192 research outputs found
Stochastic Variational Search for H
A four-body calculation of the bound state, $^{\
4}_{\Lambda\Lambda}NN\Lambda N\Lambda\Lambda\Lambda\Lambda_\Lambda^3{H}+\Lambda\Lambda\LambdaB_{\Lambda\Lambda}(^{6}_{\Lambda\Lambda}{He})d\Lambda\Lambda$ model in the Letter.Comment: Corrected typos, added addtional calculations regarding a truncated
to l=0 interaction model, 4 pages, 3 figure
Three-Cluster Equation Using Two-Cluster RGM Kernel
We propose a new type of three-cluster equation which uses two-cluster
resonating-group-method (RGM) kernels. In this equation, the orthogonality of
the total wave-function to two-cluster Pauli-forbidden states is essential to
eliminate redundant components admixed in the three-cluster systems. The
explicit energy-dependence inherent in the exchange RGM kernel is
self-consistently determined. For bound-state problems, this equation is
straightforwardly transformed to the Faddeev equation which uses a modified
singularity-free T-matrix constructed from the two-cluster RGM kernel. The
approximation of the present three-cluster formalism can be examined with more
complete calculation using the three-cluster RGM. As a simple example, we
discuss three di-neutron (3d') and 3 alpha systems in the harmonic-oscillator
variational calculation. The result of the Faddeev calculation is also
presented for the 3' system.Comment: 12 pages, no figur
Three-body resonances Lambda-n-n and Lambda-Lambda-n
Possible bound and resonant states of the hypernuclear systems
and are sought as zeros of the corresponding three-body Jost
functions calculated within the framework of the hyperspherical approach with
local two-body S-wave potentials describing the , , and
interactions. Very wide near-threshold resonances are found
for both three-body systems. The positions of these resonances turned out to be
sensitive to the choice of the -potential. Bound and
states only appear if the two-body potentials are multiplied
by a factor of .Comment: 12 pages, 5 figures. Acknowledgments are added in the new versio
Ab initio approach to s-shell hypernuclei 3H_Lambda, 4H_Lambda, 4He_Lambda and 5He_Lambda with a Lambda N-Sigma N interaction
Variational calculations for s-shell hypernuclei are performed by explicitly
including degrees of freedom. Four sets of YN interactions (SC97d(S),
SC97e(S), SC97f(S) and SC89(S)) are used. The bound-state solution of
He is obtained and a large energy expectation value of the tensor
transition part is found. The internal energy of the
He subsystem is strongly affected by the presence of a particle
with the strong tensor transition potential.Comment: Phys. Rev. Lett. 89, 142504 (2002
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