RSS feeds
РусскийEnglish
Issue 12, 2024
Volume year page
Issues Authors PACS Subscription For authors

Issues

 / 

2024

 / 

January

←  →

Methodological notes


On effective range expansion in a multichannel system and compositeness of near-threshold resonance

† 
Lebedev Physical Institute, Russian Academy of Sciences, Leninsky prosp. 53, Moscow, 119991, Russian Federation

We discuss effective range expansion in a two-channel system and establishing the nature of a near-threshold hadronic resonance with the help of parameters obtained from a fit to experimental data. In particular, the situation of two strong thresholds located close to each other and a hadronic resonance residing at the lower of them is considered. For the case of a bound state, simple expressions are derived that allow one to estimate the probability of finding the given resonance in each hadronic channel and as a compact quark state if the resonance wave function contains such a component.

Fulltext pdf (516 KB)
Fulltext is also available at DOI: 10.3367/UFNe.2022.07.039225
Keywords: exotic hadrons, near-threshold resonance, effective range expansion
PACS: 11.55.Bq, 14.40.Pq, 14.40.Rt (all)
DOI: 10.3367/UFNe.2022.07.039225
URL: https://ufn.ru/en/articles/2024/1/f/
001198734600001
2-s2.0-85186562233
2024PhyU...67...71N
Citation: Nefediev A V "On effective range expansion in a multichannel system and compositeness of near-threshold resonance" Phys. Usp. 67 71–79 (2024)
BibTexBibNote ® (generic)BibNote ® (RIS)MedlineRefWorks

Received: 30th, March 2022, revised: 27th, June 2022, 28th, July 2022

Оригинал: Нефедьев А В «О разложении эффективного радиуса в многоканальной системе и молекулярности околопорогового резонанса» УФН 194 77–85 (2024); DOI: 10.3367/UFNr.2022.07.039225

References (45) ↓ Similar articles (7)

  1. Jaffe R L Phys. Rev. D 15 267 (1977)
  2. Jaffe R L Phys. Rev. D 15 281 (1977)
  3. Todyshev K Yu Phys. Usp. 63 929 (2020); Todyshev K Yu Usp. Fiz. Nauk 190 995 (2020)
  4. Choi S-K(Belle Collab.) Phys. Rev. Lett. 91 262001 (2003)
  5. Kalashnikova Yu S, Nefediev A V Phys. Usp. 62 568 (2019); Kalashnikova Yu S, Nefediev A V Usp. Fiz. Nauk 189 603 (2019)
  6. Guo F-K Rev. Mod. Phys. 90 015004 (2018)
  7. Brambilla N Phys. Rep. 873 1 (2020)
  8. Kou E et al Prog. Theor. Exp. Phys. 2019 123C01 (2019)
  9. Zhukova V I et al Phys. Usp. 64 468 (2021); Zhukova V I et al Usp. Fiz. Nauk 191 492 (2021)
  10. Achasov M N et al Phys. Usp. 67 55 (2024); Achasov M N et al Phys. Usp. 194 60 (2024)
  11. Achasov M Front. Phys. 19 14701 (2024)
  12. Flatté S M Phys. Lett. B 63 224 (1976)
  13. Weinberg S Phys. Rev. 137 B672 (1965)
  14. Bogdanova L N, Hale G M, Markushin V E Phys. Rev. C 44 1289 (1991)
  15. Morgan D Nucl. Phys. A 543 632 (1992)
  16. Li Y Phys. Rev. D 105 L071502 (2022)
  17. Albaladejo M, Nieves J Eur. Phys. J. C 82 724 (2022)
  18. Matuschek I et al Eur. Phys. J. A 57 101 (2021)
  19. Aaij R(LHCb Collab.) Nat. Commun. 13 3351 (2022)
  20. Du M-L Phys. Rev. D 105 014024 (2022)
  21. Aaij R(LHCb Collab.) Nat. Phys. 18 751 (2022)
  22. Esposito A Phys. Rev. D 105 L031503 (2022)
  23. Smorodinskii Ya A Dokl. Akad. Nauk SSSR 60 217 (1948)
  24. Smorodinskii Ya A Usp. Fiz. Nauk 39 325 (1949)
  25. Baru V Phys. Lett. B 833 137290 (2022)
  26. Particle Data Group, Zyla P A Prog. Theor. Exp. Phys. 2020 083C01 (2020)
  27. Maiani L, Pilloni A arXiv:2207.05141; Maiani L, Pilloni A Lectures for the School "Frontiers in Nuclear and Hadronic Physics 2022", Galileo Galilei Institute, Florence, Italy, February 21-25, 2022
  28. Kato M Ann. Physics 31 130 (1965)
  29. Hyodo T, Jido D, Hosaka A Phys. Rev. C 85 015201 (2012)
  30. Aceti F, Oset E Phys. Rev. D 86 014012 (2012)
  31. Sekihara T, Hyodo T, Jido D Prog. Theor. Exp. Phys. 2015 063D04 (2015)
  32. Guo Z-H, Oller J A Phys. Rev. D 93 096001 (2016)
  33. Hanhart C, Kalashnikova Yu S, Nefediev A V Eur. Phys. J. A 47 101 (2011)
  34. Baru V Eur. Phys. J. A 23 523 (2005)
  35. Aaij R et al (LHCb Collab.) Phys. Rev. D 102 092005 (2020)
  36. Baru V Phys. Lett. B 586 53 (2004)
  37. Hanhart C, Kalashnikova Yu S, Nefediev A V Phys. Rev. D 81 094028 (2010)
  38. Nauenberg M, Pais A Phys. Rev. 126 360 (1962)
  39. Braaten E, Lu M Phys. Rev. D 76 094028 (2007)
  40. Kalashnikova Yu S, Nefediev A V Phys. Rev. D 80 074004 (2009)
  41. Guo F-K Phys. Rev. Lett. 122 202002 (2019)
  42. Braaten E, He L-P, Ingles K Phys. Rev. D 100 031501 (2019)
  43. Braaten E Phys. Rev. D 101 096020 (2020)
  44. Braaten E Phys. Rev. D 106 034033 (2022)
  45. Achasov N N, Shestakov G N Phys. Rev. D 105 096038 (2022)
© 1918–2024 Uspekhi Fizicheskikh Nauk
Email: ufn@ufn.ru Editorial office contacts About the journal Terms and conditions