Semileptonic decays of <span class="aps-inline-formula"><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><mi>B</mi></math></span> and <span class="aps-inline-formula"><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><mi>D</mi></math></span> mesons in the light-front formalism

W. Jaus

doi:10.1103/PhysRevD.41.3394

Access by Xinjiang University

Semileptonic decays of $B$ and $D$ mesons in the light-front formalism

W. Jaus

Institut für Theoretische Physik der Universität, Schönberggasse 9, CH-8001 Zürich, Switzerland

PDF

Phys. Rev. D 41, 3394 – Published 1 June, 1990

DOI: https://doi.org/10.1103/PhysRevD.41.3394

Abstract

The light-front formalism is used to present a relativistic calculation of form factors for semileptonic $D$ and $B$ decays in the constituent quark model. The quark-antiquark wave functions of the mesons can be obtained, in principle, from an analysis of the meson spectrum, but are approximated in this work by harmonic-oscillator wave functions. The predictions of the model are consistent with the experimental data for $B$ decays. The Kobayashi-Maskawa (KM) matrix element $| V_{cs} |$ is determined by a comparison of the experimental and theoretical rates for $D^{0} \to K^{-} e^{+} ν$ and is consistent with a unitary KM matrix for three families. The predictions for $D \to K^{*}$ transitions are in conflict with the data.

References (23)

Mark II Collaboration, J. Adler et al., Phys. Rev. Lett. 60, 89 (1988) ibid.62, 1821 (1989) Phys. Lett. B 196, 107 (1987)
Tagged Photon Spectrometer Collaboration, J. C. Anjos et al., Phys. Rev. Lett. 62, 125 (1989) ibid.62, 722 (1989) ibid.62, 1587 (1989)
ARGUS Collaboration, H. Albrecht et al., Phys. Lett. B 197, 452 (1987) ibid.229, 175 (1989)
J. M. Cline, W. F. Palmer, and G. Kramer, Phys. Rev. D 40, 793 (1989)
S. Godfrey, Nuovo Cimento 102A, 1 (1989)
S. Godfrey and N. Isgur, Phys. Rev. D 32, 189 (1985)
R. Kokoski and N. Isgur, Phys. Rev. D 35, 907 (1987)
[6]
B. Grinstein, M. B. Wise, and N. Isgur, Phys. Rev. Lett. 56, 298 (1986) N. Isgur, D. Scora, B. Grinstein, and M. B. Wise, Phys. Rev. D 39, 799 (1989)
T. Altomari and L. Wolfenstein, Phys. Rev. D 37, 681 (1988)
M. Wirbel, B. Stech, and M. Bauer, Z. Phys. C 29, 637 (1985) M. Bauer and M. Wirbel, ibid. 42, 671 (1989)
J. G. Körner and G. A. Schuler, Z. Phys. C 38, 511 (1988)
P. A. M. Dirac, Rev. Mod. Phys. 21, 392 (1949)
P. L. Chung, F. Coester, and W. N. Polyzou, Phys. Lett. B 205, 545 (1988)
M. V. Terent'ev, Yad. Fiz. 24, 207 (1976) [Sov. J. Nucl. Phys. 24, 106 (1976)] V. B. Berestetsky and M. V. Terent'ev, Yad. Fiz. 24, 1044 (1976) [Sov. J. Nucl. Phys. 24, 547 (1976)] V. B. BerestetskyM. V. Terent'evYad. Fiz.25, 653 (1977) [Sov. J. Nucl. Phys. 25, 347 (1977)]
G. P. Lepage and S. J. Brodsky, Phys. Rev. D 22, 2157 (1980)
H. Leutwyler and J. Stern, Ann. Phys. (N.Y.) 112, 94 (1978)
P. L. Chung, F. Coester, B. D. Keister, and W. N. Polyzou, Phys. Rev. C 37, 2000 (1988)
B. L. G. Bakker, L. A. Kondratyuk, and M. V. Terent'ev, Nucl. Phys. B158, 497 (1979)
C. Michael and F. P. Payne, Z. Phys. C 12, 145 (1982)
D. Scora and N. Isgur, Phys. Rev. D 40, 1491 (1989)
F. Coester (private communication)
W. Jaus and W. S. Woolcock, Helv. Phys. Acta 57, 644 (1984)

