dorsal/arxiv
View SchemaSemileptonic Decays of Heavy Lambda Baryons in a Quark Model
| Authors | Muslema Pervin, Winston Roberts, Simon Capstick |
|---|---|
| Categories | |
| ArXiv ID | nucl-th/0503030 |
| URL | https://arxiv.org/abs/nucl-th/0503030 |
| DOI | 10.1103/PhysRevC.72.035201 |
| Journal | Phys.Rev.C72:035201,2005 |
Abstract
The semileptonic decays of Lambda_c and Lambda_b are treated in the framework of a constituent quark model. Both nonrelativistic and semirelativistic Hamiltonians are used to obtain the baryon wave functions from a fit to the spectra, and the wave functions are expanded in both the harmonic oscillator and Sturmian bases. The latter basis leads to form factors in which the kinematic dependence on q^2 is in the form of multipoles, and the resulting form factors fall faster as a function of q^2 in the available kinematic ranges. As a result, decay rates obtained in the two models using the Sturmian basis are significantly smaller than those obtained using the harmonic oscillator basis. In the case of the Lambda_c, decay rates calculated using the Sturmian basis are closer to the experimentally reported rates. However, we find a semileptonic branching fraction for the Lambda_c to decay to excited Lambda* states of 11% to 19%, in contradiction with what is assumed in available experimental analyses. Our prediction for the Lambda_b semileptonic decays is that decays to the ground state Lambda_c provide a little less than 70% of the total semileptonic decay rate. For the decays Lambda_b to Lambda_c, the analytic form factors we obtain satisfy the relations expected from heavy-quark effective theory at the non-recoil point, at leading and next-to-leading orders in the heavy-quark expansion. In addition, some features of the heavy-quark limit are shown to naturally persist as the mass of the heavy quark in the daughter baryon is decreased.
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"abstract": "The semileptonic decays of Lambda_c and Lambda_b are treated in the framework\nof a constituent quark model. Both nonrelativistic and semirelativistic\nHamiltonians are used to obtain the baryon wave functions from a fit to the\nspectra, and the wave functions are expanded in both the harmonic oscillator\nand Sturmian bases. The latter basis leads to form factors in which the\nkinematic dependence on q^2 is in the form of multipoles, and the resulting\nform factors fall faster as a function of q^2 in the available kinematic\nranges. As a result, decay rates obtained in the two models using the Sturmian\nbasis are significantly smaller than those obtained using the harmonic\noscillator basis. In the case of the Lambda_c, decay rates calculated using the\nSturmian basis are closer to the experimentally reported rates. However, we\nfind a semileptonic branching fraction for the Lambda_c to decay to excited\nLambda* states of 11% to 19%, in contradiction with what is assumed in\navailable experimental analyses. Our prediction for the Lambda_b semileptonic\ndecays is that decays to the ground state Lambda_c provide a little less than\n70% of the total semileptonic decay rate. For the decays Lambda_b to Lambda_c,\nthe analytic form factors we obtain satisfy the relations expected from\nheavy-quark effective theory at the non-recoil point, at leading and\nnext-to-leading orders in the heavy-quark expansion. In addition, some features\nof the heavy-quark limit are shown to naturally persist as the mass of the\nheavy quark in the daughter baryon is decreased.",
"arxiv_id": "nucl-th/0503030",
"authors": [
"Muslema Pervin",
"Winston Roberts",
"Simon Capstick"
],
"categories": [
"nucl-th",
"hep-ph"
],
"doi": "10.1103/PhysRevC.72.035201",
"journal_ref": "Phys.Rev.C72:035201,2005",
"title": "Semileptonic Decays of Heavy Lambda Baryons in a Quark Model",
"url": "https://arxiv.org/abs/nucl-th/0503030"
},
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