dorsal/arxiv
View SchemaTheory of parity violation in compound nuclear states; one particle aspects
| Authors | N. Auerbach, V. Spevak |
|---|---|
| Categories | |
| ArXiv ID | nucl-th/9404003 |
| URL | https://arxiv.org/abs/nucl-th/9404003 |
| DOI | 10.1103/PhysRevC.50.1456 |
| Journal | Phys.Rev.C50:1456-1470,1994 |
Abstract
In this work we formulate the reaction theory of parity violation in compound nuclear states using Feshbach's projection operator formalism. We derive in this framework a complete set of terms that contribute to the longitudinal asymmetry measured in experiments with polarized epithermal neutrons. We also discuss the parity violating spreading width resulting from this formalism. We then use the above formalism to derive expressions which hold in the case when the doorway state approximation is introduced. In applying the theory we limit ourselves in this work to the case when the parity violating potential and the strong interaction are one-body. In this approximation, using as the doorway the giant spin-dipole resonance and employing well known optical potentials and a time-reversal even, parity odd one-body interaction we calculate or estimate the terms we derived. In our calculations we explicitly orthogonalize the continuum and bound wave functions. We find the effects of orthogonalization to be very important. Our conclusion is that the present one-body theory cannot explain the average longitudinal asymmetry found in the recent polarized neutron experiments. We also confirm the discrepancy, first pointed out by Auerbach and Bowman, that emerges, between the calculated average asymmetry and the parity violating spreading width, when distant doorways are used in the theory.
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"abstract": "In this work we formulate the reaction theory of parity violation in compound\nnuclear states using Feshbach\u0027s projection operator formalism. We derive in\nthis framework a complete set of terms that contribute to the longitudinal\nasymmetry measured in experiments with polarized epithermal neutrons. We also\ndiscuss the parity violating spreading width resulting from this formalism. We\nthen use the above formalism to derive expressions which hold in the case when\nthe doorway state approximation is introduced. In applying the theory we limit\nourselves in this work to the case when the parity violating potential and the\nstrong interaction are one-body. In this approximation, using as the doorway\nthe giant spin-dipole resonance and employing well known optical potentials and\na time-reversal even, parity odd one-body interaction we calculate or estimate\nthe terms we derived. In our calculations we explicitly orthogonalize the\ncontinuum and bound wave functions. We find the effects of orthogonalization to\nbe very important. Our conclusion is that the present one-body theory cannot\nexplain the average longitudinal asymmetry found in the recent polarized\nneutron experiments. We also confirm the discrepancy, first pointed out by\nAuerbach and Bowman, that emerges, between the calculated average asymmetry and\nthe parity violating spreading width, when distant doorways are used in the\ntheory.",
"arxiv_id": "nucl-th/9404003",
"authors": [
"N. Auerbach",
"V. Spevak"
],
"categories": [
"nucl-th"
],
"doi": "10.1103/PhysRevC.50.1456",
"journal_ref": "Phys.Rev.C50:1456-1470,1994",
"title": "Theory of parity violation in compound nuclear states; one particle aspects",
"url": "https://arxiv.org/abs/nucl-th/9404003"
},
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