<i>Collision Theory</i>

Goldberger, M. L.; Watson, Kenneth; Weiss, George H.

doi:10.1063/1.3051231

Cited by 526 publications

(403 citation statements)

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“…In the following text we apply the standard sign convention in meson physics [11] for the s wave scattering parameters…”

Section: Introductionmentioning

confidence: 99%

Search for quasi boundηmesons

Machner

2015

J. Phys. G: Nucl. Part. Phys.

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The search for a quasi bound η meson in atomic nuclei is reviewed. This tentative state is studied theoretically as well as experimentally. The theory starts from elastic η nucleon scattering which is derived from production data within some models. From this interaction the η nucleus interaction is derived. Model calculations predict binding energies and widths of the quasi bound state. Another method is to derive the η nucleus interaction from excitation functions of η production experiments. The s wave interaction is extracted from such data via final state interaction theorem. We give the derivation of s wave amplitudes in partial wave expansion and in helicity amplitudes and their relation to observables. Different experiments extracting the final state interaction are discussed as are production experiments. So far only three experiments give evidence for the existence of the quasi bound state: a pion double charge exchange experiment, an effective mass measurement, and a transfer reaction at recoil free kinematics with observation of the decay of the state.

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“…In the following text we apply the standard sign convention in meson physics [11] for the s wave scattering parameters…”

Section: Introductionmentioning

confidence: 99%

Search for quasi boundηmesons

Machner

2015

J. Phys. G: Nucl. Part. Phys.

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“…is assumed [18], where the position of the 1 S 0 virtual state is well fixed at α = 0.1 fm −1 . The final state interaction should not influence higher partial waves and, in order to reduce its effects above about 10 MeV, we take β = 0.5 fm −1 .…”

Section: Final State Interaction Assumptionsmentioning

confidence: 99%

Kaon pair production in proton-proton collisions

Maeda¹,

Hartmann²,

Keshelashvili³

et al. 2008

Phys. Rev. C

105

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The differential and total cross sections for kaon pair production in the pp → ppK + K − reaction have been measured at three beam energies of 2.65, 2.70, and 2.83 GeV using the ANKE magnetic spectrometer at the COSY-Jülich accelerator. These near-threshold data are separated into pairs arising from the decay of the φ-meson and the remainder. For the non-φ selection, the ratio of the differential cross sections in terms of the K − p and K + p invariant masses is strongly peaked towards low masses. This effect can be described quantitatively by using a simple ansatz for the K − p final state interaction, where it is seen that the data are sensitive to the magnitude of an effective K − p scattering length. When allowance is made for a small number of φ events where the K − rescatters from the proton, the φ region is equally well described at all three energies. A very similar phenomenon is discovered in the ratio of the cross sections as functions of the K − pp and K + pp invariant masses and the identical final state interaction model is also very successful here. The world data on the energy dependence of the non-φ total cross section is also reproduced, except possibly for the results closest to threshold.

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“…In order for a Cross-Ramsey experiment to test the Sum Rule, the detectors must respond to angle spreads smaller than the dispersion in the initial beam. But (1) this is not the case in Cross-Ramsey; (2) it is never the case in scattering experiments; and (3) if it were the case in Cross-Ramsey, it is unclear whether the detectors would be detecting momentum at all. (0) Before looking at the Cross-Ramsey experiment, there is one general difficulty with the Glymour program that should be noted.…”

Section: Stanford Universitymentioning

confidence: 99%

“…The wave packet will smear over space and classical limits will no longer be applicable. Goldberger and Watson ( [3]} stress this in their encyclopedic work on scattering theory. Throughout the entire book they consider only near momentum eigenstates for the initial beam, because ''.…”

Section: Stanford Universitymentioning

confidence: 99%

“…under the conditions that permit macroscopic observations, the spreading of the quantum mechanical wave packet is ordinarily quite negligible. In fact the experimental techniques for measuring cross sections assume this to be true, since classical mechanics is conventionally used in calculating orbits in accelerators, through focussing magnets, and so on" ( [3]). …”

Section: Stanford Universitymentioning

confidence: 99%

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The Sum Rule Has not Been Tested

Cartwright

1977

Philos. of Sci.

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Collision Theory

Cited by 526 publications

References 0 publications

Search for quasi boundηmesons

Search for quasi boundηmesons

Kaon pair production in proton-proton collisions

The Sum Rule Has not Been Tested

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