dorsal/arxiv
View SchemaSmall eta-N scattering lengths favour eta-d and eta-alpha states
| Authors | N. G. Kelkar, K. P. Khemchandani, B. K. Jain |
|---|---|
| Categories | |
| ArXiv ID | nucl-th/0606028 |
| URL | https://arxiv.org/abs/nucl-th/0606028 |
| DOI | 10.1088/0954-3899/32/8/007 |
| Journal | J.Phys.G32:1157-1170,2006 |
Abstract
Unstable states of the eta meson and the 3He nucleus predicted using the time delay method were found to be in agreement with a recent claim of eta-mesic 3He states made by the TAPS collaboration. Here, we extend this method to a speculative study of the unstable states occurring in the eta-d and eta-4He elastic scattering. The T-matrix for eta-4He scattering is evaluated within the Finite Rank Approximation (FRA) of few body equations. For the evaluation of time delay in the eta-d case, we use a parameterization of an existing Faddeev calculation and compare the results with those obtained from FRA. With an eta-N scattering length, $a_{\eta N} = (0.42, 0.34)$ fm, we find an eta-d unstable bound state around -16 MeV, within the Faddeev calculation. A similar state within the FRA is found for a low value of $a_{\eta N}$, namely, $a_{\eta N} = (0.28, 0.19)$ fm. The existence of an eta-4He unstable bound state close to threshold is hinted by $a_{\eta N} = (0.28, 0.19)$ fm, but is ruled out by large scattering lengths.
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"abstract": "Unstable states of the eta meson and the 3He nucleus predicted using the time\ndelay method were found to be in agreement with a recent claim of eta-mesic 3He\nstates made by the TAPS collaboration. Here, we extend this method to a\nspeculative study of the unstable states occurring in the eta-d and eta-4He\nelastic scattering. The T-matrix for eta-4He scattering is evaluated within the\nFinite Rank Approximation (FRA) of few body equations. For the evaluation of\ntime delay in the eta-d case, we use a parameterization of an existing Faddeev\ncalculation and compare the results with those obtained from FRA. With an eta-N\nscattering length, $a_{\\eta N} = (0.42, 0.34)$ fm, we find an eta-d unstable\nbound state around -16 MeV, within the Faddeev calculation. A similar state\nwithin the FRA is found for a low value of $a_{\\eta N}$, namely, $a_{\\eta N} =\n(0.28, 0.19)$ fm. The existence of an eta-4He unstable bound state close to\nthreshold is hinted by $a_{\\eta N} = (0.28, 0.19)$ fm, but is ruled out by\nlarge scattering lengths.",
"arxiv_id": "nucl-th/0606028",
"authors": [
"N. G. Kelkar",
"K. P. Khemchandani",
"B. K. Jain"
],
"categories": [
"nucl-th"
],
"doi": "10.1088/0954-3899/32/8/007",
"journal_ref": "J.Phys.G32:1157-1170,2006",
"title": "Small eta-N scattering lengths favour eta-d and eta-alpha states",
"url": "https://arxiv.org/abs/nucl-th/0606028"
},
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