Quantum Monte Carlo calculations of two neutrons in finite volume
Ab initio calculations provide direct access to the properties of pure neutron systems that are challenging to study experimentally. In addition to their importance for fundamental physics, their properties are required as input for effective field theories of the strong interaction. In this work, we perform auxiliaryfield diffusion Monte Carlo calculations of the ground state and first excited state of two neutrons in a finite box, considering a simple contact potential as well as chiral effective field theory interactions. We compare the results against exact diagonalizations and present a detailed analysis of the finitevolume effects, whose understanding is crucial for determining observables from the calculated energies. Finally, using the Lüscher formula, we extract the lowenergy Swave scattering parameters from ground and excitedstate energies for different box sizes.
 Authors:

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 Technische Univ. Darmstadt, Darmstadt (Germany); GSIHelmholtzzentrum fur Schwerionenforschung, Darmstadt (Germany)
 Univ. of Washington, Seattle, WA (United States)
 Los Alamos National Lab. (LANL), Los Alamos, NM (United States)
 Univ. of Guelph, Guelph, ON (Canada)
 Publication Date:
 Report Number(s):
 LAUR1622057
Journal ID: ISSN 24699985; PRVCAN; TRN: US1701236
 Grant/Contract Number:
 AC5206NA25396; FG0200ER41132; AC0205CH11231
 Type:
 Accepted Manuscript
 Journal Name:
 Physical Review C
 Additional Journal Information:
 Journal Volume: 94; Journal Issue: 5; Journal ID: ISSN 24699985
 Publisher:
 APS
 Research Org:
 Los Alamos National Lab. (LANL), Los Alamos, NM (United States)
 Sponsoring Org:
 USDOE Office of Science (SC). Nuclear Physics (NP) (SC26); USDOE
 Country of Publication:
 United States
 Language:
 English
 Subject:
 73 NUCLEAR PHYSICS AND RADIATION PHYSICS; Atomic and Nuclear Physics
 OSTI Identifier:
 1338806
 Alternate Identifier(s):
 OSTI ID: 1332786
Klos, P., Lynn, J. E., Tews, I., Gandolfi, Stefano, Gezerlis, A., Hammer, H. W., Hoferichter, M., and Schwenk, A.. Quantum Monte Carlo calculations of two neutrons in finite volume. United States: N. p.,
Web. doi:10.1103/PhysRevC.94.054005.
Klos, P., Lynn, J. E., Tews, I., Gandolfi, Stefano, Gezerlis, A., Hammer, H. W., Hoferichter, M., & Schwenk, A.. Quantum Monte Carlo calculations of two neutrons in finite volume. United States. doi:10.1103/PhysRevC.94.054005.
Klos, P., Lynn, J. E., Tews, I., Gandolfi, Stefano, Gezerlis, A., Hammer, H. W., Hoferichter, M., and Schwenk, A.. 2016.
"Quantum Monte Carlo calculations of two neutrons in finite volume". United States.
doi:10.1103/PhysRevC.94.054005. https://www.osti.gov/servlets/purl/1338806.
@article{osti_1338806,
title = {Quantum Monte Carlo calculations of two neutrons in finite volume},
author = {Klos, P. and Lynn, J. E. and Tews, I. and Gandolfi, Stefano and Gezerlis, A. and Hammer, H. W. and Hoferichter, M. and Schwenk, A.},
abstractNote = {Ab initio calculations provide direct access to the properties of pure neutron systems that are challenging to study experimentally. In addition to their importance for fundamental physics, their properties are required as input for effective field theories of the strong interaction. In this work, we perform auxiliaryfield diffusion Monte Carlo calculations of the ground state and first excited state of two neutrons in a finite box, considering a simple contact potential as well as chiral effective field theory interactions. We compare the results against exact diagonalizations and present a detailed analysis of the finitevolume effects, whose understanding is crucial for determining observables from the calculated energies. Finally, using the Lüscher formula, we extract the lowenergy Swave scattering parameters from ground and excitedstate energies for different box sizes.},
doi = {10.1103/PhysRevC.94.054005},
journal = {Physical Review C},
number = 5,
volume = 94,
place = {United States},
year = {2016},
month = {11}
}