Universal dimer–dimer scattering in lattice effective field theory

Elhatisari, Serdar; Katterjohn, Kris; Lee, Dean; Meißner, Ulf-G.; Rupak, Gautam

doi:10.1016/j.physletb.2017.03.011

Title: Universal dimer–dimer scattering in lattice effective field theory

Abstract

We consider two-component fermions with short-range 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 zero-range 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:

; Katterjohn, Kris; Lee, Dean; Meißner, Ulf-G.; Rupak, Gautam

Publication Date:: Mon May 01 00:00:00 EDT 2017

Research Org.:: North Carolina State University, Raleigh, NC (United States)

Sponsoring Org.:: USDOE Office of Science (SC)

OSTI Identifier:: 1350151

Alternate Identifier(s):: OSTI ID: 1368179

Grant/Contract Number:: FG02-03ER41260; PHY-1307453; 05P2015; 2017VMA0025

Resource Type:: Published Article

Journal Name:: Physics Letters B

Additional Journal Information:: Journal Name: Physics Letters B Journal Volume: 768 Journal Issue: C; Journal ID: ISSN 0370-2693

Publisher:: Elsevier

Country of Publication:: Netherlands

Language:: English

Subject:: 72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS

Citation Formats


                    Elhatisari, Serdar, Katterjohn, Kris, Lee, Dean, Meißner, Ulf-G., and Rupak, Gautam. Universal dimer–dimer scattering in lattice effective field theory.  Netherlands: N. p., 2017. 
Web.  doi:10.1016/j.physletb.2017.03.011.

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                    Elhatisari, Serdar, Katterjohn, Kris, Lee, Dean, Meißner, Ulf-G., & Rupak, Gautam. Universal dimer–dimer scattering in lattice effective field theory.  Netherlands.  https://doi.org/10.1016/j.physletb.2017.03.011

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                    Elhatisari, Serdar, Katterjohn, Kris, Lee, Dean, Meißner, Ulf-G., and Rupak, Gautam. Mon .  
"Universal dimer–dimer scattering in lattice effective field theory".  Netherlands.  https://doi.org/10.1016/j.physletb.2017.03.011.

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@article{osti_1350151,

  title        = {Universal dimer–dimer scattering in lattice effective field theory},

  author       = {Elhatisari, Serdar and Katterjohn, Kris and Lee, Dean and Meißner, Ulf-G. and Rupak, Gautam},

  abstractNote = {We consider two-component fermions with short-range 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 zero-range 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 B},

  number       = C,

  volume       = 768,

  place        = {Netherlands},

  year         = {Mon May 01 00:00:00 EDT 2017},

  month        = {Mon May 01 00:00:00 EDT 2017}

}

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Works referencing / citing this record:

Modeling the double charge exchange response function for a tetraneutron system
journal, July 2017

Lazauskas, R.; Carbonell, J.; Hiyama, E.
Progress of Theoretical and Experimental Physics, Vol. 2017, Issue 7
DOI: 10.1093/ptep/ptx078

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Title: Universal dimer–dimer scattering in lattice effective field theory

Abstract

Citation Formats

Modeling the double charge exchange response function for a tetraneutron system journal, July 2017

Modeling the double charge exchange response function for a tetraneutron system
journal, July 2017