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Variational Constraints of Masses and Radii of c¯c-Mesons |
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PP: 99-103 |
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doi:10.18576/qpl/060204
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Author(s) |
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Jamil Ahmed,
Rahila Manzoor,
Alfredo Raya,
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Abstract |
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| Within the non-relativistic quark model framework, the spectra for c ¯ c-mesons are usually derived through the (numerical)
solution of the Schr¨odinger equation with a given potential for quark-antiquark interactions. Cornell potential plus hyperfine corrections
are popular models with successful predictions of mass spectra of these heavy mesons. We use the Numerov matrix method to obtain
the mass spectra of c ¯ c-mesons with high accuracy. Their (root-mean-squared) radii rrms are then derived through the corresponding
radial wavefunctions. Angular momentum quantum numbers and rrms allow to determine the momentum width for these meson states.
We then relate the masses and rrms for c ¯ c-mesons through constraints arising from the uncertainty and variational principles. These
ideas can be straightforwardly generalized for other meson states. |
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