dorsal/arxiv
View SchemaA relativistic two-nucleon model for $A(p,K^+){_\Lambda}B$ reaction
| Authors | R. Shyam, H. Lenske, U. Mosel |
|---|---|
| Categories | |
| ArXiv ID | nucl-th/0505043 |
| URL | https://arxiv.org/abs/nucl-th/0505043 |
| DOI | 10.1016/j.nuclphysa.2005.09.015 |
| Journal | Nucl.Phys. A764 (2006) 313-337 |
Abstract
We investigate the $A(p,K^+){_\Lambda}B$ reaction within a covariant two nucleon model. We focus on amplitudes which are described by creation, propagation and decay into relevant channel of $N^*$(1650), $N^*$(1710), and $N^*$(1720) intermediate baryonic resonance states in the initial collision of the projectile nucleon with one of its target counterparts. This collision is modeled by the exchange of $\pi$ as well as $\rho$ and $\omega$ mesons. The bound state nucleon and hyperon wave functions are obtained by solving the Dirac equation with appropriate scalar and vector potentials. Expressions for the reaction amplitudes are derived taking continuum particle wave functions in both distorted wave and plane wave approximations. Detailed numerical results are presented in the plane wave approximation; estimates of the effects of the initial and final state interactions are given in the eikonal approximation. Cross sections of 1 - 2 nb/sr at the peak positions, are obtained for favored transitions in case of heavier targets.
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"abstract": "We investigate the $A(p,K^+){_\\Lambda}B$ reaction within a covariant two\nnucleon model. We focus on amplitudes which are described by creation,\npropagation and decay into relevant channel of $N^*$(1650), $N^*$(1710), and\n$N^*$(1720) intermediate baryonic resonance states in the initial collision of\nthe projectile nucleon with one of its target counterparts. This collision is\nmodeled by the exchange of $\\pi$ as well as $\\rho$ and $\\omega$ mesons. The\nbound state nucleon and hyperon wave functions are obtained by solving the\nDirac equation with appropriate scalar and vector potentials. Expressions for\nthe reaction amplitudes are derived taking continuum particle wave functions in\nboth distorted wave and plane wave approximations. Detailed numerical results\nare presented in the plane wave approximation; estimates of the effects of the\ninitial and final state interactions are given in the eikonal approximation.\nCross sections of 1 - 2 nb/sr at the peak positions, are obtained for favored\ntransitions in case of heavier targets.",
"arxiv_id": "nucl-th/0505043",
"authors": [
"R. Shyam",
"H. Lenske",
"U. Mosel"
],
"categories": [
"nucl-th",
"hep-ph",
"nucl-ex"
],
"doi": "10.1016/j.nuclphysa.2005.09.015",
"journal_ref": "Nucl.Phys. A764 (2006) 313-337",
"title": "A relativistic two-nucleon model for $A(p,K^+){_\\Lambda}B$ reaction",
"url": "https://arxiv.org/abs/nucl-th/0505043"
},
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