dorsal/arxiv
View SchemaDibaryon model for nuclear force and the properties of the $3N$ system
| Authors | V. N. Pomerantsev, V. I. Kukulin, V. T. Voronchev, Amand Faessler |
|---|---|
| Categories | |
| ArXiv ID | nucl-th/0503046 |
| URL | https://arxiv.org/abs/nucl-th/0503046 |
| DOI | 10.1134/1.2053331 |
| Journal | Phys.Atom.Nucl. 68 (2005) 1453-1486; Yad.Fiz. 68 (2005) 1511-1544 |
Abstract
The dibaryon model for $NN$ interaction, which implies the formation of an intermediate six-quark bag dressed by a $\sigma$-field, is applied to the $3N$ system, where it results in a new three-body force of scalar nature between the six-quark bag and a third nucleon. A new multicomponent formalism is developed to describe three-body systems with nonstatic pairwise interactions and non-nucleonic degrees of freedom. Precise variational calculations of $3N$ bound states are carried out in the dressed-bag model including the new scalar three-body force. The unified coupling constants and form factors for $2N$ and $3N$ force operators are used in the present approach, in a sharp contrast to conventional meson-exchange models. It is shown that this three-body force gives at least half the $3N$ total binding energy, while the weight of non-nucleonic components in the $^3$H and $^3$He wavefunctions can exceed 10%. The new force model provides a very good description of $3N$ bound states with a reasonable magnitude of the $\sigma NN$ coupling constant. A new Coulomb $3N$ force between the third nucleon and dibaryon is found to be very important for a correct description of the Coulomb energy and r.m.s. charge radius in $^3$He. In view of the new results for Coulomb displacement energy obtained here for A=3 nuclei, an explanation for the long-term Nolen--Schiffer paradox in nuclear physics is suggested. The role of the charge-symmetry-breaking effects in the nuclear force is discussed.
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"abstract": "The dibaryon model for $NN$ interaction, which implies the formation of an\nintermediate six-quark bag dressed by a $\\sigma$-field, is applied to the $3N$\nsystem, where it results in a new three-body force of scalar nature between the\nsix-quark bag and a third nucleon. A new multicomponent formalism is developed\nto describe three-body systems with nonstatic pairwise interactions and\nnon-nucleonic degrees of freedom. Precise variational calculations of $3N$\nbound states are carried out in the dressed-bag model including the new scalar\nthree-body force. The unified coupling constants and form factors for $2N$ and\n$3N$ force operators are used in the present approach, in a sharp contrast to\nconventional meson-exchange models. It is shown that this three-body force\ngives at least half the $3N$ total binding energy, while the weight of\nnon-nucleonic components in the $^3$H and $^3$He wavefunctions can exceed 10%.\nThe new force model provides a very good description of $3N$ bound states with\na reasonable magnitude of the $\\sigma NN$ coupling constant. A new Coulomb $3N$\nforce between the third nucleon and dibaryon is found to be very important for\na correct description of the Coulomb energy and r.m.s. charge radius in $^3$He.\nIn view of the new results for Coulomb displacement energy obtained here for\nA=3 nuclei, an explanation for the long-term Nolen--Schiffer paradox in nuclear\nphysics is suggested. The role of the charge-symmetry-breaking effects in the\nnuclear force is discussed.",
"arxiv_id": "nucl-th/0503046",
"authors": [
"V. N. Pomerantsev",
"V. I. Kukulin",
"V. T. Voronchev",
"Amand Faessler"
],
"categories": [
"nucl-th"
],
"doi": "10.1134/1.2053331",
"journal_ref": "Phys.Atom.Nucl. 68 (2005) 1453-1486; Yad.Fiz. 68 (2005) 1511-1544",
"title": "Dibaryon model for nuclear force and the properties of the $3N$ system",
"url": "https://arxiv.org/abs/nucl-th/0503046"
},
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