. Wilcox, Lattice charge overlap. 2: Aspects of charged pion polarizability, Annals of Physics 255 (1997) 60–74.
[34] A. Alexandru, M. Lujan, W. Freeman, F. Lee, Pion electric polarizability from lattice QCD, AIP Conference Proceedings 1701 (2016) No. 1, 040002.
[35] E. V. Luschevskaya, O. E. Solovjeva and O. V. Teryaev, Magnetic polarizability of pion, Physics Letters B 761 (2016) 393–398.
[36] E. V. Luschevskaya, O. E. Solovjeva, O. A. Kochetkov and O. V. Teryaev, Magnetic polarizabilities of light mesons in SU(3) lattice gauge theory, Nuclear Physics B 898 (2015) 627–643; https://doi.org/10.1016/j.nuclphysb.2015.07.023, [arXiv:1411.4284[hep-lat]].
[37] F. X. Lee, A. Alexandru, C. Culver and W. Wilcox, Charged pion electric polarizability from four-point functions in lattice QCD, Physical Review D 108 No. 1, 014512.
[38] L. V. Fil’kov and V. L. Kashevarov, Dipole polarizabilities of charged pions, Physics of Particles and Nuclei 48 (2017) No. 1, 117–123.
[39] L. V. Fil’kov and V. L. Kashevarov, Dipole Polarizabilities of π±-Mesons, International Journal of Modern Physics Conference Series 47 (2018) 1860092.
[40] S. Huber, Upgrade of the COMPASS calorimetric trigger and determination of the charged-pion polarizability, Ph.D. thesis / Munich, Tech. U. (2017).
[41] K. T. Engel, H. H. Patel and M. J. Ramsey-Musolf, Hadronic light-by-light scattering and the pion polarizability, Physical Review D 86 (2012) 037502.
[42] A. Aleksejevs et al., Measuring the charged pion polarizability in the γγ → π+π− reaction. A proposal to the 40th Jefferson Lab Program Advisory Committee, PR-12-13-008 (2013).
[43] V. V. Tarasov, I. F. Larin, CPP/NPP Experiments on Measuring the Polarizabilities of Charged and Neutral Pions., Moscow University Physics Bulletin 79, 580–586 (2024).
[44] B. Pasquini, D. Drechsel and S. Scherer, The Polarizability of the pion: No conflict between dispersion theory and chiral perturbation theory, Physical Review C 77 (2008) 065211.
[45] D. Ecker [COMPASS], Testing predictions of the chiral anomaly in Primakoff reactions at COMPASS, Nuovo Cimento C-Colloquia and Communications in Physics 47 (2024) No. 4, 217.
[46] E. A. Kuraev and Z. K. Silagadze, Once more about the ω → 3π contact term, Physics of Atomic Nuclei 58 (1995) 1589–1596; [arXiv:hep-ph/9502406[hep-ph]].
[47] M. Hoferichter, B. Kubis and D. Sakkas, Extracting the chiral anomaly from γπ → ππ, Physical Review D 86 (2012) 116009.
[48] A. Afanasev, J. C. Bernauer, P. Blunden, J. Bl¨umlein, E. W. Cline, J. M. Friedrich, F. Hagelstein, T. Husek, M. Kohl and F. Myhrer, et al., Radiative corrections: from medium to high energy experiments, European Journal of Physics A 60 (2024) No. 4, 91.
[49] Y. M. Antipov, V. A. Batarin, V. A. Bessubov, N. P. Budanov, Y. P. Gorin, S. P. Denisov, S. V. Klimenko, I. V. Kotov, A. A. Lebedev and A. I. Petrukhin, et al., Investigation of γ → 3π Chiral Anomaly During Pion Pair Production by Pions in the Nuclear Coulomb Field, Physical Review D 36 (1987) 21.
[50] L. Ametller, M. Knecht and P. Talavera, Electromagnetic corrections to γπ+ → π0π+, Physical Review D 64 (2001) 094009.
[51] I. Giller, A. Ocherashvili, T. Ebertshauser, M. A. Moinester and S. Scherer, A New determination of the γπ → ππ anomalous amplitude via π−e− → π−e−π0 data, European Journal of Physics A 25 (2005) 229–240.
[52] D. V. Amelin et al. [VES], Study of ηπ− production by pions in the Coulomb field, Proceedings of the International Europhysics Conference on High Energy Physics, 1997.
[53] B. Kubis and J. Plenter, Anomalous decay and scattering processes of the η meson, European Journal of Physics C 75 (2015) No. 6, 283.
[54] S. Navas et al. [Particle Data Group], Review of particle physics, Physical Review D 110 (2024) No. 3, 030001.
[55] V. N. Pervushin and M. K. Volkov, Pion Polarizability in Chiral Quantum Field Theory, Physics Letters B 55 (1975) 405–408; https://doi.org/10.1016/0370-2693(75)90370-6.
[56] M. K. Volkov and D. Ebert, Pion polarizability in a chiral quark model, Soviet Journal of Nuclear Physics 34 (1981), 104. doi:10.1016/0370-2693(81)90306-3
[57] M. K. Volkov and A. A. Osipov, Polarizability of pions and kaons in superconductor quark model (in Russian), Physics of Atomic Nuclei 41 (1985) 1027–1034.
[58] F. Guerrero and J. Prades, Kaon polarizabilities in chiral perturbation theory, Physics Letters B 405 (1997) 341–346.
[59] S. Nedelko and V. Voronin, Dipole polarizabilities of light pseudoscalar mesons within the domain model of the QCD vacuum, Physical Review D 107 (2023) No. 9, 094027.
[60] M. A. Ivanov and T. Mizutani, Pion and kaon polarizabilities in the quark confinement model, Physical Review D 45 (1992) 1580–1601.
[61] S. Nadeem, W. Wilcox and F. X. Lee, Electric Polarizability of Charged Kaons from Lattice QCD Four-Point Functions, PoS LATTICE2024 (2025) 309.
[62] G. Backenstoss, A. Bamberger, I. Bergstr¨om, T. Bunaciu, J. Egger, R. Hagelberg, S. Hultberg, H. Koch, Y. Lynen and H. G. Ritter, et al., K- mass and k- polarizability from kaonic atoms, Physics Letters B 43 (1973) 431–436.
[63] D. Stamen, J. L. Dammann, Y. Korte and B. Kubis, Polarizabilities from kaon Compton scattering, European Journal of Physics C 84 (2024) No. 12, 1267.
[64] I. Denisenko, A. Guskov and E. Mitrofanov, Hadron structure and spectroscopy at COMPASS. Overview of certain tasks, Physics of Particles and Nuclei 48 (2017) No. 4, 635–658.
[65] B. Adams, C. A. Aidala, R. Akhunzyanov, G. D. Alexeev, M. G. Alexeev, A. Amoroso, V. Andrieux, N. V. Anfimov, V. Anosov and A. Antoshkin, et al., Letter of Intent: A New QCD facility at the M2 beam line of the CERN SPS (COMPASS++/AMBER), 2018.
[66] M. I. Vysotsky and E. V. Zhemchugov, Looking for chiral anomaly in Kγ → Kπ reactions, Physical Review D 93 (2016) No. 9, 094029 [erratum: Physical Review D 94 (2016) No. 1, 019901].
[67] D. Stamen, M. Dax and B. Kubis, Dispersive analysis of the Primakoff reaction γK → Kπ, PoS CD2021 (2021), 048.
[68] V. Obraztsov [OKA], Evidence for WZW anomaly in the coherent reaction K+Cu → K+π0Cu Cu, Journal of Physics: Conference Series 2446 (2023) No. 1, 012047.

