Universal dimer–dimer scattering in lattice effective field theory
We consider twocomponent fermions with shortrange interactions and large scattering length. This system has universal properties that are realized in several different fields of physics. In the limit of large fermion–fermion scattering length a _{ff} and zerorange interaction, all properties of the system scale proportionally with a _{ff}. For the case with shallow bound dimers, we calculate the dimer–dimer scattering phase shifts using lattice effective field theory. We extract the universal dimer–dimer scattering length a _{dd}/a _{ff}=0.618(30) and effective range r _{dd}/a _{ff}=0.431(48). This result for the effective range is the first calculation with quantified and controlled systematic errors. We also benchmark our methods by computing the fermion–dimer scattering parameters and testing some predictions of conformal scaling of irrelevant operators near the unitarity limit.
 Authors:

^{[1]}
;
^{[2]};
^{[3]};
^{[4]};
^{[2]}
 Univ. of Bonn (Germany). HelmholtzInstitut fur Strahlenund Kernphysik (Theorie) and Bethe Center for Theoretical Physics; Karamanoglu Mehmetbey Univ., Karaman (Turkey). Dept. of Physics
 Mississippi State Univ., Mississippi State, MS (United States). HPC2Center for Computational Sciences, Dept. of Physics & Astronomy
 North Carolina State Univ., Raleigh, NC (United States). Dept. of Physics
 Univ. of Bonn (Germany). HelmholtzInstitut fur Strahlenund Kernphysik (Theorie) and Bethe Center for Theoretical Physics; Forschungszentrum Julich (Germany). Julich Center for Hadron Physics and JARA  High Performance Computing, Inst. for Advanced Simulation, Inst. fur Kernphysik
 Publication Date:
 Grant/Contract Number:
 FG0203ER41260; PHY1307453; 05P2015; 2017VMA0025
 Type:
 Published Article
 Journal Name:
 Physics Letters. Section B
 Additional Journal Information:
 Journal Volume: 768; Journal Issue: C; Journal ID: ISSN 03702693
 Publisher:
 Elsevier
 Research Org:
 North Carolina State Univ., Raleigh, NC (United States)
 Sponsoring Org:
 USDOE Office of Science (SC)
 Country of Publication:
 United States
 Language:
 English
 Subject:
 72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
 OSTI Identifier:
 1350151
 Alternate Identifier(s):
 OSTI ID: 1368179
Elhatisari, Serdar, Katterjohn, Kris, Lee, Dean, Meißner, UlfG., and Rupak, Gautam. Universal dimer–dimer scattering in lattice effective field theory. United States: N. p.,
Web. doi:10.1016/j.physletb.2017.03.011.
Elhatisari, Serdar, Katterjohn, Kris, Lee, Dean, Meißner, UlfG., & Rupak, Gautam. Universal dimer–dimer scattering in lattice effective field theory. United States. doi:10.1016/j.physletb.2017.03.011.
Elhatisari, Serdar, Katterjohn, Kris, Lee, Dean, Meißner, UlfG., and Rupak, Gautam. 2017.
"Universal dimer–dimer scattering in lattice effective field theory". United States.
doi:10.1016/j.physletb.2017.03.011.
@article{osti_1350151,
title = {Universal dimer–dimer scattering in lattice effective field theory},
author = {Elhatisari, Serdar and Katterjohn, Kris and Lee, Dean and Meißner, UlfG. and Rupak, Gautam},
abstractNote = {We consider twocomponent fermions with shortrange interactions and large scattering length. This system has universal properties that are realized in several different fields of physics. In the limit of large fermion–fermion scattering length aff and zerorange interaction, all properties of the system scale proportionally with aff. For the case with shallow bound dimers, we calculate the dimer–dimer scattering phase shifts using lattice effective field theory. We extract the universal dimer–dimer scattering length add/aff=0.618(30) and effective range rdd/aff=0.431(48). This result for the effective range is the first calculation with quantified and controlled systematic errors. We also benchmark our methods by computing the fermion–dimer scattering parameters and testing some predictions of conformal scaling of irrelevant operators near the unitarity limit.},
doi = {10.1016/j.physletb.2017.03.011},
journal = {Physics Letters. Section B},
number = C,
volume = 768,
place = {United States},
year = {2017},
month = {3}
}