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Theoretical Investigation into Production of Double- Lambda Hypernuclei from Stopped Xi super(-) on super(6)Li
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Theoretical Investigation into Production of Double- Lambda Hypernuclei from Stopped Xi super(-) on super(6)Li
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Journal Article
Theoretical Investigation into Production of Double- Lambda Hypernuclei from Stopped Xi super(-) on super(6)Li
2013
Overview
We have investigated theoretically a feasible nuclear reaction to produce light double- Lambda hypernuclei by choosing a suitable target. In the reaction from stopped Xi super(-) on super(6)Li target light doubly-strange nuclei, $${ one fourth _{\\Lambda\\Lambda}{\\rm H}}$$ and $${ similar to _{\\Lambda\\Lambda}{\\rm He}}$$, are produced: we have calculated the formation ratio of $${ one fourth _{\\Lambda\\Lambda}{\\rm H}}$$ to $${ similar to _{\\Lambda\\Lambda}{\\rm He}}$$ for Xi super(-) absorptions from 2S, 2P and 3D orbitals of Xi super(-)- super(6)Li atom by assuming a d- alpha cluster model for super(6)Li. From this cluster model the d- alpha relative wave functions has a node due to Pauli exclusion among nucleons belonging to d and alpha clusters. Two kinds of d- alpha wave functions, namely 1s relative wave function with a phenomenological one-range Gaussian (ORG) potential and that of an orthogonality-condition model (OCM) are used. It is found that the probability of $${ one fourth _{\\Lambda\\Lambda}{\\rm H}}$$ formation is larger than that of $${ similar to _{\\Lambda\\Lambda}{\\rm He}}$$ for all absorption orbitals: in the case of the major 3D absorption their ratio is 1.08 for ORG and 1.96 for OCM. The dominant low momentum component of the d- alpha relative wave function favors the $${ one fourth _{\\Lambda\\Lambda}{\\rm H}}$$ formation with a low Q value compared to the $${ similar to _{\\Lambda\\Lambda}{\\rm He}}$$ formation with a high Q value. We have also calculated momentum distributions of emitted particles, d and n, displaying continuum spectra for single- Lambda hypernuclei, $${ pound sterling _{\\Lambda}{\\rm H}}$$ and $${ one fourth _{\\Lambda}{\\rm He}}$$, and line spectra for the $${ one fourth _{\\Lambda\\Lambda}{\\rm H}}$$ and $${ similar to _{\\Lambda\\Lambda}{\\rm He}}$$ nuclei. Thus, our present theoretical analysis would be a significant contribution to experiments in the strangeness -2 sector of hypernuclear physics.
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