dorsal/arxiv
View SchemaThe Role of $\Delta(1232)$ in Two-pion Exchange Three-nucleon Potential
| Authors | K. Kabir, T. K. Dutta, Muslema Pervin, L. M. Nath |
|---|---|
| Categories | |
| ArXiv ID | nucl-th/9910043 |
| URL | https://arxiv.org/abs/nucl-th/9910043 |
| DOI | 10.1142/S021830130000009X |
| Journal | Int.J.Mod.Phys.E9:157-168,2000 |
Abstract
In this paper we have studied the two-pion exchange three-nucleon potential $(2\pi E-3NP)$ using an approximate $SU(2) \times SU(2)$ chiral symmetry of the strong interaction. The off-shell pion-nucleon scattering amplitudes obtained from the Weinberg Lagangian are supplemented with contributions from the well-known $\sigma$-term and the $\Delta(1232)$ exchange. It is the role of the $\Delta$-resonance in $2\pi E-3NP$, which we have investigated in detail in the framework of the Lagrangian field theory. The $\Delta$-contribution is quite appreciable and, more significantly, it is dependent on a parameter Z which is arbitrary but has the empirical bounds $|Z| \leq 1/2$. We find that the $\Delta$-contribution to the important parameters of the $2\pi E-3NP$ depends on the choice of a value for Z, although the correction to the binding energy of triton is not expected to be very sensitive to the variation of Z within its bounds.
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"abstract": "In this paper we have studied the two-pion exchange three-nucleon potential\n$(2\\pi E-3NP)$ using an approximate $SU(2) \\times SU(2)$ chiral symmetry of the\nstrong interaction. The off-shell pion-nucleon scattering amplitudes obtained\nfrom the Weinberg Lagangian are supplemented with contributions from the\nwell-known $\\sigma$-term and the $\\Delta(1232)$ exchange. It is the role of the\n$\\Delta$-resonance in $2\\pi E-3NP$, which we have investigated in detail in the\nframework of the Lagrangian field theory. The $\\Delta$-contribution is quite\nappreciable and, more significantly, it is dependent on a parameter Z which is\narbitrary but has the empirical bounds $|Z| \\leq 1/2$. We find that the\n$\\Delta$-contribution to the important parameters of the $2\\pi E-3NP$ depends\non the choice of a value for Z, although the correction to the binding energy\nof triton is not expected to be very sensitive to the variation of Z within its\nbounds.",
"arxiv_id": "nucl-th/9910043",
"authors": [
"K. Kabir",
"T. K. Dutta",
"Muslema Pervin",
"L. M. Nath"
],
"categories": [
"nucl-th"
],
"doi": "10.1142/S021830130000009X",
"journal_ref": "Int.J.Mod.Phys.E9:157-168,2000",
"title": "The Role of $\\Delta(1232)$ in Two-pion Exchange Three-nucleon Potential",
"url": "https://arxiv.org/abs/nucl-th/9910043"
},
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