Ground state energy at unitarity
- Department of Physics, North Carolina State University, Raleigh, North Carolina 27695 (United States)
We consider two-component fermions on the lattice in the unitarity limit. This is an idealized limit of attractive fermions where the range of the interaction is zero and the scattering length is infinite. Using Euclidean time projection, we compute the ground state energy using four computationally different but physically identical auxiliary-field methods. The best performance is obtained using a bounded continuous auxiliary field and a nonlocal updating algorithm called the hybrid Monte Carlo. With this method, we calculate results for 10 and 14 fermions at lattice volumes 4{sup 3},5{sup 3},6{sup 3},7{sup 3},8{sup 3} and extrapolate to the continuum limit. For 10 fermions in a periodic cube, the ground state energy is 0.292(12) times the ground state energy for noninteracting fermions. For 14 fermions, the ratio is 0.329(5)
- OSTI ID:
- 21192095
- Journal Information:
- Physical Review. C, Nuclear Physics, Vol. 78, Issue 2; Other Information: DOI: 10.1103/PhysRevC.78.024001; (c) 2008 The American Physical Society; Country of input: International Atomic Energy Agency (IAEA); ISSN 0556-2813
- Country of Publication:
- United States
- Language:
- English
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