On the possibility of generating a 4-neutron resonance with a {\boldmath $T=3/2$} isospin 3-neutron force

Abstract : We consider the theoretical possibility to generate a narrow resonance in the four neutron system as suggested by a recent experimental result. To that end, a phenomenological $T=3/2$ three neutron force is introduced, in addition to a realistic $NN$ interaction. We inquire what should be the strength of the $3n$ force in order to generate such a resonance. The reliability of the three-neutron force in the $T=3/2$ channel is exmined, by analyzing its consistency with the low-lying $T=1$ states of $^4$H, $^4$He and $^4$Li and the $^3{\rm H} + n$ scattering. The {\it ab initio} solution of the $4n$ Schr\"{o}dinger equation is obtained using the complex scaling method with boundary conditions appropiate to the four-body resonances. We find that in order to generate narrow $4n$ resonant states a remarkably attractive $3N$ force in the $T=3/2$ channel is required.
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Submitted on : Monday, May 9, 2016 - 2:19:55 PM
Last modification on : Thursday, March 15, 2018 - 1:35:22 AM

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E. Hiyama, R. Lazauskas, J. Carbonell, M. Kamimura. On the possibility of generating a 4-neutron resonance with a {\boldmath $T=3/2$} isospin 3-neutron force. Physical Review C, American Physical Society, 2016, 93, pp.044004. ⟨10.1103/PhysRevC.93.044004⟩. ⟨in2p3-01313017⟩

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