Phenomenological analysis of heavy hadron lifetimes
Abstract
A phenomenological analysis of lifetimes of bottom and charmed hadrons within the framework of the heavy quark expansion is performed. The baryon matrix element is evaluated using the bag model and the nonrelativistic quark model. We find that bottombaryon lifetimes follow the pattern {tau}({Omega}{sub b}){approx_equal}{tau}({Xi}{sub b}{sup {minus}}){gt}{tau}({Lambda}{sub b}){approx_equal}{tau}({Xi}{sub b}{sup 0}). However, neither the lifetime ratio {tau}({Lambda}{sub b})/{tau}(B{sub d}) nor the absolute decay rates of the {Lambda}{sub b} baryon and B mesons can be explained. One way of solving both difficulties is to allow the presence of linear 1/m{sub Q} corrections by scaling the inclusive nonleptonic width with the fifth power of the hadron mass m{sub H{sub Q}} rather than the heavy quark mass m{sub Q}. The hierarchy of bottom baryon lifetimes is dramatically modified to {tau}({Lambda}{sub b}){gt}{tau}({Xi}{sub b}{sup {minus}}){gt}{tau}({Xi}{sub b}{sup 0}){gt}{tau}({Omega}{sub b}): The longestlived {Omega}{sub b} among bottom baryons in the OPE prescription now becomes the shortest lived. The replacement of m{sub Q} by m{sub H{sub Q}} in nonleptonic widths is natural and justified in the PQCDbased factorization approach formulated in terms of hadronlevel kinematics. For inclusive charmed baryon decays, we argue that since the heavy quark expansion does not converge, local duality cannot be tested in this case. Wemore »
 Authors:

 Institute of Physics, Academia Sinica, Taipei, Taiwan 115, Republic of (China)
 Publication Date:
 OSTI Identifier:
 538706
 Resource Type:
 Journal Article
 Journal Name:
 Physical Review, D
 Additional Journal Information:
 Journal Volume: 56; Journal Issue: 5; Other Information: PBD: Sep 1997
 Country of Publication:
 United States
 Language:
 English
 Subject:
 66 PHYSICS; B MESONS; LIFETIME; CHARMED BARYONS; CHARMED MESONS; LAMBDA B NEUTRAL BARYONS; LAMBDA BARYONS; CHARM PARTICLES; PERTURBATION THEORY; BEAUTY BARYONS; BAG MODEL; QUARK MODEL; OPERATOR PRODUCT EXPANSION; FACTORIZATION; DUALITY; MASS; SCALING; QUANTUM CHROMODYNAMICS
Citation Formats
Cheng, H. Phenomenological analysis of heavy hadron lifetimes. United States: N. p., 1997.
Web. doi:10.1103/PhysRevD.56.2783.
Cheng, H. Phenomenological analysis of heavy hadron lifetimes. United States. doi:10.1103/PhysRevD.56.2783.
Cheng, H. Mon .
"Phenomenological analysis of heavy hadron lifetimes". United States. doi:10.1103/PhysRevD.56.2783.
@article{osti_538706,
title = {Phenomenological analysis of heavy hadron lifetimes},
author = {Cheng, H},
abstractNote = {A phenomenological analysis of lifetimes of bottom and charmed hadrons within the framework of the heavy quark expansion is performed. The baryon matrix element is evaluated using the bag model and the nonrelativistic quark model. We find that bottombaryon lifetimes follow the pattern {tau}({Omega}{sub b}){approx_equal}{tau}({Xi}{sub b}{sup {minus}}){gt}{tau}({Lambda}{sub b}){approx_equal}{tau}({Xi}{sub b}{sup 0}). However, neither the lifetime ratio {tau}({Lambda}{sub b})/{tau}(B{sub d}) nor the absolute decay rates of the {Lambda}{sub b} baryon and B mesons can be explained. One way of solving both difficulties is to allow the presence of linear 1/m{sub Q} corrections by scaling the inclusive nonleptonic width with the fifth power of the hadron mass m{sub H{sub Q}} rather than the heavy quark mass m{sub Q}. The hierarchy of bottom baryon lifetimes is dramatically modified to {tau}({Lambda}{sub b}){gt}{tau}({Xi}{sub b}{sup {minus}}){gt}{tau}({Xi}{sub b}{sup 0}){gt}{tau}({Omega}{sub b}): The longestlived {Omega}{sub b} among bottom baryons in the OPE prescription now becomes the shortest lived. The replacement of m{sub Q} by m{sub H{sub Q}} in nonleptonic widths is natural and justified in the PQCDbased factorization approach formulated in terms of hadronlevel kinematics. For inclusive charmed baryon decays, we argue that since the heavy quark expansion does not converge, local duality cannot be tested in this case. We show that while the ansatz of substituting the heavy quark mass by the hadron mass provides a much better description of the charmedbaryon lifetime {ital ratios}, it appears unnatural and unpredictive for describing the {ital absolute} inclusive decay rates of charmed baryons, contrary to the bottom case. {copyright} {ital 1997} {ital The American Physical Society}},
doi = {10.1103/PhysRevD.56.2783},
journal = {Physical Review, D},
number = 5,
volume = 56,
place = {United States},
year = {1997},
month = {9}
}