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S. U. Chung, SPIN FORMALISMS

J. D. Richman, An Experimenter’s Guide to the Helicity Formalism

H. E. Haber, Spin formalism and applications to new physics searches, in 21st Annual SLAC Summer Institute on Particle Physics: Spin Structure in High-energy Processes (School: 26 Jul - 3 Aug, Topical Conference: 4-6 Aug) (SSI 93), pp. 231-272, 4, 1994, arXiv: hep-ph/9405376

K. J. Peters, Int. J. Mod. Phys. A 21, 5618 (2006), arXiv: hep-ph/0412069

C. W. Salgado and D. P. Weygand, Phys. Rept. 537, 1 (2014), arXiv: 1310.7498

M. Jacob and G. C. Wick, Annals Phys. 7, 404 (1959)

S. M. Berman and M. Jacob, Phys. Rev. 139, B1023 (1965)

G. C. Wick, Annals Phys. 18, 65 (1962)

F. Boudjema and R. K. Singh, JHEP 07, 028 (2009), arXiv: 0903.4705

Y. Gao, A. V. Gritsan, Z. Guo et al., Phys. Rev. D 81, 075022 (2010), arXiv: 1001.3396

J. A. Aguilar-Saavedra and R. V. Herrero-Hahn, Phys. Lett. B 718, 983 (2013), arXiv: 1208.6006

J. Gratrex, M. Hopfer, and R. Zwicky, Phys. Rev. D 93, 054008 (2016), arXiv: 1506.03970

V. Arunprasath, R. M. Godbole, and R. K. Singh, Phys. Rev. D 95, 076012 (2017), arXiv: 1612.03803

Z. J. Ajaltouni and E. Di Salvo, Eur. Phys. J. C 79, 989 (2019), arXiv: 1904.02442

S. Y. Choi, J. H. Jeong, and J. H. Song, Eur. Phys. J. Plus 135, 210 (2020), arXiv: 1903.00166

F. Von Hippel and C. Quigg, Phys. Rev. D 5, 624 (1972)

N. L. Harshman and N. Licata, Annals Phys. 317, 182 (2005), arXiv: hep-ph/0407299

M. Mikhasenko et al. (JPAC Collaboration), Eur. Phys. J. C 78, 229 (2018), arXiv: 1712.02815

A. Pilloni et al. (JPAC Collaboration), Eur. Phys. J. C 78, 727 (2018), arXiv: 1805.02113

C. Zemach, Phys. Rev. 133, B1201 (1964)

C. Zemach, Phys. Rev. 140, B97 (1965)

D. Marangotto, Adv. High Energy Phys. 2020, 6674595 (2020), arXiv: 1911.10025

K. Habermann and M. Mikhasenko, Phys. Rev. D 111, 056015 (2025), arXiv: 2409.06913

H. Chen and R. G. Ping, Phys. Rev. D 95, 076010 (2017), arXiv: 1704.05184

M. Mikhasenko et al. (JPAC Collaboration), Phys. Rev. D 101, 034033 (2020), arXiv: 1910.04566

M. Wang, Y. Jiang, Y. Liu et al., Chin. Phys. C 45, 063103 (2021), arXiv: 2012.03699

Y. Gao, T. Rong, Z. Yang et al., Chin. Phys. C 48, 053001 (2024), arXiv: 2302.13862

S. U. Chung, Phys. Rev. D 48, 1225 (1993)

S. U. Chung, Phys. Rev. D 57, 431 (1998)

S. U. Chung and J. Friedrich, Phys. Rev. D 78, 074027 (2008), arXiv: 0711.3143

V. Filippini, A. Fontana, and A. Rotondi, Phys. Rev. D 51, 2247 (1995)

B. S. Zou and D. V. Bugg, Eur. Phys. J. A 16, 537 (2003), arXiv: hep-ph/0211457

B. S. Zou and F. Hussain, Phys. Rev. C 67, 015204 (2003), arXiv: hep-ph/0210164