[c1] Mark II Collaboration, J. Adler et al., Phys. Rev. Lett. 60, 89 (1988) ibid.62, 1821 (1989) Phys. Lett. B 196, 107 (1987)

[c2] Tagged Photon Spectrometer Collaboration, J. C. Anjos et al., Phys. Rev. Lett. 62, 125 (1989) ibid.62, 722 (1989) ibid.62, 1587 (1989)

[c3] ARGUS Collaboration, H. Albrecht et al., Phys. Lett. B 197, 452 (1987) ibid.229, 175 (1989)

[c4] J. M. Cline, W. F. Palmer, and G. Kramer, Phys. Rev. D 40, 793 (1989)

[c5] S. Godfrey, Nuovo Cimento 102A, 1 (1989)

[c6] S. Godfrey and N. Isgur, Phys. Rev. D 32, 189 (1985)

[c7] R. Kokoski and N. Isgur, Phys. Rev. D 35, 907 (1987)

[c8] [6]

[c9] B. Grinstein, M. B. Wise, and N. Isgur, Phys. Rev. Lett. 56, 298 (1986) N. Isgur, D. Scora, B. Grinstein, and M. B. Wise, Phys. Rev. D 39, 799 (1989)

[c10] T. Altomari and L. Wolfenstein, Phys. Rev. D 37, 681 (1988)

[c11] M. Wirbel, B. Stech, and M. Bauer, Z. Phys. C 29, 637 (1985) M. Bauer and M. Wirbel, ibid. 42, 671 (1989)

[c12] J. G. Körner and G. A. Schuler, Z. Phys. C 38, 511 (1988)

[c13] P. A. M. Dirac, Rev. Mod. Phys. 21, 392 (1949)

[c14] P. L. Chung, F. Coester, and W. N. Polyzou, Phys. Lett. B 205, 545 (1988)

[c15] M. V. Terent'ev, Yad. Fiz. 24, 207 (1976) [Sov. J. Nucl. Phys. 24, 106 (1976)] V. B. Berestetsky and M. V. Terent'ev, Yad. Fiz. 24, 1044 (1976) [Sov. J. Nucl. Phys. 24, 547 (1976)] V. B. BerestetskyM. V. Terent'evYad. Fiz.25, 653 (1977) [Sov. J. Nucl. Phys. 25, 347 (1977)]

[c16] G. P. Lepage and S. J. Brodsky, Phys. Rev. D 22, 2157 (1980)

[c17] H. Leutwyler and J. Stern, Ann. Phys. (N.Y.) 112, 94 (1978)

[c18] P. L. Chung, F. Coester, B. D. Keister, and W. N. Polyzou, Phys. Rev. C 37, 2000 (1988)

[c19] B. L. G. Bakker, L. A. Kondratyuk, and M. V. Terent'ev, Nucl. Phys. B158, 497 (1979)

[c20] C. Michael and F. P. Payne, Z. Phys. C 12, 145 (1982)

[c21] D. Scora and N. Isgur, Phys. Rev. D 40, 1491 (1989)

[c22] F. Coester (private communication)

[c23] W. Jaus and W. S. Woolcock, Helv. Phys. Acta 57, 644 (1984)

Physical Review D

Export citation

Export citation

Semileptonic decays of $B$ and $D$ mesons in the light-front formalism

Abstract

References (23)

Outline

Information

Filter

Filter

Article Lookup

Enter a citation

Semileptonic decays of B and D mesons in the light-front formalism

Abstract

References (23)

Semileptonic decays of $B$ and $D$ mesons in the light-front formalism