scholarly journals Are two nucleons bound in lattice QCD for heavy quark masses? Consistency check with Lüscher’s finite volume formula

2017 ◽  
Vol 96 (3) ◽  
Author(s):  
Takumi Iritani ◽  
Sinya Aoki ◽  
Takumi Doi ◽  
Tetsuo Hatsuda ◽  
Yoichi Ikeda ◽  
...  
2021 ◽  
Vol 2021 (2) ◽  
Author(s):  
Gavin K. C. Cheung ◽  
◽  
Christopher E. Thomas ◽  
David J. Wilson ◽  
Graham Moir ◽  
...  

Abstract Elastic scattering amplitudes for I = 0 DK and I = 0, 1 $$ D\overline{K} $$ D K ¯ are computed in S, P and D partial waves using lattice QCD with light-quark masses corresponding to mπ = 239 MeV and mπ = 391 MeV. The S-waves contain interesting features including a near-threshold JP = 0+ bound state in I = 0 DK, corresponding to the $$ {D}_{s0}^{\ast } $$ D s 0 ∗ (2317), with an effect that is clearly visible above threshold, and suggestions of a 0+ virtual bound state in I = 0 $$ D\overline{K} $$ D K ¯ . The S-wave I = 1 $$ D\overline{K} $$ D K ¯ amplitude is found to be weakly repulsive. The computed finite-volume spectra also contain a deeply-bound D* vector resonance, but negligibly small P -wave DK interactions are observed in the energy region considered; the P and D-wave $$ D\overline{K} $$ D K ¯ amplitudes are also small. There is some evidence of 1+ and 2+ resonances in I = 0 DK at higher energies.


2003 ◽  
Vol 675 (1-2) ◽  
pp. 309-332 ◽  
Author(s):  
G.M de Divitiis ◽  
M Guagnelli ◽  
F Palombi ◽  
R Petronzio ◽  
N Tantalo

2016 ◽  
Vol 120 ◽  
pp. 07002
Author(s):  
Andrew T. Lytle
Keyword(s):  

2018 ◽  
Vol 175 ◽  
pp. 05006 ◽  
Author(s):  
Sinya Aoki ◽  
Takumi Doi ◽  
Takumi Iritani

The sanity check is to rule out certain classes of obviously false results, not to catch every possible error. After reviewing such a sanity check for NN bound states with the Lüscher’s finite volume formula [1–3], we give further evidences for the operator dependence of plateaux, a symptom of the fake plateau problem, against the claim [4]. We then present our critical comments on [5] by NPLQCD: (i) Operator dependences of plateaux in NPL2013 [6, 7] exist with the P value of 4–5%. (ii) The volume independence of plateaux in NPL2013 does not prove their correctness. (iii) Effective range expansions (EREs) in NPL2013 violate the physical pole condition. (iv) Their comment is partly based on new data and analysis different from the original ones. (v) Their new ERE does not satisfy the Lüscher’s finite volume formula.


1997 ◽  
Vol 12 (22) ◽  
pp. 4029-4038
Author(s):  
James N. Simone

Quarkonia is studied in lattice QCD using Wilson heavy quarks improved to O(a) in the lattice spacing a. The quarkonia spectrum is compared to experiment and provides a check on lattice spacing errors. Careful attention to systematic errors in quarkonia permits determinations of the QCD coupling αs and the heavy quark masses.


2012 ◽  
Vol 85 (1) ◽  
Author(s):  
Debasish Banerjee ◽  
Saumen Datta ◽  
Rajiv Gavai ◽  
Pushan Majumdar

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