Search for the Lightest Double- $$\Lambda $$ Λ Hypernucleus, $${ _{\varvec{\Lambda }\varvec{\Lambda }}^{\varvec{5}}}$$ Λ Λ 5 H, at J-PARC
2021
Investigations of double-
$$\Lambda $$
hypernuclei, which contain two $$\Lambda $$
hyperons in a nucleus, provide valuable information on baryon–baryon interaction in the strangeness $$-2$$
sector, such as the $$\Lambda $$
–
$$\Lambda $$
interaction. Whereas several double-
$$\Lambda $$
hypernuclei have been discovered in nuclear-emulsion experiments, an experimental observation of $${}_{\Lambda \Lambda }^{5}$$
H is awaited. It is not only because $$_{\Lambda \Lambda }^{5}$$
H is theoretically expected to be the lightest bound state, but also because $$\Lambda \Lambda $$
–
$$\Xi N$$
coupling may play an important role in its structure. On the other hand, the coupling effect may be suppressed in $$_{\Lambda \Lambda }^{6}{\mathrm {He}}$$
.We propose an experiment to investigate $$_{\Lambda \Lambda }^{5}$$
H at J-PARC. $$_{\Lambda \Lambda }^{5}$$
H will be produced by a decay of a $$\Xi $$
hypernucleus, $$_\Xi ^{7}$$
H, which can be produced by the $$^7\mathrm {Li}(K^-,K^+)$$
reaction. The mass of $$_{\Lambda \Lambda }^{5}$$
H will be determined by means of decay pion spectroscopy; it can be calculated from the measured momentum of decay pions, owing to a two-body decay of $$_{\Lambda \Lambda }^{5}$$
H.
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