Two-particle resonance-pole dominance approximations in three-particle scattering

1970 ◽  
Vol 67 (3) ◽  
pp. 523-537 ◽  
Author(s):  
D. Bollé ◽  
K. L. Kowalski
2021 ◽  
Vol 2021 (7) ◽  
Author(s):  
Luke Gayer ◽  
Nicolas Lang ◽  
Sinéad M. Ryan ◽  
David Tims ◽  
Christopher E. Thomas ◽  
...  

Abstract Isospin-1/2 Dπ scattering amplitudes are computed using lattice QCD, working in a single volume of approximately (3.6 fm)3 and with a light quark mass corresponding to mπ ≈ 239 MeV. The spectrum of the elastic Dπ energy region is computed yielding 20 energy levels. Using the Lüscher finite-volume quantisation condition, these energies are translated into constraints on the infinite-volume scattering amplitudes and hence enable us to map out the energy dependence of elastic Dπ scattering. By analytically continuing a range of scattering amplitudes, a $$ {D}_0^{\ast } $$ D 0 ∗ resonance pole is consistently found strongly coupled to the S-wave Dπ channel, with a mass m ≈ 2200 MeV and a width Γ ≈ 400 MeV. Combined with earlier work investigating the $$ {D}_{s0}^{\ast } $$ D s 0 ∗ , and $$ {D}_0^{\ast } $$ D 0 ∗ with heavier light quarks, similar couplings between each of these scalar states and their relevant meson-meson scattering channels are determined. The mass of the $$ {D}_0^{\ast } $$ D 0 ∗ is consistently found well below that of the $$ {D}_{s0}^{\ast } $$ D s 0 ∗ , in contrast to the currently reported experimental result.


2021 ◽  
Vol 321 ◽  
pp. 124460
Author(s):  
Jingbo Qu ◽  
Yong Sun ◽  
Yuyingnan Liu ◽  
Changyu Liu ◽  
Guoxiang Zheng ◽  
...  

2020 ◽  
Vol 2020 (12) ◽  
Author(s):  
D. Chicherin ◽  
V. Sotnikov

Abstract We complete the analytic calculation of the full set of two-loop Feynman integrals required for computation of massless five-particle scattering amplitudes. We employ the method of canonical differential equations to construct a minimal basis set of transcendental functions, pentagon functions, which is sufficient to express all planar and nonplanar massless five-point two-loop Feynman integrals in the whole physical phase space. We find analytic expressions for pentagon functions which are manifestly free of unphysical branch cuts. We present a public library for numerical evaluation of pentagon functions suitable for immediate phenomenological applications.


1971 ◽  
Vol 68 (2) ◽  
pp. 361-376 ◽  
Author(s):  
T.A Osborn ◽  
K.L Kowalski
Keyword(s):  

1971 ◽  
Vol 30 (6) ◽  
pp. 551-559
Author(s):  
OM KAR NATH ◽  
R N. SINGH
Keyword(s):  

Physics ◽  
2014 ◽  
Vol 7 ◽  
Author(s):  
Lance Dixon
Keyword(s):  

1968 ◽  
Vol 174 (5) ◽  
pp. 1786-1793 ◽  
Author(s):  
Stanley G. Brown ◽  
Geoffrey B. West
Keyword(s):  

1978 ◽  
Vol 21 (11-12) ◽  
pp. 1357-1360 ◽  
Author(s):  
Claus F. Klingshirn ◽  
Walter Maier ◽  
Bernd Hönerlage ◽  
Hartmut Haug ◽  
Stephan W. Koch

1997 ◽  
Vol 36 (33) ◽  
pp. 8521
Author(s):  
Hee-Jong Moon ◽  
Guang-Hoon Kim ◽  
Kwang-Hoon Ko ◽  
Jai-Hyung Lee ◽  
Joon-Sung Chang

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