Decay constants and semileptonic decays of heavy mesons in the relativistic quark model

Dae Sung Hwang, C. S. Kim, Namgung Wuk

Research output: Contribution to journalArticle

30 Citations (Scopus)

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 pF, and obtain pF=0.50-0.54 GeV, which is almost independent of the input parameters αs, mb, mc, and msp. We then calculate the ratio fB/fD, and obtain a result which is larger, by a factor of about 1.3, than √MD/mB given by the naive nonrelativistic analogy. This result is in a good agreement with the recent lattice calculations. We also calculate the ratio (MB*-MB)/(MD*-MD). In these calculations the wave function at the origin ψ(0) is essential. We also determine pF by comparing the theoretical prediction of the ACCMM model with the lepton energy spectrum of B→eνX from the recent ARGUS analysis, and find that (formula presented) GeV, when we use (formula presented)=1.5 GeV. However, this experimentally determined value of pF is strongly dependent on the value of the input parameter mc.

Original languageEnglish
Pages (from-to)4951-4956
Number of pages6
JournalPhysical Review D - Particles, Fields, Gravitation and Cosmology
Volume53
Issue number9
DOIs
Publication statusPublished - 1996 Jan 1

Fingerprint

quark models
mesons
decay
wave functions
leptons
energy spectra
momentum
predictions

All Science Journal Classification (ASJC) codes

  • Nuclear and High Energy Physics
  • Physics and Astronomy (miscellaneous)

Cite this

@article{1240153426b74464b4cafa3d67145cb3,
title = "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 pF, and obtain pF=0.50-0.54 GeV, which is almost independent of the input parameters αs, mb, mc, and msp. We then calculate the ratio fB/fD, and obtain a result which is larger, by a factor of about 1.3, than √MD/mB given by the naive nonrelativistic analogy. This result is in a good agreement with the recent lattice calculations. We also calculate the ratio (MB*-MB)/(MD*-MD). In these calculations the wave function at the origin ψ(0) is essential. We also determine pF by comparing the theoretical prediction of the ACCMM model with the lepton energy spectrum of B→eνX from the recent ARGUS analysis, and find that (formula presented) GeV, when we use (formula presented)=1.5 GeV. However, this experimentally determined value of pF is strongly dependent on the value of the input parameter mc.",
author = "Hwang, {Dae Sung} and Kim, {C. S.} and Namgung Wuk",
year = "1996",
month = "1",
day = "1",
doi = "10.1103/PhysRevD.53.4951",
language = "English",
volume = "53",
pages = "4951--4956",
journal = "Physical Review D - Particles, Fields, Gravitation and Cosmology",
issn = "1550-7998",
number = "9",

}

Decay constants and semileptonic decays of heavy mesons in the relativistic quark model. / Hwang, Dae Sung; Kim, C. S.; Wuk, Namgung.

In: Physical Review D - Particles, Fields, Gravitation and Cosmology, Vol. 53, No. 9, 01.01.1996, p. 4951-4956.

Research output: Contribution to journalArticle

TY - JOUR

T1 - Decay constants and semileptonic decays of heavy mesons in the relativistic quark model

AU - Hwang, Dae Sung

AU - Kim, C. S.

AU - Wuk, Namgung

PY - 1996/1/1

Y1 - 1996/1/1

N2 - 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 pF, and obtain pF=0.50-0.54 GeV, which is almost independent of the input parameters αs, mb, mc, and msp. We then calculate the ratio fB/fD, and obtain a result which is larger, by a factor of about 1.3, than √MD/mB given by the naive nonrelativistic analogy. This result is in a good agreement with the recent lattice calculations. We also calculate the ratio (MB*-MB)/(MD*-MD). In these calculations the wave function at the origin ψ(0) is essential. We also determine pF by comparing the theoretical prediction of the ACCMM model with the lepton energy spectrum of B→eνX from the recent ARGUS analysis, and find that (formula presented) GeV, when we use (formula presented)=1.5 GeV. However, this experimentally determined value of pF is strongly dependent on the value of the input parameter mc.

AB - 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 pF, and obtain pF=0.50-0.54 GeV, which is almost independent of the input parameters αs, mb, mc, and msp. We then calculate the ratio fB/fD, and obtain a result which is larger, by a factor of about 1.3, than √MD/mB given by the naive nonrelativistic analogy. This result is in a good agreement with the recent lattice calculations. We also calculate the ratio (MB*-MB)/(MD*-MD). In these calculations the wave function at the origin ψ(0) is essential. We also determine pF by comparing the theoretical prediction of the ACCMM model with the lepton energy spectrum of B→eνX from the recent ARGUS analysis, and find that (formula presented) GeV, when we use (formula presented)=1.5 GeV. However, this experimentally determined value of pF is strongly dependent on the value of the input parameter mc.

UR - http://www.scopus.com/inward/record.url?scp=0043172343&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0043172343&partnerID=8YFLogxK

U2 - 10.1103/PhysRevD.53.4951

DO - 10.1103/PhysRevD.53.4951

M3 - Article

AN - SCOPUS:0043172343

VL - 53

SP - 4951

EP - 4956

JO - Physical Review D - Particles, Fields, Gravitation and Cosmology

JF - Physical Review D - Particles, Fields, Gravitation and Cosmology

SN - 1550-7998

IS - 9

ER -