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We consider two bosonic atoms interacting with a short-range potential and trapped in a spherically symmetric harmonic oscillator.
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A clear description of the underlying physics of Feshbach resonance is given in Claude Cohen-Tannoudji Lectures on “Fundamental Concepts for Atomic Gases,” in Lectures on Quantum Gases
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M. Greiner, O. Mandel, T. Esslinger, T. W. Hänsch and I. Bloch, “Quantum phase transition from a superfluid to a Mott insulator in a gas of ultracold atoms,”Nature (London) 415
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For a neutral atom the number of protons in the nucleus equals the number of electrons. So whether the atom as a whole behaves as a boson or fermion is determined by the neutron number being either even or odd. 40
Cited in the paper.
The values given for a a , r 0 r_{0} , and B B are given to two decimals for simplicity. We have taken ℏ 2 / M = 41.5 \hbar^{2}/M=41.5 MeV fm 2 , where an average of the neutron and proton masses have been taken
Cited in the paper.
A more careful treatment would include the small admixture of the d d state in the deuteron due to the non-central tensor force
Cited in the paper.
M. Combescure, A. Khare, A. K. Raina, J.-M Richard, and C. Weydert, “Level arrangements in exotic atoms and quantum dots,” Int. J. Mod. Phys. B 21
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R. K. Bhaduri, M. Seidl, and A. Khare, “An approximate shape-independent relation at Feshbach resonance,” Phys. Lett A 372
2008
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