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**Harvard**

Carlsson, B. (2012) *The Similarity Renormalization Group for three bosons in a momentum-space partial-wave basis*. Göteborg : Chalmers University of Technology

** BibTeX **

@mastersthesis{

Carlsson2012,

author={Carlsson, Boris},

title={The Similarity Renormalization Group for three bosons in a momentum-space partial-wave basis},

abstract={The Similarity Renormalization Group (SRG) flow equation is explored for systems of two and three spinless bosons in a momentum-space partial-wave basis. The two- and three-body binding energies as well as the phaseshifts are used to gauge that the transformation is unitary and to study how well the SRG decouples high- and low-energy physics. I consider four different potentials with different characteristics: Two simplied nucleon potentials and two inter-atomic helium potentials (a soft-core potential and the state-of-the-art LM2M2 potential that is fitted to a wealth of experimental data). An initial three-body force is included for two of these potentials. Even with only two-body terms in the initial hamiltonian, SRG induced many-body forces are shown to arise during the transformation. These induced forces are computed for the three-body system and their evolution is studied as a function of the flow parameter. In all cases the SRG transformed potentials display greatly improved decoupling. This is achieved with a three-body binding-energy deviation of less than 0.1% in all cases except for the soft-core helium potential.
},

publisher={Institutionen för fundamental fysik, Chalmers tekniska högskola},

place={Göteborg},

year={2012},

keywords={Similarity renormalization group, unitary transformation, many-body physics},

note={78},

}

** RefWorks **

RT Generic

SR Electronic

ID 166975

A1 Carlsson, Boris

T1 The Similarity Renormalization Group for three bosons in a momentum-space partial-wave basis

YR 2012

AB The Similarity Renormalization Group (SRG) flow equation is explored for systems of two and three spinless bosons in a momentum-space partial-wave basis. The two- and three-body binding energies as well as the phaseshifts are used to gauge that the transformation is unitary and to study how well the SRG decouples high- and low-energy physics. I consider four different potentials with different characteristics: Two simplied nucleon potentials and two inter-atomic helium potentials (a soft-core potential and the state-of-the-art LM2M2 potential that is fitted to a wealth of experimental data). An initial three-body force is included for two of these potentials. Even with only two-body terms in the initial hamiltonian, SRG induced many-body forces are shown to arise during the transformation. These induced forces are computed for the three-body system and their evolution is studied as a function of the flow parameter. In all cases the SRG transformed potentials display greatly improved decoupling. This is achieved with a three-body binding-energy deviation of less than 0.1% in all cases except for the soft-core helium potential.

PB Institutionen för fundamental fysik, Chalmers tekniska högskola,

LA eng

LK http://publications.lib.chalmers.se/records/fulltext/166975.pdf

OL 30