Speaker
Jaroslava Hrtankova
(N)
Description
We report on our recent study of systems composed solely of $\Lambda(1405)$ (denoted by $\Lambda^*$) baryons [1] in which we test a hypothesis of absolutely stable strange hadronic matter [2]. We employed a broad range of $\Lambda^* \Lambda^*$ interaction strengths compatible with binding energy of 2 $\Lambda^*$ system $B(2 \Lambda^*)=40$ MeV given by the phenomenological energy-independent $\bar{K}N$ interaction model by Yamazaki and Akaishi (YA) [3]. We performed calculations of $\Lambda^*$ few-body systems within the Stochastic Variational Method (SVM) and many-body systems within the Relativistic Mean-Field (RMF) approach. We found that within the RMF calculations the binding energy per $\Lambda^*$, $B/A$, saturates for $A\geq 120$ with values of $B/A$ considerably below 100 MeV, leaving $\Lambda^*$ matter highly unstable against strong decay to $\Lambda$ and $\Sigma$ hyperon aggregates. The central density of $\Lambda^*$ matter is found to saturate as well, at roughly twice nuclear matter density. Moreover, we demonstrate that the YA interaction model [3] fails to reproduce the $K^-$ single-nucleon absorption fractions at rest from bubble chamber experiments [4,5,6].
[1] J. Hrtankova, N. Barnea, E. Friedman, A. Gal, J. Mares, M. Schafer, Phys. Lett. B 785 (2018) 90.
[2] Y. Akaishi, T. Yamazaki, Phys. Lett. B 774 (2017) 522; arXiv:1903.10687 [nucl-th].
[3] T. Yamazaki, Y, Akaishi, Phys. Rev. C 76 (2007) 045201.
[4] H. Davis, et al., Nuovo Cimento 53A (1968) 313.
[5] J.W. Moulder et al., Nucl. Phys. B 35 (1971) 332.
[6] C. Vander Velde-Wilquet et al., Nuovo Cimento 39A (1977) 538.
Primary author
Co-authors
Prof.
Avraham Gal
(Racah Institute of Physics, The Hebrew University, 91904 Jerusalem, Israel)
Prof.
Eliahu Friedman
(Racah Institute of Physics, The Hebrew University, 91904 Jerusalem, Israel)
Dr
Jiri Mares
(Nuclear Physics Institute of the Czech Academy of Sciences, 250 68 Rez, Czech Republic)
Mr
Martin Schaefer
(Nuclear Physics Institute of the Czech Academy of Sciences, 250 68 Rez, Czech Republic)
Dr
Nir Barnea
(Racah Institute of Physics, The Hebrew University, 91904 Jerusalem, Israel)