dorsal/arxiv
View SchemaComparison of $K^+$ and $e^-$ Quasielastic Scattering
| Authors | J. Piekarewicz, J. R. Shepard |
|---|---|
| Categories | |
| ArXiv ID | nucl-th/9408021 |
| URL | https://arxiv.org/abs/nucl-th/9408021 |
| DOI | 10.1103/PhysRevC.51.806 |
Abstract
We formulate $K^+$-nucleus quasielastic scattering in a manner which closely parallels standard treatments of $e^-$-nucleus quasielastic scattering. For $K^+$ scattering, new responses involving scalar contributions appear in addition to the Coulomb (or longitudinal) and transverse $(e,e')$ responses which are of vector character. We compute these responses using both nuclear matter and finite nucleus versions of the Relativistic Hartree Approximation to Quantum Hadrodynamics including RPA correlations. Overall agreement with measured $(e,e')$ responses and new $K^+$ quasielastic scattering data for $^{40}$Ca at $|\qs|=500$ MeV/c is good. Strong RPA quenching is essential for agreement with the Coulomb response. This quenching is notably less for the $K^+$ cross section even though the new scalar contributions are even more strongly quenched than the vector contributions. We show that this ``differential quenching'' alters sensitive cancellations in the expression for the $K^+$ cross section so that it is reduced much less than the individual responses. We emphasize the role of the purely relativistic distinction between vector and scalar contributions in obtaining an accurate and consistent description of the $(e,e')$ and $K^+$ data within the framework of our nuclear structure model.
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"abstract": "We formulate $K^+$-nucleus quasielastic scattering in a manner which closely\nparallels standard treatments of $e^-$-nucleus quasielastic scattering. For\n$K^+$ scattering, new responses involving scalar contributions appear in\naddition to the Coulomb (or longitudinal) and transverse $(e,e\u0027)$ responses\nwhich are of vector character. We compute these responses using both nuclear\nmatter and finite nucleus versions of the Relativistic Hartree Approximation to\nQuantum Hadrodynamics including RPA correlations. Overall agreement with\nmeasured $(e,e\u0027)$ responses and new $K^+$ quasielastic scattering data for\n$^{40}$Ca at $|\\qs|=500$ MeV/c is good. Strong RPA quenching is essential for\nagreement with the Coulomb response. This quenching is notably less for the\n$K^+$ cross section even though the new scalar contributions are even more\nstrongly quenched than the vector contributions. We show that this\n``differential quenching\u0027\u0027 alters sensitive cancellations in the expression for\nthe $K^+$ cross section so that it is reduced much less than the individual\nresponses. We emphasize the role of the purely relativistic distinction between\nvector and scalar contributions in obtaining an accurate and consistent\ndescription of the $(e,e\u0027)$ and $K^+$ data within the framework of our nuclear\nstructure model.",
"arxiv_id": "nucl-th/9408021",
"authors": [
"J. Piekarewicz",
"J. R. Shepard"
],
"categories": [
"nucl-th"
],
"doi": "10.1103/PhysRevC.51.806",
"title": "Comparison of $K^+$ and $e^-$ Quasielastic Scattering",
"url": "https://arxiv.org/abs/nucl-th/9408021"
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