High statistics analysis using anisotropic clover lattices. II. Three-baryon systems
- Department of Physics, University of New Hampshire, Durham, New Hampshire 03824-3568 (United States)
- Department of Physics, College of William and Mary, Williamsburg, Virginia 23187-8795 (United States)
- N Division, Lawrence Livermore National Laboratory, Livermore, California 94551 (United States)
- Departament d'Estructura i Constituents de la Materia and Institut de Ciencies del Cosmos, Universitat de Barcelona, E-08028 Barcelona (Spain)
- Department of Physics, University of Washington, Seattle, Washington 98195-1560 (United States)
We present the results of an exploratory lattice QCD calculation of three-baryon systems through a high statistics study of one ensemble of anisotropic clover gauge-field configurations with a pion mass of m{sub {pi}}{approx}390 MeV. Because of the computational cost of the necessary contractions, we focus on correlation functions generated by interpolating operators with the quantum numbers of the {xi}{sup 0}{xi}{sup 0}n system, one of the least demanding three-baryon systems in terms of the number of contractions. We find that the ground state of this system has an energy of E{sub {xi}{sup 0}}{sub {xi}{sup 0}}{sub n}=3877.9{+-}6.9{+-}9.2{+-}3.3 MeV corresponding to an energy shift due to interactions of {delta}E{sub {xi}{sup 0}}{sub {xi}{sup 0}}{sub n}=E{sub {xi}{sup 0}}{sub {xi}{sup 0}}{sub n}-2M{sub {xi}{sup 0}}-M{sub n}=4.6{+-}5.0{+-}7.9{+-}4.2 MeV. There are a significant number of time slices in the three-baryon correlation function for which the signal-to-noise ratio is only slowly degrading with time. This is in contrast to the exponential degradation of the signal-to-noise ratio that is observed at larger times, and is due to the suppressed overlap of the source and sink interpolating operators that are associated with the variance of the three-baryon correlation function onto the lightest eigenstates in the lattice volume (mesonic systems). As one of the motivations for this area of exploration is the calculation of the structure and reactions of light nuclei, we also present initial results for a system with the quantum numbers of the triton (pnn). This present work establishes a path to multibaryon systems, and shows that lattice QCD calculations of the properties and interactions of systems containing four and five baryons are now within sight.
- OSTI ID:
- 21325253
- Journal Information:
- Physical Review. D, Particles Fields, Vol. 80, Issue 7; Other Information: DOI: 10.1103/PhysRevD.80.074501; (c) 2009 The American Physical Society; Country of input: International Atomic Energy Agency (IAEA); ISSN 0556-2821
- Country of Publication:
- United States
- Language:
- English
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