Dynamical microscopic three-cluster description of sup 6 Li

We have implemented a dynamical microscopic {alpha}+{ital p}+{ital n} model for the description of the ground state (g.s.) of {sup 6}Li in an attempt to achieve the perfection of macroscopic {alpha}+{ital p}+{ital n} three-body models. We use a generator-coordinate approach, which includes ({ital pn...

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Veröffentlicht in:Physical review. C, Nuclear physics Nuclear physics, 1992-08, Vol.46:2
Hauptverfasser: Csoto, A., Lovas, R.G.
Format: Artikel
Sprache:eng
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Zusammenfassung:We have implemented a dynamical microscopic {alpha}+{ital p}+{ital n} model for the description of the ground state (g.s.) of {sup 6}Li in an attempt to achieve the perfection of macroscopic {alpha}+{ital p}+{ital n} three-body models. We use a generator-coordinate approach, which includes ({ital pn}){alpha},({alpha}{ital n}){ital p}, and ({alpha}{ital p}){ital n} partitions with all angular-momentum components of any significance. The trial function is constructed out of 0{ital s} and a set of 0{ital s},0{ital p},0{ital d} harmonic-oscillator (h.o). eigenfunctions of the {alpha} intrinsic and of intercluster Jacobi coordinates, respectively, with the generator coordinates being the h.o. size parameters. The effective nucleon-nucleon force used contains tensor and spin-orbit terms. We have determined its parameters by fitting to the properties of the subsystems. We found that the description of the subsystems is less perfect than with central forces, and explained this by the inconsistency of the use of a tensor force with describing the {alpha} g.s. by 0{ital s} oscillator states. The binding of {sup 6}Li with this force was found to be about 1 MeV too weak. After readjusting the force to yield the correct energy, we calculated some properties of {sup 6}Li. The radius obtained is somewhat too large, and the tiny quadrupole moment has the wrong sign. The results for the weights of the components of summed nucleon spin and orbital momentum ({ital S},{ital L})=(1,0), (1,1), (1,2), and (0,1) are 94.6%, 0.2%, 3.9%, and 1.3%, respectively.
ISSN:0556-2813
1089-490X
DOI:10.1103/PhysRevC.46.576