Abstract
Abstract
We present a general method for deriving the energy shift of an interacting system of N spinless particles in a finite volume. To this end, we use the nonrelativistic effective field theory (NREFT), and match the pertinent low-energy constants to the scattering amplitudes. Relativistic corrections are explicitly included up to a given order in the 1/L expansion. We apply this method to obtain the ground state of N particles, and the first excited state of two and three particles to order L−6 in terms of the threshold parameters of the two- and three-particle relativistic scattering amplitudes. We use these expressions to analyze the N-particle ground state energy shift in the complex φ4 theory.
Publisher
Springer Science and Business Media LLC
Subject
Nuclear and High Energy Physics
Reference70 articles.
1. S.R. Beane, W. Detmold, T.C. Luu, K. Orginos, M.J. Savage and A. Torok, Multi-Pion Systems in Lattice QCD and the Three-Pion Interaction, Phys. Rev. Lett. 100 (2008) 082004 [arXiv:0710.1827] [INSPIRE].
2. B. Hörz and A. Hanlon, Two- and three-pion finite-volume spectra at maximal isospin from lattice QCD, Phys. Rev. Lett. 123 (2019) 142002 [arXiv:1905.04277] [INSPIRE].
3. C. Culver, M. Mai, R. Brett, A. Alexandru and M. Döring, Three pion spectrum in the I = 3 channel from lattice QCD, Phys. Rev. D 101 (2020) 114507 [arXiv:1911.09047] [INSPIRE].
4. M. Fischer, B. Kostrzewa, L. Liu, F. Romero-López, M. Ueding and C. Urbach, Scattering of two and three physical pions at maximal isospin from lattice QCD, arXiv:2008.03035 [INSPIRE].
5. T.D. Blanton, F. Romero-López and S.R. Sharpe, I = 3 Three-Pion Scattering Amplitude from Lattice QCD, Phys. Rev. Lett. 124 (2020) 032001 [arXiv:1909.02973] [INSPIRE].
Cited by
28 articles.
订阅此论文施引文献
订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献