Conjecture: A Possible nnΛ Resonance

Gibson, B. F.; Afnan, I. R.

doi:10.1051/epjconf/201611307003

Title: Conjecture: A Possible nnΛ Resonance

Journal Article · Fri Mar 25 00:00:00 EDT 2016 · EPJ Web of Conferences

DOI:https://doi.org/10.1051/epjconf/201611307003· OSTI ID:1459844

Gibson, B. F. ^[1]; Afnan, I. R. ^[2]

Los Alamos National Lab. (LANL), Los Alamos, NM (United States)
Flinders Univ., Adelaide, SA (Australia). School of Chemical and Physical Sciences

We address the question of whether there might exist a resonance in the nnΛ system, using a rank one separable potential formulation of the Hamiltonian. We explore the eigenvalues of the kernel of the Faddeev equation in the complex energy plane using contour rotation to allow us to analytically continue the kernel onto the second energy sheet. We follow the largest eigenvalue as the nΛ potentials are scaled and the nnΛ continuum is turned into a resonance and then into a bound state of the system.

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Research Organization:: Los Alamos National Lab. (LANL), Los Alamos, NM (United States)

Sponsoring Organization:: USDOE National Nuclear Security Administration (NNSA)

Grant/Contract Number:: AC52-06NA25396

OSTI ID:: 1459844

Report Number(s):: LA-UR-15-24794; TRN: US1901815

Journal Information:: EPJ Web of Conferences, Vol. 113; Conference: 21. International Conference on Few-Body Problems in Physics, Chicago, IL (United States), 18-22 May 2015; ISSN 2100-014X

Publisher:: EDP SciencesCopyright Statement

Country of Publication:: United States

Language:: English

References (6)

Search for evidence of $_{Λ}^{3} n$ by observing $d + π^{-}$ and $t + π^{-}$ final states in the reaction of $^{6}$ Li+ $^{12}$ C at $2 A$ GeV Rappold, C.; Kim, E.; Saito, T. R. Physical Review C, Vol. 88, Issue 4 https://doi.org/10.1103/PhysRevC.88.041001	journal	October 2013
Nonexistence of a $Λ n n$ bound state Garcilazo, H.; Valcarce, A. Physical Review C, Vol. 89, Issue 5 https://doi.org/10.1103/PhysRevC.89.057001	journal	May 2014
Three-body structure of the $n n Λ$ system with $Λ N - Σ N$ coupling Hiyama, E.; Ohnishi, S.; Gibson, B. F. Physical Review C, Vol. 89, Issue 6 https://doi.org/10.1103/PhysRevC.89.061302	journal	June 2014
Resonances in Λ d scattering and the Σ hypertriton Afnan, I. R.; Gibson, B. F. Physical Review C, Vol. 47, Issue 3 https://doi.org/10.1103/PhysRevC.47.1000	journal	March 1993
Baryon-baryon scattering in a one-boson-exchange-potential approach. II. Hyperon-nucleon scattering Nagels, M. M.; Rijken, T. A.; de Swart, J. J. Physical Review D, Vol. 15, Issue 9 https://doi.org/10.1103/PhysRevD.15.2547	journal	May 1977
Is there a bound ${}_{Λ}^{3}n$ ? Gal, Avraham; Garcilazo, Humberto Physics Letters B, Vol. 736 https://doi.org/10.1016/j.physletb.2014.07.009	journal	September 2014

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