QCD sum rule calculation of quark-gluon three-body components in the B-meson wave function

We construct a valid definition of the kT-dependent B meson wave function, and then calculate next-to-leading-order corrections. We show that the B meson wave function remains normalizable after taking into account renormalization-group evolution effects, contrary to the observation derived from the collinear factorization theorem.

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B-meson wave function with contributions from three-particle Fock states

Physical Review D ◽

10.1103/physrevd.73.074004 ◽

2006 ◽

Vol 73 (7) ◽

Cited By ~ 27

Author(s):

Tao Huang ◽

Cong-Feng Qiao ◽

Xing-Gang Wu

Keyword(s):

Wave Function ◽

B Meson ◽

Meson Wave Function ◽

Fock States

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HQET sum rules for quark-gluon three-body components in the B meson

10.22323/1.157.0141 ◽

2012 ◽

Author(s):

Kazuhiro Tanaka ◽

Tetsuo Nishikawa

Keyword(s):

B Meson ◽

Sum Rules ◽

Body Components ◽

Three Body

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QCD sum rules for quark–gluon three-body components in the B meson

Nuclear Physics B ◽

10.1016/j.nuclphysb.2013.12.007 ◽

2014 ◽

Vol 879 ◽

pp. 110-142 ◽

Cited By ~ 12

Author(s):

Tetsuo Nishikawa ◽

Kazuhiro Tanaka

Keyword(s):

B Meson ◽

Sum Rules ◽

Qcd Sum Rules ◽

Body Components ◽

Three Body

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A COMPLETE VARIATIONAL WAVE FUNCTION FOR THE GROUND STATE OF 3H AND 3He

Canadian Journal of Physics ◽

10.1139/p66-171 ◽

1966 ◽

Vol 44 (9) ◽

pp. 2095-2110 ◽

Cited By ~ 12

Author(s):

Marcel Banville ◽

P. D. Kunz

Keyword(s):

Wave Function ◽

Coordinate System ◽

Body Wave ◽

Center Of Mass ◽

Minimum Energy ◽

Equal Mass ◽

Radial Coordinate ◽

Orthogonal Functions ◽

Gaussian Shape ◽

Three Body

The three-body wave function for particles of equal mass is expanded in a systematic way by making use of a hyperspherical coordinate system. Apart from the center-of-mass coordinates, three of the variables are the usual Euler angles describing the orientation of the plane defined by the three particles. The other three variables, which describe the shape of the triangle, are represented in terms of a radial coordinate and two angular coordinates. The kinetic energy for these last three coordinates is separable and allows one to expand the three-body wave function in a complete set of orthogonal functions based upon the angular variables. The particular symmetry of the internal part of the wave function under permutations of the three particles is easily represented in terms of the set of functions for one of the angular variables. By choosing a particular set of radial functions one can then obtain the upper limit on the binding energy for the three-body system through the Rayleigh–Ritz variational procedure. The advantage of this particular coordinate system is that all but a few of the variational parameters occur linearly in the wave function, and the minimum energy can be obtained by diagonalizing a small number of the energy matrices. The method is applied to find the lower limit to a standard spin-independent potential of Gaussian shape.

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INTEGRAL TRANSFORM TECHNIQUE FOR MESON WAVE FUNCTIONS

Modern Physics Letters A ◽

10.1142/s0217732396001612 ◽

1996 ◽

Vol 11 (20) ◽

pp. 1611-1626 ◽

Cited By ~ 15

Author(s):

A.P. BAKULEV ◽

S.V. MIKHAILOV

Keyword(s):

Wave Function ◽

Sum Rules ◽

Integral Transform ◽

Wave Functions ◽

Sum Rule ◽

New Approach ◽

Exactly Solvable ◽

The Stability ◽

The Masses ◽

Integral Transform Technique

In a recent paper1 we have proposed a new approach for extracting the wave function of the π-meson φπ(x) and the masses and wave functions of its first resonances from the new QCD sum rules for nondiagonal correlators obtained in Ref. 2. Here, we test our approach using an exactly solvable toy model as illustration. We demonstrate the validity of the method and suggest a pure algebraic procedure for extracting the masses and wave functions relating to the case under investigation. We also explore the stability of the procedure under perturbations of the theoretical part of the sum rule. In application to the pion case, this results not only in the mass and wave function of the first resonance (π′), but also in the estimation of π″-mass.

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Effect of Finite Rotations on Gyroscopic Sensing Devices

Journal of Applied Mechanics ◽

10.1115/1.4011746 ◽

1958 ◽

Vol 25 (2) ◽

pp. 210-213

Author(s):

L. E. Goodman ◽

A. R. Robinson

Keyword(s):

Angular Velocity ◽

Three Dimensional ◽

Time History ◽

Simple Method ◽

Finite Rotations ◽

Actual Solution ◽

History Of ◽

Body Components ◽

Guidance Systems ◽

Three Body

Abstract The well-known noncommutativity of three-dimensional finite rotations has long been a curiosity in mechanics since, in actual solution of dynamical problems, the angular velocity, which is conveniently representable as a vector, plays a more natural role. In modern inertial guidance systems, however, the orientation of a body in space, i.e., a rotation, is of primary engineering interest. In this paper a simple method of determining orientation from the time history of three body components of angular velocity is developed by means of a new theorem in kinematics. As a special case of this theorem it is shown that a gyro subjected to a regime of rotations which returns it to the original space orientation will, in general, produce a residual signal. It will have experienced a nonzero and easily calculated mean angular velocity about its input axis. Some implications of the theorem for the design of inertial guidance systems and for the testing of gyros are discussed.

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