dorsal/arxiv
View SchemaThe Operator form of 3H (3He) and its Spin Structure
| Authors | I. Fachruddin, W. Gloeckle, Ch. Elster, A. Nogga |
|---|---|
| Categories | |
| ArXiv ID | nucl-th/0402015 |
| URL | https://arxiv.org/abs/nucl-th/0402015 |
| DOI | 10.1103/PhysRevC.69.064002 |
| Journal | Phys.Rev.C69:064002,2004 |
Abstract
An operator form of the 3N bound state is proposed. It consists of eight operators formed out of scalar products in relative momentum and spin vectors, which are applied on a pure 3N spin 1/2 state. Each of the operators is associated with a scalar function depending only on the magnitudes of the two relative momenta and the angle between them. The connection between the standard partial wave decomposition of the 3N bound state and the operator form is established, and the decomposition of these scalar function in terms of partial wave components and analytically known auxiliary functions is given. That newly established operator form of the 3N bound state exhibits the dominant angular and spin dependence analytically. The scalar functions are tabulated and can be downloaded. As an application the spin dependent nucleon momentum distribution in a polarized 3N bound state is calculated to illustrate the use of the new form of the 3N bound state.
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"abstract": "An operator form of the 3N bound state is proposed. It consists of eight\noperators formed out of scalar products in relative momentum and spin vectors,\nwhich are applied on a pure 3N spin 1/2 state. Each of the operators is\nassociated with a scalar function depending only on the magnitudes of the two\nrelative momenta and the angle between them. The connection between the\nstandard partial wave decomposition of the 3N bound state and the operator form\nis established, and the decomposition of these scalar function in terms of\npartial wave components and analytically known auxiliary functions is given.\nThat newly established operator form of the 3N bound state exhibits the\ndominant angular and spin dependence analytically. The scalar functions are\ntabulated and can be downloaded. As an application the spin dependent nucleon\nmomentum distribution in a polarized 3N bound state is calculated to illustrate\nthe use of the new form of the 3N bound state.",
"arxiv_id": "nucl-th/0402015",
"authors": [
"I. Fachruddin",
"W. Gloeckle",
"Ch. Elster",
"A. Nogga"
],
"categories": [
"nucl-th",
"physics.comp-ph"
],
"doi": "10.1103/PhysRevC.69.064002",
"journal_ref": "Phys.Rev.C69:064002,2004",
"title": "The Operator form of 3H (3He) and its Spin Structure",
"url": "https://arxiv.org/abs/nucl-th/0402015"
},
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