1996
DOI: 10.1103/physrevd.53.4951
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Decay constants and semileptonic decays of heavy mesons in the relativistic quark model

Abstract: We investigate the B and D mesons in the relativistic quark model by applying the variational method with the Gaussian wave function. We calculate the Fermi momentum parameter p F , and obtain p F ϭ0.50Ϫ0.54 GeV, which is almost independent of the input parameters ␣ s , m b , m c , and m sp . We then calculate the ratio f B /f D , and obtain a result which is larger, by a factor of about 1.3, than ͱM D /M B given by the naive nonrelativistic analogy. This result is in a good agreement with the recent lattice c… Show more

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Cited by 26 publications
(24 citation statements)
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References 30 publications
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“…For the mass predictions, the nonrelativistic potential models [2,3,4,5,6,7,8] and the relativistic approaches [10,11]etc.,were successful at the heavy flavour sectors while the Bethe-Salpeter approach under harmonic confinement [9] was successful at low flavour sector. Some potential models have also predicted the masses and various decays of the heavy-heavy mesons which are in fair agreement with the experimental results [12,13,14,15,16,17,18,19,20,22]. A comprehensive review of developments in heavy quarkonium physics is available in ref [23].…”
Section: Introductionsupporting
confidence: 57%
“…For the mass predictions, the nonrelativistic potential models [2,3,4,5,6,7,8] and the relativistic approaches [10,11]etc.,were successful at the heavy flavour sectors while the Bethe-Salpeter approach under harmonic confinement [9] was successful at low flavour sector. Some potential models have also predicted the masses and various decays of the heavy-heavy mesons which are in fair agreement with the experimental results [12,13,14,15,16,17,18,19,20,22]. A comprehensive review of developments in heavy quarkonium physics is available in ref [23].…”
Section: Introductionsupporting
confidence: 57%
“…and the second order gives p 2 = 0.562 GeV 2 , which should be compared with the latest values p F = 0.5 −0.6 GeV calculated in [19] which correspond to p 2 = 0.375 −0.540 GeV 2 .…”
Section: Numerical Analysismentioning
confidence: 52%
“…, and |V ub /V cb |, in which use has been made the Gaussian form for the heavy meson wave function and has been adopted the so-called Cornell potential, the same as ours. [19] They have derived the relation of these physical quantities in terms of the Fermi momentum, p F , introduced in [20] in which p F is related to a heavy quark recoil momentum, p , by…”
Section: Numerical Analysismentioning
confidence: 99%
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“…[11] within a non relativistic version, to continue with different versions of the relativistic quark model applied to the determination of decay constants [12,13,14,15,16,17,18,19,20,21], form factors and differential decay widths [19,21,22,23,24,25,26,27], Isgur-Wise functions [21,28,29,30,31,32,33,34] or strong coupling constants [19,32,35,36,37,38] 1 .…”
Section: +0001mentioning
confidence: 99%