<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mi>B</mml:mi></mml:math>Meson and the Decay<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mi>ρ</mml:mi><mml:mo>→</mml:mo><mml:mi>π</mml:mi><mml:mo>+</mml:mo><mml:mi>ω</mml:mi></mml:math>

Parkinson, Michael

doi:10.1103/physrevlett.18.270

Phys. Rev. Lett.

1967

DOI: 10.1103/physrevlett.18.270

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BMeson and the Decayρ→π+ω

Michael Parkinson

Abstract: A consideration of the two-channel problem consisting of 7777 and TTOO in the J p = 1"*, T = 1 state leads to interesting effects in the process 77 + 7r-77 + a). 1 One finds that a peak will occur in the iroo effective mass at 1200-1300 MeV. This is near the observed J3-meson mass. There has been some doubt in the past as to whether the 1220-MeV TTCO bump was a bona fide resonance, due to a variety of ways of producing such a bump kinematically. 2 This paper presents another "kinematic" effect leading to a TTO… Show more

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Cited by 7 publications

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“…The inelastic P-wave scattering may contribute in part to the TJ ~U enhancement (probably apart from the B meson) in the region 1.1-1.3 GeV, as has been suggested by Parkinson,13 or to K pair production. 14 In any event the existence of a resonance, while of great current interest, 15 would have to be verified by observation in an inelastic channel.…”

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confidence: 61%

π−πPhase Shifts in the Region 1.0-1.4 GeV/c2

Oh¹,

Walker²,

Carroll³

et al. 1969

Phys. Rev. Lett.

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find a satisfactory answer to the following question: Should one parametrize the P h S, or perhaps both? Without some actual experience there is no definite answer at present. One reasonable exploratory program would be the following: Choose for S a delta-convergent sequence and parametrize it; then select a set of P f that belong to some well-defined class of geometrical objects; finally optimize the parameters with respect to the primitive function cp p . A very important example of geometrical objects is the class of all hypersurfaces. In particular, the integral of an N-dimensional function F{x) over the hyperplane x l \i l + • • • + x N n N =p is called the Radon transform of F(x). 9 Its general properties and geometrical meaning are well established. 9 Assume now that the x i9 i= 1, • • •, L, refer to the L electron-nucleus separation coordinates in a molecule. Using Eq. (2) we can construct Lcenter molecular orbitals that are completely different from the conventional linear combination of atomic orbitals ones and relate much more closely to the geometry of the molecule. Furthermore, the coalescence of the x t produces a "united-atom" atomic orbital.We have to discuss the questions of symmetry and statistics. The least sophisticated approach is to construct both the primitive function and the shape function in such a way that they are neither symmetry breaking nor statistics violating. Of course, this also imposes certain restrictions on the arguments of the P fm Another method would consist of applying symmetrization (and antisymmetrization) operators as well as the appropriate An enhancement in the rr ~7r + mass spectrum in the di-pion mass region 1.0-1.2 GeV has been reported by Whitehead etal., 1 Miller et al., 2 and projection operators at the end. The relative merits of these alternatives need further investiastion.It has to be emphasized that Eq. (2) is not the most general correlated many-particle trial function one could imagine. First, the t f need not be the scale factors. Second, the P/(f) could be made dependent also on the physical coordinates. (This would relate our functions to the more conventional collective-coordinate approach in nuclear physics. 10 ) Finally, the general delta function we use could be replaced by an arbitrary function of x and f. However, we feel that the formulation we propose combines conceptual simplicity and an appeal to geometrical intuition with the possibility of systematic classification of trial functions and computational practicability.7T7T scattering in the di-pion mass region 1.0-1.4 GeV is analyzed. It is shown that an anomaly of the TT""TT + state in the region 1.0-1.2 GeV is either an 7=0 D-wave amplitude which interferes with a nearly static 1=1 P-wave amplitude or a Breit-Wigner D wave which interferes with a moving P wave (possibly resonant). The/ 0 meson seems to show considerable inelasticity. 331

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mentioning

confidence: 61%

π−πPhase Shifts in the Region 1.0-1.4 GeV/c2

Oh¹,

Walker²,

Carroll³

et al. 1969

Phys. Rev. Lett.

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Poles and Resonances inηPhotoproduction

Deans

Holladay

1967

Phys. Rev.

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Kinematic Effects and theBMeson

Gleeson

1967

Phys. Rev.

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BMeson and the Decayρ→π+ω

Cited by 7 publications

References 13 publications

π−πPhase Shifts in the Region 1.0-1.4 GeV/c2

π−πPhase Shifts in the Region 1.0-1.4 GeV/c2

Poles and Resonances inηPhotoproduction

Kinematic Effects and theBMeson

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