arXiv subjects

G. Hillhouse

Publications and source records attributed to G. Hillhouse.

2 recordsLinked to original sources

arXiv2008

Core Polarization and Tensor Coupling Effects on Magnetic Moments of Hypernuclei

The effects of core polarization and tensor coupling on the magnetic moments in $^{13}_Λ$C, $^{17}_Λ$O, and $^{41}_Λ$Ca $Λ$-hypernuclei are studied in the Dirac equation with scalar, vector and tensor potentials. It is found that the effect of core polarization on the magnetic moments is suppressed by $Λ$ tensor coupling. The $Λ$ tensor potential reduces the spin-orbit splitting of $p_Λ$ states considerably. However, almost the same magnetic moments are obtained using the hyperon wave function obtained via the Dirac equation either with or without the $Λ$ tensor potential in the electromagnetic current vertex. The deviations of magnetic moments for $p_Λ$ states from the Schmidt values are found to increase with nuclear mass number.

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arXiv2003

Pairing correlations and resonant states in the relativistic mean field theory

We present a simple scheme for taking into account the resonant continuum coupling in the Relativistic Mean Field- BCS (RMF-BCS) calculations. In this scheme, applied before in non-relativistic calculations, the effect of the resonant continuum on pairing correlations is introduced through the scattering wave functions located in the region of the resonant states. These states are found by solving the relativistic mean field equations with scattering-type boundary conditions for continuum spectrum. The calculations are done for the neutron-rich Zr isotopes. It is shown that the sudden increase of the neutron radii close to the neutron drip line, the so-called giant halo, is determined by a few resonant states close to the continuum threshold.

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