Search for<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mi>ϕ</mml:mi></mml:math>-Meson Production in 3.7-GeV/<i>c</i><mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mrow><mml:msup><mml:mrow><mml:mi>π</mml:mi></mml:mrow><mml:mrow><mml:mo>−</mml:mo></mml:mrow></mml:msup></mml:mrow><mml:mo>−</mml:mo><mml:mi>p</mml:mi></mml:math>Collisions

Lee, Y. Y.; Moebs, William; Roe, B. P.; Sinclair, D.; Velde, J.C. Vander

doi:10.1103/physrevlett.11.508

Cited by 32 publications

(5 citation statements)

References 8 publications

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“…In order to obtain the f/d ratio in this case, we need more information. The experimental evidence 23 seems to indicate that the cp coupling to nucleons is much weaker than the co-coupling. If we assume g v = -y/2g(d-3/)/3+gi/v3~0, then one has g 0} o^(d-3f)g. Using again the value given by our analysis (g w 2 /gpc 2 ) = 2.5, we obtain the two sets jf=-0.15 f/=-0.65…”

Section: Discussionmentioning

confidence: 98%

Vector-Meson Production in Meson-Baryon Collisions

Liu

Singer

1964

Phys. Rev.

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A covariant general treatment of the amplitude for isoscalar vector-meson production in pseudoscalar meson-baryon collisions is presented. For the low-energy region, a model is devised by assuming the invariant amplitudes to obey a one-dimensional dispersion relation. The formalism is applied to the reaction pion +nucleon -> a> meson+nucleon, for which the single-nucleon and the pion-nucleon cut are taken to dominate the direct channel, while the crossed channels are described by p-meson and nucleon-exchange processes. In the energy range of interest, the pion-nucleon cut is further approximated by the isospin J isobars. In the multipole amplitudes of the resonances, for which a Breit-Wigner formula is assumed, only the lower co angular momentum is exhibited. The differential and the total cross sections are thus expressed in terms of the coupling constants involved and the resonant partial widths, which are to be determined by comparing with the available experimental data. A satisfactory fit is obtained using only the Born terms as a preliminary step, with the following values for the coupling constants:^74^=14.4, g w/ "r 2 /47r=10.5, gco 2/47r=1.0, g »/4T = 0.4, g pm 2 /^ = 0A, and , c =-1.0.

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Section: Discussionmentioning

confidence: 98%

Vector-Meson Production in Meson-Baryon Collisions

Liu

Singer

1964

Phys. Rev.

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“…A more thorough discussion of this can be found in Ref. 22. 640<i^p-<890 640<if p o<890 1120<J4><1380 660<ikf p o<820 1140 <M N *< 1340 1130<Miv*<1330 760<Af a) o<820 1200<M B -<1300 r 660<Af p -<820 11140<M><1340 1480<^Tiv*<1600 1680<lfiv*<1840 1880<1T^*<1960 • 1140 < M N * < 1340 …”

Section: F Theunclassified

Meson and Isobar Resonance Production inπ−pInteractions at 3.63BeVc

et al. 1967

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The weight which applies to a given event is then just momentum and center-of-mass scattering angle d 0 .m* is An ambiguous event (one with two possible solutions for the scattering angle 0 c .m.*) is plotted for each value with a weight of \F or §(), whichever is appropriate.In the final cross-section calculations done for both S + and 2~~, the additional requirement that the proton have projected length >/ 0 is imposed. The weight for this condition is calculated in the same manner as above. Since two-body kinematics are involved, the momentum of the proton in the center-of-mass system, and so its momentum and range l v in the lab, are uniquely determined. The probability r% % $* that both the 2J and proton will have projected length greater than h for values of the incident 2 dip 0, and azimuthal scattering angle $* is then = 0,In this case, the cut is imposed on the recoil 2 regardless of the topology, and so the weight appropriate to both 2+ and 2™ is I and l p >h, • or l p T~+w Jh +n, (3) 7r~-\-p -» 7r~-f-'?r~+'7r + -f-#, (4) ir~~\-p --» 7r _ +7r"~+7r + +^>~f-7r°, and (5) w~^rp -> 7r~+7r~+7r + +7r + +#, respectively, have been Identified. The p meseon is produced abundantly in reactions (1) and (2), and an analysis of the decay angular distributions of the events in these peaks leads one to believe that they are produced via pion-pion scattering in states of angular-momentum zero and one. A detailed analysis of the energy and momentum-transfer dependence of the phase shifts necessary to describe such scattering is made. Using the Chew-Low method, the results have been extrapolated into the nonphysical region of momentum transfer, and they are found to agree quite well quantitatively with predicted values. Reaction (3) is found to be dominated by p° and N* (1238) production. p~ and w° production are the dominant features of reaction (4). Both of these mesons seem to be produced along with nucleon isobars. The p~ channel furnishes examples of these isobars decaying into a pion and into the 1238-MeV 2V**, which in turn breaks up into a ir + and a,p. A peak is also found in the (7r~"cu°) mass ...

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“…Of course so simple a model has very severe limitations: One would not expect it to be reliable or consistent for computing matrix elements, which appear to vary strongly between corresponding members of a ' radial doublet' [11], An important exception to this variation in the vector mesons should be their decay rates into two pseudoscalar mesons. The two-pseudoscalar component in a vector wave function is a ' radial singlet' and should therefore have comparable matrix elements for both members of the radial doublet formed by the baryon-antibaryon interaction.…”

Section: Triplet Doubling and Boson Interactionsmentioning

confidence: 99%