M. Ablikim et al. (BESIII Collaboration), Phys. Rev. Lett. 132, 181901 (2024), arXiv: 2312.05324

M. Ablikim et al. (BESIII Collaboration), Phys. Rev. D 108, L111101 (2023), arXiv: 2310.10452

M. Ablikim et al. (BESIII Collaboration), JHEP 01, 180 (2024), arXiv: 2309.13883

M. Ablikim et al. (BESIII Collaboration), Phys. Rev. Lett. 132, 131903 (2024), arXiv: 2309.05760

J. J. Zhu and M. L. Yan, Covariant amplitudes for mesons, arXiv: hep-ph/9903349

A. V. Anisovich, V. V. Anisovich, V. N. Markov et al., J. Phys. G 28, 15 (2002), arXiv: hep-ph/0105330

A. Anisovich, E. Klempt, A. Sarantsev et al., Eur. Phys. J. A 24, 111 (2005), arXiv: hep-ph/0407211

S. Dulat and B. S. Zou, Eur. Phys. J. A 26, 125 (2005), arXiv: hep-ph/0508087

A. V. Anisovich and A. V. Sarantsev, Eur. Phys. J. A 30, 427 (2006), arXiv: hep-ph/0605135

S. Dulat, J. J. Wu, and B. S. Zou, Phys. Rev. D 83, 094032 (2011), arXiv: 1103.5810

M. A. Matveev, A. V. Sarantsev, K. M. Semenov-Tian-Shansky et al., Eur. Phys. J. A 54, 108 (2018), arXiv: 1802.07999

X. Dong, K. Su, H. Cai et al., Universe 10, 376 (2024), arXiv: 2012.10913

X. y. Li, X. K. Dong, and H. J. Jing, Nucl. Phys. A 1040, 122761 (2023), arXiv: 2212.06417

A. V. Anisovich, K. V. Nikonov, and A. V. Sarantsev, Phys. Atom. Nucl. 87, 498 (2024), arXiv: 2406.01172

H. J. Jing, D. Ben, S. M. Wu et al., JHEP 06, 039 (2023), arXiv: 2301.01575

H. J. Jing, S. M. Wu, and J. J. Wu, Phys. Rev. D 110, 016014 (2024), arXiv: 2405.06576

M. Benmerrouche, N. C. Mukhopadhyay, and J. F. Zhang, Phys. Rev. D 51, 3237 (1995), arXiv: hep-ph/9412248

M. Benmerrouche, N. C. Mukhopadhyay, and J. F. Zhang, Phys. Rev. Lett. 77, 4716 (1996), arXiv: nucl-th/9611032

V. Pascalutsa, Hadronic J. Suppl. 16, 1 (2001)

M. F. M. Lutz and E. E. Kolomeitsev, Nucl. Phys. A 730, 392 (2004), arXiv: nucl-th/0307039

K. Nakayama, J. Speth, and T. S. H. Lee, Phys. Rev. C 65, 045210 (2002), arXiv: nucl-th/0202012

W. H. Liang, P. N. Shen, J. X. Wang et al., J. Phys. G 28, 333 (2002)

S. J. Parke and T. R. Taylor, Phys. Rev. Lett. 56, 2459 (1986)

Z. Bern, L. J. Dixon, and D. A. Kosower, Ann. Rev. Nucl. Part. Sci. 46, 109 (1996), arXiv: hep-ph/9602280

L. J. Dixon, Calculating scattering amplitudes efficiently, in Theoretical Advanced Study Institute in Elementary Particle Physics (TASI 95): QCD and Beyond, pp. 539-584, 1, 1996, arXiv: hep-ph/9601359

H. Elvang and Y. t. Huang, Scattering Amplitudes, arXiv: 1308.1697

C. Cheung, TASI lectures on scattering amplitudes, in Theoretical Advanced Study Institute in Elementary Particle Physics: Anticipating the Next Discoveries in Particle Physics, pp. 571-623, 2018, arXiv: 1708.03872

