The three nucleon system including one dynamical pion, a one dimensional test case

dc.contributor.authorMelde, Thomasen_US
dc.date.accessioned2007-05-22T15:15:28Z
dc.date.available2007-05-22T15:15:28Z
dc.date.issued2000-10-01T00:00:00Zen_US
dc.degree.disciplinePhysics and Astronomyen_US
dc.degree.levelDoctor of Philosophy (Ph.D.)en_US
dc.description.abstractThe Padova model, describing [pi]'NNN' scattering, is discussed in a new partition notation and a new approximation scheme is proposed. The resulting equations are recast in a standard AGS-form with the inclusion of correction terms to the two-cluster effective potential. These correction terms describe the explicit degree of freedom for one pion. It is shown that one set of correction terms can be interpreted as three-nucleon corrections of the Tucson-Melbourne type. A second set of correction terms is discovered that was previously not included in three-nucleon force calculations. In order to investigate the effect of the correction terms a one-dimensional system is developed that mimics standard two-nucleon physics. The corresponding three-nucleon system is investigated in respect to the 1'D'-triton binding energy. It is demonstrated that the TM-type correction terms depend significantly on an adjustable parameter. The range of the effect on the 1' D'-triton binding energy makes it possible to correct the underbinding discovered in the standard calculation. However, it is also shown that the new type of correction terms has a non-negligible effect on the 1' D'-triton binding energy. Therefore, the adjustment parameter should take this effect into account when gauged to the 1'D'-triton binding energy.en_US
dc.format.extent6889489 bytes
dc.format.extent184 bytes
dc.format.mimetypeapplication/pdf
dc.format.mimetypetext/plain
dc.identifier.urihttp://hdl.handle.net/1993/2077
dc.language.isoengen_US
dc.rightsopen accessen_US
dc.titleThe three nucleon system including one dynamical pion, a one dimensional test caseen_US
dc.typedoctoral thesisen_US
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