{{ \Lambda}{ \Lambda}{ N} { -} { \Xi} { N}{ N}} S wave resonance
Abstract
We use an existing model of the $ \Lambda\Lambda N - \Xi NN $ three-body system based on two-body separable interactions to study the $ (I,J^P) = (1/2,1/2^+) $ three-body channel. For the $ \Lambda\Lambda $ , $ \Xi N $ , and $ \Lambda\Lambda - \Xi N $ amplitudes, we have constructed separable potentials based on the most recent results of the HAL QCD Collaboration. They are characterized by the existence of a resonance just below or above the $ \Xi N $ threshold in the H-dibaryon channel, $ (i,j^p) = (0,0^+) $ . A three-body resonance appears 2.3 MeV above the $ \Xi d $ threshold. We show that if the $ \Lambda\Lambda - \Xi N $ H-dibaryon channel is not considered, the $ \Lambda\Lambda N - \Xi NN $ S wave resonance disappears. Thus, the possible existence of a $ \Lambda\Lambda N - \Xi NN $ resonance would be sensitive to the $ \Lambda\Lambda - \Xi N $ interaction. The existence or nonexistence of this resonance could be evidenced by measuring, for example, the $ \Xi d $ cross section. * This work has been partially funded by COFAA-IPN (México) and by Ministerio de Ciencia e Innovación and EU FEDER (FPA2016-77177-C2-2-P, PID2019-105439GB-C22, RED2018-102572-T)
- Publication:
-
Chinese Physics C
- Pub Date:
- October 2020
- DOI:
- 10.1088/1674-1137/abab8c
- arXiv:
- arXiv:2006.16567
- Bibcode:
- 2020ChPhC..44j4104G
- Keywords:
-
- baryon-baryon interactions;
- Faddeev equations;
- 21.45.-v;
- 25.10.+s;
- 11.80.Jy;
- Nuclear Theory;
- High Energy Physics - Phenomenology
- E-Print:
- 11 pages, 5 figures. To be published in Chinese Physics C