Nucleon-nucleon scattering parameters in the limit of SU(3) flavor symmetry
The scattering lengths and effective ranges that describe low-energy nucleon-nucleon scattering are calculated in the limit of SU(3)-flavor symmetry at the physical strange-quark mass with Lattice Quantum Chromodynamics. The calculations are performed with an isotropic clover discretization of the quark action in three volumes with spatial extents of L ~ 3.4 fm, 4.5 fm and 6.7 fm, and with a lattice spacing of b ~ 0.145 fm. With determinations of the energies of the two-nucleon systems both of which contain bound states at these light-quark masses at rest and moving in the lattice volume, Luscher's method is used to determine the low-energy phase shift in each channel, from which the scattering length and effective range are obtained. The scattering parameters in the {sup 1}S{sub 0} channel are found to be m{sub π}a{sup ({sup 1}S{sub 0})} = 9.51+/-0.74+/-1.00 and m{sub π}r{sup ({sup 1}S{sub 0})} = 4.76+/-0.37+/-0.40, and in the {sup 3}S{sub 1} channel are m{sub π}a{sup ({sup 3}S{sub 1})} = 7.45+/-0.57+/-0.71 and m{sub π}r{sup ({sup 3}S{sub 1})} = 3.71+/-0.28+/-0.28. These values are consistent with the two-nucleon system exhibiting Wigner's supermultiplet symmetry, which becomes exact in the limit of large-N{sub c}.
- 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:
- 1090841
- Report Number(s):
- JLAB-THY-13-1689; DOE/OR/23177-2475; arXiv:1301.5790; PRVCAN
- Journal Information:
- Physical Review. C, Nuclear Physics, Vol. 88, Issue 2; ISSN 0556-2813
- Publisher:
- American Physical Society (APS)
- Country of Publication:
- United States
- Language:
- English
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