The phase-shift of isospin-2 pi-pi scattering from lattice QCD
Finite-volume lattice QCD calculations offer the possibility of extracting resonance parameters from the energy-dependent elastic phase-shift computed using the L\"uscher technique. In this letter, as a trial of the method, we report on the extraction of the non-resonant phase-shift for $$S$$ and $$D$$-wave $$\pi\pi$$ isospin-2 scattering from dynamical lattice QCD computations. We define a variational basis of operators resembling pairs of pions of definite relative momentum and extract a spectrum of excited states that maps to phase-shifts at a set of discrete scattering momenta. Computations are performed with pion masses between $400$ and $520$ MeV on multiple spatial volumes. We observe no significant quark mass dependence in the phase-shifts extracted which are in reasonable agreement with the available experimental data at low momentum.
- Research Organization:
- Thomas Jefferson National Accelerator Facility (TJNAF), Newport News, VA (United States)
- Sponsoring Organization:
- USDOE Office of Science (SC)
- DOE Contract Number:
- AC05-06OR23177
- OSTI ID:
- 1013120
- Report Number(s):
- JLAB-THY-10-1291; DOE/OR/23177-1448; arXiv:1011.6352; PRVDAQ; TRN: US1102407
- Journal Information:
- Phys.Rev.D, Vol. 83, Issue 07; ISSN 1550-7998
- Country of Publication:
- United States
- Language:
- English
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