Cluster-Model Study of the T=1 States in A=4 System: 3He+p Scattering

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Abstract
We investigate the properties of 4Li within the framework of a [3He+p]-cluster model, using the generator coordinate method (GCM). Roles of spin-orbit and tensor forces are clarified through the angular momentum dependence of the GCM kernels which is characteristic of these non-central forces. The 3He+p scattering problem is solved by the variational method. Results are compared with available phase-shift analyses and it is found that our calculation agrees with a group of phase-shift solutions which includes Tombrello's solution. This fact indicates the ordering of T=1 negative parity states in the A=4 system to be 2-, 1- (triplet-main), 0- and 1- (singlet-main). The cluster model successfully reproduces the available experimental data including various kinds of polarization measurements. Comparison is made with the 1p-1h harmonic-oscillator shell model. Our results suggest that it is very promising to survey the A=4 system with a [A=3 nucleus+one nucleon]-cluster model.

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