Influence of the <span class="aps-inline-formula"><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><mrow><msup><mrow><mi>B</mi></mrow><mrow><mo>*</mo></mrow></msup></mrow></math></span> resonance on <span class="aps-inline-formula"><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><mrow><mrow><mover><mrow><mi>B</mi></mrow><mrow><mi>¯</mi></mrow></mover></mrow></mrow><mo>→</mo><mi>π</mi><mi>e</mi><mrow><msub><mover><mrow><mi>ν</mi></mrow><mrow><mi>¯</mi></mrow></mover><mrow><mi>e</mi></mrow></msub></mrow></math></span>

Nathan Isgur; Mark B. Wise

doi:10.1103/PhysRevD.41.151

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Influence of the $B^{*}$ resonance on $\bar{B} \to π e {\bar{ν}}_{e}$

Nathan Isgur

Mark B. Wise

Department of Physics, University of Toronto, Toronto, Canada M5S 1A7

California Institute of Technology, Pasadena, California 91125

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Phys. Rev. D 41, 151 – Published 1 January, 1990

DOI: https://doi.org/10.1103/PhysRevD.41.151

Abstract

In the chiral limit and as $m_{b} \to \infty$ , the decay $\bar{B} \to π^{+} e {\bar{ν}}_{e}$ would be dominated near zero pionic recoil by the effects of the $B^{*}$ resonance. We examine the influence of this mechanism on the $\bar{B} \to Xe {\bar{ν}}_{e}$ electron spectrum in the region near the end point which is important for the determination of the Kobayashi-Maskawa matrix element $V_{ub}$ .

References (12)

M. Kobayashi and T. Maskawa, Prog. Theor. Phys. 49, 652 (1973)
B. Grinstein, M. B. Wise, and N. Isgur, Phys. Rev. Lett. 56, 298 (1986) Reports Nos. Caltech CALT-68-1311 and University of Toronto UTPT-85-37, 1985 (unpublished)
N. Isgur, D. Scora, B. Grinstein, and M. B. Wise, Phys. Rev. D 39, 799 (1989)
M. B. Voloshin and M. A. Shifman, Yad. Fiz. 45, 463 (1987) [Sov. J. Nucl. Phys. 45, 292 (1987)] H. D. Politzer and M. B. Wise, Phys. Lett. B 206, 681 (1988) ibid.208, 504 (1988)
G. P. Lepage and B. A. Thacker, in Field Theory on the Lattice, proceedings of the International Symposium, Seillac, France, 1987, edited by A. Billoire [Nucl. Phys. B, Proc. Suppl. 4 (1988)]
Omitted endnote
A. Le Yaouanc, L.Oliver, O. Péne, and J. C. Raynal, Phys. Rev. D 8, 2223 (1973) ibid.9, 1415 (1974) ibid.11, 1272 (1975) M. Chaichian and R. Kogerler, Ann. Phys. (N.Y.) 124, 61 (1980)
R. Kokoski and N. Isgur, Phys. Rev. D 35, 907 (1987)
S. Godfrey and N. Isgur, Phys. Rev. D 32, 189 (1985)
M. Wirbel, in Prog. Part. Nucl. Phys. 21, 33 (1988)
W. Wirbel, B. Stech, and M. Bauer, Z. Phys. C 29, 637 (1985)
R. Blackenbecler and Y. Nambu, Nuovo Cimento 18, 595 (1960)

[c1] M. Kobayashi and T. Maskawa, Prog. Theor. Phys. 49, 652 (1973)

[c2] B. Grinstein, M. B. Wise, and N. Isgur, Phys. Rev. Lett. 56, 298 (1986) Reports Nos. Caltech CALT-68-1311 and University of Toronto UTPT-85-37, 1985 (unpublished)

[c3] N. Isgur, D. Scora, B. Grinstein, and M. B. Wise, Phys. Rev. D 39, 799 (1989)

[c4] M. B. Voloshin and M. A. Shifman, Yad. Fiz. 45, 463 (1987) [Sov. J. Nucl. Phys. 45, 292 (1987)] H. D. Politzer and M. B. Wise, Phys. Lett. B 206, 681 (1988) ibid.208, 504 (1988)

[c5] G. P. Lepage and B. A. Thacker, in Field Theory on the Lattice, proceedings of the International Symposium, Seillac, France, 1987, edited by A. Billoire [Nucl. Phys. B, Proc. Suppl. 4 (1988)]

[c6] Omitted endnote

[c7] A. Le Yaouanc, L.Oliver, O. Péne, and J. C. Raynal, Phys. Rev. D 8, 2223 (1973) ibid.9, 1415 (1974) ibid.11, 1272 (1975) M. Chaichian and R. Kogerler, Ann. Phys. (N.Y.) 124, 61 (1980)

[c8] R. Kokoski and N. Isgur, Phys. Rev. D 35, 907 (1987)

[c9] S. Godfrey and N. Isgur, Phys. Rev. D 32, 189 (1985)

[c10] M. Wirbel, in Prog. Part. Nucl. Phys. 21, 33 (1988)

[c11] W. Wirbel, B. Stech, and M. Bauer, Z. Phys. C 29, 637 (1985)

[c12] R. Blackenbecler and Y. Nambu, Nuovo Cimento 18, 595 (1960)

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Influence of the $B^{*}$ resonance on $\bar{B} \to π e {\bar{ν}}_{e}$

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Influence of the $B^{*}$ resonance on $\bar{B} \to π e {\bar{ν}}_{e}$