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arXiv · 1304.5480

A Mesonic Analog of the Deuteron

T. Goldman·Richard R. Silbar
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Abstract

Using the LAMP model for nuclear quark structure, we calculate the binding energy and quark structure of a $B$ meson merging with a $D$ meson. The larger-than-nucleon masses of the two heavy quarks allow for a more reliable application of the Born-Oppenheimer-like approximation of the LAMP. With the absence of quark-level Pauli Exclusion Principle repulsive effects, the appearance of a bound state is unsurprising. Our variational calculation shows that the molecular, deuteron-like state structure changes rather abruptly, as the separation between the two mesons decreases, at a separation of about 0.45 fm, into a four-quark bound state, although one maintaining an internal structure rather than that of a four-quark bag. Unlike the deuteron, pion exchange does not provide any contribution to the $\approx 150$ MeV binding.

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T. Goldman, Richard R. Silbar. 2014-01-03. A Mesonic Analog of the Deuteron. https://doi.org/10.1142/s0218301314500918

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