dorsal/arxiv
View SchemaLow-energy constants and relativity in peripheral nucleon-nucleon scattering
| Authors | Renato Higa |
|---|---|
| Categories | |
| ArXiv ID | nucl-th/0411046 |
| URL | https://arxiv.org/abs/nucl-th/0411046 |
Abstract
In our recent works we derived a chiral $O(q^4)$ two-pion exchange nucleon-nucleon potential (TPEP) formulated in a relativistic baryon (RB) framework, expressed in terms of the so called low energy constants (LECs) and functions representing covariant loop integrations. We showed that the expansion of these functions in powers of the inverse of the nucleon mass reproduces most of the terms of the TPEP derived from the heavy baryon (HB) formalism, but such an expansion is ill defined and does not converge at large distances. In the present work we perform a study of the phase shifts in nucleon-nucleon ($NN$) scattering for peripheric waves ($L\geq 3$), which are sensitive to the tail of the potential. We assess quantitatively the differences between the RB and HB results, as well as variations due to different values of the LECs. By demanding consistency between the LECs used in $\pi N$ and $NN$ scattering we show how $NN$ peripheral phase shifts could constrain these values. We demonstrate that this idea, first proposed by the Nijmegen group, favors a smaller value for the LEC $c_3$ than the existing ones, when considering the TPEP up to order $q^4$ in the chiral expansion.
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"abstract": "In our recent works we derived a chiral $O(q^4)$ two-pion exchange\nnucleon-nucleon potential (TPEP) formulated in a relativistic baryon (RB)\nframework, expressed in terms of the so called low energy constants (LECs) and\nfunctions representing covariant loop integrations. We showed that the\nexpansion of these functions in powers of the inverse of the nucleon mass\nreproduces most of the terms of the TPEP derived from the heavy baryon (HB)\nformalism, but such an expansion is ill defined and does not converge at large\ndistances. In the present work we perform a study of the phase shifts in\nnucleon-nucleon ($NN$) scattering for peripheric waves ($L\\geq 3$), which are\nsensitive to the tail of the potential. We assess quantitatively the\ndifferences between the RB and HB results, as well as variations due to\ndifferent values of the LECs. By demanding consistency between the LECs used in\n$\\pi N$ and $NN$ scattering we show how $NN$ peripheral phase shifts could\nconstrain these values. We demonstrate that this idea, first proposed by the\nNijmegen group, favors a smaller value for the LEC $c_3$ than the existing\nones, when considering the TPEP up to order $q^4$ in the chiral expansion.",
"arxiv_id": "nucl-th/0411046",
"authors": [
"Renato Higa"
],
"categories": [
"nucl-th"
],
"title": "Low-energy constants and relativity in peripheral nucleon-nucleon scattering",
"url": "https://arxiv.org/abs/nucl-th/0411046"
},
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