Λ⁎(1405)-matter: Stable or unstable?

J. Hrtánková; N. Barnea; E. Friedman; A. Gal; J. Mareš; M. Schäfer

doi:10.1016/j.physletb.2018.08.031

Λ^⁎(1405)-matter: Stable or unstable?

J. Hrtánková, N. Barnea, E. Friedman, A. Gal^*, J. Mareš, M. Schäfer

^*Corresponding author for this work

Racah Institute of Physics

Research output: Contribution to journal › Article › peer-review

7 Scopus citations

Abstract

A recent suggestion by Akaishi and Yamazaki (2017) [3] that purely-Λ^⁎(1405) nuclei provide the absolute minimum energy in charge-neutral baryon matter for baryon-number A≳8, is tested within RMF calculations. A broad range of Λ^⁎ interaction strengths, commensurate with (K¯K¯NN)_I=0 binding energy assumed to be of order 100 MeV, is scanned. It is found that the binding energy per Λ^⁎, B/A, saturates for A≳120 with values of B/A considerably below 100 MeV, implying that Λ^⁎(1405) matter is highly unstable against strong decay to Λ and Σ hyperon aggregates. The central density of Λ^⁎ matter is found to saturate as well, at roughly twice nuclear matter density. Moreover, it is shown that the underlying very strong K¯N potentials, fitted for isospin I=0 to the mass and width values of Λ^⁎(1405), fail to reproduce values of single-nucleon absorption fractions deduced across the periodic table from K⁻ capture-at-rest bubble chamber experiments.

Original language	American English
Pages (from-to)	90-94
Number of pages	5
Journal	Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics
Volume	785
DOIs	https://doi.org/10.1016/j.physletb.2018.08.031
State	Published - 10 Oct 2018

Bibliographical note

Funding Information:
J.H. and M.S. acknowledge financial support from the CTU-SGS Grant No. SGS16/243/OHK4/3T/14 . The work of N.B. is supported by the Pazy Foundation and by the Israel Science Foundation grant No. 1308/16 .

Publisher Copyright:
© 2018 The Authors

Keywords

Kaonic atoms
RMF
Strange matter
Λ(1405) resonance

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10.1016/j.physletb.2018.08.031

Cite this

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title = "Λ⁎(1405)-matter: Stable or unstable?",

abstract = "A recent suggestion by Akaishi and Yamazaki (2017) [3] that purely-Λ⁎(1405) nuclei provide the absolute minimum energy in charge-neutral baryon matter for baryon-number A≳8, is tested within RMF calculations. A broad range of Λ⁎ interaction strengths, commensurate with (K¯K¯NN)I=0 binding energy assumed to be of order 100 MeV, is scanned. It is found that the binding energy per Λ⁎, B/A, saturates for A≳120 with values of B/A considerably below 100 MeV, implying that Λ⁎(1405) matter is highly unstable against strong decay to Λ and Σ hyperon aggregates. The central density of Λ⁎ matter is found to saturate as well, at roughly twice nuclear matter density. Moreover, it is shown that the underlying very strong K¯N potentials, fitted for isospin I=0 to the mass and width values of Λ⁎(1405), fail to reproduce values of single-nucleon absorption fractions deduced across the periodic table from K− capture-at-rest bubble chamber experiments.",

keywords = "Kaonic atoms, RMF, Strange matter, Λ(1405) resonance",

author = "J. Hrt{\'a}nkov{\'a} and N. Barnea and E. Friedman and A. Gal and J. Mare{\v s} and M. Sch{\"a}fer",

note = "Funding Information: J.H. and M.S. acknowledge financial support from the CTU-SGS Grant No. SGS16/243/OHK4/3T/14 . The work of N.B. is supported by the Pazy Foundation and by the Israel Science Foundation grant No. 1308/16 . Publisher Copyright: {\textcopyright} 2018 The Authors",

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doi = "10.1016/j.physletb.2018.08.031",

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T2 - Stable or unstable?

AU - Hrtánková, J.

AU - Barnea, N.

AU - Friedman, E.

AU - Gal, A.

AU - Mareš, J.

AU - Schäfer, M.

N1 - Funding Information: J.H. and M.S. acknowledge financial support from the CTU-SGS Grant No. SGS16/243/OHK4/3T/14 . The work of N.B. is supported by the Pazy Foundation and by the Israel Science Foundation grant No. 1308/16 . Publisher Copyright: © 2018 The Authors

PY - 2018/10/10

Y1 - 2018/10/10

N2 - A recent suggestion by Akaishi and Yamazaki (2017) [3] that purely-Λ⁎(1405) nuclei provide the absolute minimum energy in charge-neutral baryon matter for baryon-number A≳8, is tested within RMF calculations. A broad range of Λ⁎ interaction strengths, commensurate with (K¯K¯NN)I=0 binding energy assumed to be of order 100 MeV, is scanned. It is found that the binding energy per Λ⁎, B/A, saturates for A≳120 with values of B/A considerably below 100 MeV, implying that Λ⁎(1405) matter is highly unstable against strong decay to Λ and Σ hyperon aggregates. The central density of Λ⁎ matter is found to saturate as well, at roughly twice nuclear matter density. Moreover, it is shown that the underlying very strong K¯N potentials, fitted for isospin I=0 to the mass and width values of Λ⁎(1405), fail to reproduce values of single-nucleon absorption fractions deduced across the periodic table from K− capture-at-rest bubble chamber experiments.

AB - A recent suggestion by Akaishi and Yamazaki (2017) [3] that purely-Λ⁎(1405) nuclei provide the absolute minimum energy in charge-neutral baryon matter for baryon-number A≳8, is tested within RMF calculations. A broad range of Λ⁎ interaction strengths, commensurate with (K¯K¯NN)I=0 binding energy assumed to be of order 100 MeV, is scanned. It is found that the binding energy per Λ⁎, B/A, saturates for A≳120 with values of B/A considerably below 100 MeV, implying that Λ⁎(1405) matter is highly unstable against strong decay to Λ and Σ hyperon aggregates. The central density of Λ⁎ matter is found to saturate as well, at roughly twice nuclear matter density. Moreover, it is shown that the underlying very strong K¯N potentials, fitted for isospin I=0 to the mass and width values of Λ⁎(1405), fail to reproduce values of single-nucleon absorption fractions deduced across the periodic table from K− capture-at-rest bubble chamber experiments.

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