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

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dc.contributor.authorCarlsson, Boris
dc.contributor.departmentChalmers tekniska högskola / Institutionen för fundamental fysiksv
dc.contributor.departmentChalmers University of Technology / Department of Fundamental Physicsen
dc.date.accessioned2019-07-03T13:03:55Z
dc.date.available2019-07-03T13:03:55Z
dc.date.issued2012
dc.description.abstractThe 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.
dc.identifier.urihttps://hdl.handle.net/20.500.12380/166975
dc.language.isoeng
dc.setspec.uppsokPhysicsChemistryMaths
dc.subjectGrundläggande vetenskaper
dc.subjectLågenergifysik
dc.subjectAtomfysik
dc.subjectBeräkningsfysik
dc.subjectBasic Sciences
dc.subjectLow energy physics
dc.subjectAtomic physics
dc.subjectComputational physics
dc.titleThe Similarity Renormalization Group for three bosons in a momentum-space partial-wave basis
dc.type.degreeExamensarbete för masterexamensv
dc.type.degreeMaster Thesisen
dc.type.uppsokH
local.programmeFundamental physics, MSc
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