Chow, ChiKeung and Pirjol, Dan (1996) More conservation laws and sum rules in the heavy quark limit. Physical Review D, 53 (7). pp. 39984005. ISSN 05562821. http://resolver.caltech.edu/CaltechAUTHORS:CHOprd96b

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Abstract
This is the continuation of a previous article in which the Bjorken and Voloshin sum rules were interpreted as statements of conservation of probability and energy. Here the formalism is extended to higher moments of the Hamiltonian operator. From the conservation of the second moment of the Hamiltonian operator one can derive a sum rule which, in the small velocity limit, reduces to the BigiGrozinShifmanUraltsevVainshtein sum rule. On the other hand, the conservation of the third moment of the Hamiltonian operator gives a new sum rule, which is related to the matrix element of the heavy quark counterpart of the Darwin term in atomic physics. This sum rule allows a modelindependent estimate of this matrix element, with results in good agreement with those obtained from the factorization approximation. The general case of the higher order moments is also discussed.
Item Type:  Article 

Additional Information:  ©1996 The American Physical Society. (Received 11 September 1995; revised manuscript received 7 November 1995) C.K.C. would like to thank Mark Wise for valuable discussions. His work was supported by the U.S. Department of Energy under Grant No. DEFG0392ER 40701. D.P. is grateful to Arkady Vainshtein for an interesting conversation, and acknowledges a grant from the Deutsche Forschungsgemeinschaft (DPG). We thank Nikolai Uraltsev for clarifying discussions. 
Subject Keywords:  MESON DECAYS 
Record Number:  CaltechAUTHORS:CHOprd96b 
Persistent URL:  http://resolver.caltech.edu/CaltechAUTHORS:CHOprd96b 
Alternative URL:  http://dx.doi.org/10.1103/PhysRevD.53.3998 
Usage Policy:  No commercial reproduction, distribution, display or performance rights in this work are provided. 
ID Code:  4249 
Collection:  CaltechAUTHORS 
Deposited By:  Tony Diaz 
Deposited On:  09 Aug 2006 
Last Modified:  26 Dec 2012 08:58 
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