Total cross section forp+p→p+p+<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mrow><mml:msup><mml:mrow><mml:mi mathvariant="normal">π</mml:mi></mml:mrow><mml:mrow><mml:mn>0</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math>near threshold

Miller, G. A.; Pu, Sauer

doi:10.1103/physrevc.44.r1725

Cited by 73 publications

(93 citation statements)

References 6 publications

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“…1b. It became clear that such a model grossly underestimates the empirical cross section 3,4]. On the other hand, the predicted energy dependence, which in this model is determined essentially by phase-space factors and the pp nal-state interaction 1], was found to be in agreement with the IUCF data.…”

Section: Introductionsupporting

confidence: 75%

“…pp 0 close to pion production threshold from the Indiana University Cyclotron Facility (IUCF) 1,2] continue to attract the attention of theorists. Early theoretical studies 3,4] followed closely the conventional approach to s-wave meson production which goes back to the work of Koltun and Reitan from 1966 5]. In this model two production mechanisms are considered: (i) direct production of a pion, depicted in Fig.…”

Section: Introductionmentioning

confidence: 99%

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The reaction pp → ppπ0 near threshold

et al. 1995

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We perform a momentum-space calculation of the reaction pp ! pp 0 near threshold. Direct production and pion rescattering are taken into account. For the latter a T-matrix obtained from a microscopic model of the N interaction is employed.The e ects of some approximations commonly used in studies of pp ! pp 0 are discussed. We nd that those approximations overestimate the cross section and also modify its energy dependence. We obtain a signi cant contribution from rescattering, but not nearly enough to describe the data.

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Section: Introductionsupporting

confidence: 75%

Section: Introductionmentioning

confidence: 99%

The reaction pp → ppπ0 near threshold

et al. 1995

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“…When data for the reaction pp → ppπ 0 close to threshold became available [2] eq. 1 indeed turned out to give the correct energy dependence of the total cross-section [3]. Several authors [4][5][6][7][8][9] concluded from this observation that it is appropriate to calculate the transition NN → NNx to lowest order in perturbation theory and just include the final state interaction (FSI) by using a formula of the type in eq.…”

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confidence: 99%

On the treatment of NN interaction effects in meson production in NN collisions

Hanhart

Nakayama

1999

Physics Letters B

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We clarify under what circumstances the nucleon-nucleon final state interaction fixes the energy dependence of the total cross-section for the reaction N N → N N x close to production threshold, where x can be any meson whose interaction with the nucleon is not too strong. We strongly criticize the procedure used recently by several authors to include the final state interaction in the reactions under discussion. In addition, we give a formula that allows one to estimate the effect of the initial state interaction for the production of heavy mesons. In the above equation q ′ is the momentum of the outgoing meson and A(E, p ′ ) is the NN → NNx transition amplitude, which, for future convenience, is

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“…This reaction has been addressed in dierent w orks [1,2] and shown to be in strong disagreement with very precise data obtained at the Indiana Cyclotron [3]. The starting point is a model which contains the impulse approximation, diagram 1a) and the rescattering term, diagram 1b).…”

mentioning

confidence: 99%

“…The second one involves the N scattering amplitude in one of the vertices which i s g i v en in terms of an eective Lagrangian Hence only the 1 term contributes, which gives a small contribution given the smallness of 1 . Actually 1 is strictly zero in the limit of exact chiral symmetry.…”

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Recent Developments in one and two Pion Production in Elementary Reactions and Few-Body Systems

Cano

Gómez-Tejedor

Hernández

et al. 1995

Few-Body Problems in Physics ’95

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Abstract. In this talk we c o v er several issues concerning pion production.The rst one is the pp pp 0 reaction where an alternative explanation based on the o shell extrapolation of the N amplitude is oered. A recent model for the N N reaction is presented and a new kind of exchange current is constructed from it which allows one to address problems like double photoproduction from the deuteron. Finally the (;) reaction in nuclei is studied and shown to be highly sensitive to the renormalization of the pions in nuclei.1 The pp pp 0 reaction at threshold. This reaction has been addressed in dierent w orks [1,2] and shown to be in strong disagreement with very precise data obtained at the Indiana Cyclotron [3]. The starting point is a model which contains the impulse approximation, diagram 1a) and the rescattering term, diagram 1b).The rst mechanism involves the usual Yukawa v ertex and is only possible due to the initial and nal state interaction. The second one involves the N scattering amplitude in one of the vertices which i s g i v en in terms of an eective Lagrangianwhere 1 = 0 : 0075 and 2 = 0 : 053 for on shell pions at threshold. The 3 _ 3 combination is null and hence the second term in eq. (1) does not contribute for the 0 p 0 p amplitude.

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Total cross section forp+p→p+p+π0near threshold

Abstract: We compare a phenomenology of n" production in p-p scattering with recent Indiana University Cyclotron Facility data for energies near threshold. The computed magnitude of the cross section is too small by a factor of about 5, even though the energy dependence is satisfactorily described.

Cited by 73 publications

References 6 publications

The reaction pp → ppπ0 near threshold

The reaction pp → ppπ0 near threshold

On the treatment of NN interaction effects in meson production in NN collisions

Recent Developments in one and two Pion Production in Elementary Reactions and Few-Body Systems

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