Nucleon-nucleon scattering parameters in the limit of SU(3) flavor symmetry
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Beane_Nucleon-nuceon-scattering.pdf
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Author(s)
Beane, S. R.
Chang, E.
Cohen, S. D.
Junnarkar, P.
Lin, H.-W.
Luu, T. C.
Orginos, Kostas
Parreno, A.
Savage, M. J.
Walker-Loud, A.
Date Issued
August 2013
Journal
Physical Review C
Publisher
American Physical Society
Citation
Beane, S. R., E. Chang, S. D. Cohen, W. Detmold, P. Junnarkar, H. W. Lin, T. C. Luu, et al. “Nucleon-nucleon scattering parameters in the limit of SU(3) flavor symmetry.” Physical Review C 88, no. 2 (August 2013). © 2013 American Physical Society
Version
Final published version
Abstract
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 up and down quark masses) at rest and moving in the lattice volume, Lüscher's method is used to determine the low-energy phase shifts in each channel, from which the scattering length and effective range are obtained. The scattering parameters, in the [superscript 1]S[subscript 0] channel are found to be m[subscript π]a([superscript 1]S[subscript 0])=9.50[+0.78 over −0.69][+1.10 over −0.80] and m[subscript π]r([superscript 1]S[subscript 0])=4.61[+0.29 over−0.31][+0.24 over −0.26], and in the [superscript 3]S[subscript 1] channel are m[subscript π]a([superscript 3]S[subscript 1])=7.45+0.57 over −0.53][+0.71 over −0.49] and m[subscript π]r([superscript 3]S[subscript 1])=3.71[+0.28 over −0.31+0.28][+0.28 over −0.35]. These values are consistent with the two-nucleon system exhibiting Wigner's supermultiplet symmetry, which becomes exact in the limit of large N[subscript c]. In both spin channels, the phase shifts change sign at higher momentum, near the start of the t-channel cut, indicating that the nuclear interactions have a repulsive core even at the SU(3)-symmetric point.
MIT Department
Massachusetts Institute of Technology. Department of Physics
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DOI of Published Version
https://doi.org/10.1103/PhysRevC.88.024003