G. Travaglini et al., J. Phys. A 55, 443001 (2022), arXiv: 2203.13011

S. Badger, J. Henn, J. C. Plefka and S. Zoia, Scattering Amplitudes in Quantum Field Theory, Lect. Notes Phys. 1021 (2024), arXiv: 2306.05976

P. Benincasa and F. Cachazo, Consistency Conditions on the S-Matrix of Massless Particles, arXiv: 0705.4305

E. Witten, Commun. Math. Phys. 252, 189 (2004), arXiv: hep-th/0312171

R. Britto, F. Cachazo, and B. Feng, Nucl. Phys. B 715, 499 (2005), arXiv: hep-th/0412308

R. Britto, F. Cachazo, B. Feng et al., Phys. Rev. Lett. 94, 181602 (2005), arXiv: hep-th/0501052

Y. Ema, T. Gao, W. Ke et al., JHEP 01, 069 (2026), arXiv: 2506.02106

Y. H. Ni, C. Wu, and J. H. Yu, Massless-Massive Amplitude Correspondence II: Constructive Massive Amplitudes in Standard Model, arXiv: 2601.10622

R. Kleiss and W. J. Stirling, Nucl. Phys. B 262, 235 (1985)

K. Hagiwara and D. Zeppenfeld, Nucl. Phys. B 274, 1 (1986)

R. Kleiss and W. J. Stirling, Z. Phys. C 40, 419 (1988)

S. Dittmaier, Phys. Rev. D 59, 016007 (1998), arXiv: hep-ph/9805445

C. Schwinn and S. Weinzierl, JHEP 05, 006 (2005), arXiv: hep-th/0503015

C. Schwinn and S. Weinzierl, JHEP 03, 030 (2006), arXiv: hep-th/0602012

S. D. Badger, E. W. N. Glover, and V. V. Khoze, JHEP 01, 066 (2006), arXiv: hep-th/0507161

S. D. Badger, E. W. N. Glover, V. V. Khoze et al., JHEP 07, 025 (2005), arXiv: hep-th/0504159

E. Conde and A. Marzolla, JHEP 09, 041 (2016), arXiv: 1601.08113

E. Conde, E. Joung, and K. Mkrtchyan, JHEP 08, 040 (2016), arXiv: 1605.07402

T. Basile, E. Joung, K. Mkrtchyan et al., Phys. Rev. D 109, 125003 (2024), arXiv: 2401.02007

N. Arkani-Hamed, T. C. Huang, and Y. t. Huang, JHEP 11, 070 (2021), arXiv: 1709.04891

E. P. Wigner, Annals Math. 40, 149 (1939)

E. Gourgoulhon, Special Relativity in General Frames, Graduate Texts in Physics, (Springer, Berlin, Heidelberg, 2013)

W. Rarita and J. Schwinger, Phys. Rev. 60, 61 (1941)

S. Weinberg, The Quantum Theory of Fields. (Cambridge University Press, 1995)

M. Ablikim et al. (BESIII Collaboration), JHEP 12, 033 (2022), arXiv: 2209.08464

Y. Jiang et al., Open-source framework TF-PWA package, GitHub link: https://github.com/jiangyi15/tf-pwa (2020)

M. Ablikim et al. (BESIII Collaboration), Phys. Rev. D 101, 032008 (2020)

G. J. Gounaris and J. J. Sakurai, Phys. Rev. Lett. 21, 244 (1968)

P. A. Zyla et al. (Particle Data Group), PTEP 2020, 083C01 (2020)

A. V. Sarantsev, M. Matveev, V. A. Nikonov et al., Eur. Phys. J. A 55, 180 (2019), arXiv: 1907.13387

M. E. Rose, Elementary Theory of Angular Momentum, (Dover Publications, 1995)