Few-body calculations of η-nuclear quasibound states

N. Barnea; E. Friedman; A. Gal

doi:10.1016/j.physletb.2015.06.010

Few-body calculations of η-nuclear quasibound states

N. Barnea, E. Friedman, A. Gal^*

^*Corresponding author for this work

Racah Institute of Physics

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

30 Scopus citations

Abstract

We report on precise hyperspherical-basis calculations of ηNN and ηNNN quasibound states, using energy dependent ηN interaction potentials derived from coupled-channel models of the S₁₁ N^*(1535) nucleon resonance. The ηN attraction generated in these models is too weak to generate a two-body bound state. No ηNN bound-state solution was found in our calculations in models where Rea_ηN≲1 fm, with a_ηN the ηN scattering length, covering thereby the majority of N^*(1535) resonance models. A near-threshold ηNNN bound-state solution, with η separation energy of less than 1 MeV and width of about 15 MeV, was obtained in the 2005 Green-Wycech model where Rea_ηN≈1fm. The role of handling self consistently the subthreshold ηN interaction is carefully studied.

Original language	American English
Pages (from-to)	345-350
Number of pages	6
Journal	Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics
Volume	747
DOIs	https://doi.org/10.1016/j.physletb.2015.06.010
State	Published - 1 Jul 2015

Bibliographical note

Funding Information:
We thank Jiří Mareš for carefully reading this manuscript and making useful remarks. This work was supported in part (N.B.) by the Israel Science Foundation grant 954/09 , and in part (E.F., A.G.) by the EU initiative FP7 , Hadron-Physics3, under the SPHERE and LEANNIS cooperation programs.

Publisher Copyright:
© 2015 The Authors.

Keywords

Few-body systems
Forces in hadronic systems and effective interactions
Mesic nuclei

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10.1016/j.physletb.2015.06.010

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title = "Few-body calculations of η-nuclear quasibound states",

abstract = "We report on precise hyperspherical-basis calculations of ηNN and ηNNN quasibound states, using energy dependent ηN interaction potentials derived from coupled-channel models of the S11 N*(1535) nucleon resonance. The ηN attraction generated in these models is too weak to generate a two-body bound state. No ηNN bound-state solution was found in our calculations in models where ReaηN≲1 fm, with aηN the ηN scattering length, covering thereby the majority of N*(1535) resonance models. A near-threshold ηNNN bound-state solution, with η separation energy of less than 1 MeV and width of about 15 MeV, was obtained in the 2005 Green-Wycech model where ReaηN≈1fm. The role of handling self consistently the subthreshold ηN interaction is carefully studied.",

keywords = "Few-body systems, Forces in hadronic systems and effective interactions, Mesic nuclei",

author = "N. Barnea and E. Friedman and A. Gal",

note = "Funding Information: We thank Ji{\v r}{\'i} Mare{\v s} for carefully reading this manuscript and making useful remarks. This work was supported in part (N.B.) by the Israel Science Foundation grant 954/09 , and in part (E.F., A.G.) by the EU initiative FP7 , Hadron-Physics3, under the SPHERE and LEANNIS cooperation programs. Publisher Copyright: {\textcopyright} 2015 The Authors.",

year = "2015",

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doi = "10.1016/j.physletb.2015.06.010",

language = "American English",

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AU - Barnea, N.

AU - Friedman, E.

AU - Gal, A.

N1 - Funding Information: We thank Jiří Mareš for carefully reading this manuscript and making useful remarks. This work was supported in part (N.B.) by the Israel Science Foundation grant 954/09 , and in part (E.F., A.G.) by the EU initiative FP7 , Hadron-Physics3, under the SPHERE and LEANNIS cooperation programs. Publisher Copyright: © 2015 The Authors.

PY - 2015/7/1

Y1 - 2015/7/1

N2 - We report on precise hyperspherical-basis calculations of ηNN and ηNNN quasibound states, using energy dependent ηN interaction potentials derived from coupled-channel models of the S11 N*(1535) nucleon resonance. The ηN attraction generated in these models is too weak to generate a two-body bound state. No ηNN bound-state solution was found in our calculations in models where ReaηN≲1 fm, with aηN the ηN scattering length, covering thereby the majority of N*(1535) resonance models. A near-threshold ηNNN bound-state solution, with η separation energy of less than 1 MeV and width of about 15 MeV, was obtained in the 2005 Green-Wycech model where ReaηN≈1fm. The role of handling self consistently the subthreshold ηN interaction is carefully studied.

AB - We report on precise hyperspherical-basis calculations of ηNN and ηNNN quasibound states, using energy dependent ηN interaction potentials derived from coupled-channel models of the S11 N*(1535) nucleon resonance. The ηN attraction generated in these models is too weak to generate a two-body bound state. No ηNN bound-state solution was found in our calculations in models where ReaηN≲1 fm, with aηN the ηN scattering length, covering thereby the majority of N*(1535) resonance models. A near-threshold ηNNN bound-state solution, with η separation energy of less than 1 MeV and width of about 15 MeV, was obtained in the 2005 Green-Wycech model where ReaηN≈1fm. The role of handling self consistently the subthreshold ηN interaction is carefully studied.

KW - Few-body systems

KW - Forces in hadronic systems and effective interactions

KW - Mesic nuclei

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M3 - Article

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SN - 0370-2693

VL - 747

SP - 345

EP - 350

JO - Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics

JF - Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics

ER -

Few-body calculations of η-nuclear quasibound states

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