Theory of Low-Energy Nucleon-Nucleon Scattering

Goldberger, M. L.; Grisaru, Marcus T.; MacDowell, S. W.; Wong, David Y.

doi:10.1103/physrev.120.2250

Cited by 410 publications

(92 citation statements)

References 15 publications

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“…The foregoing consideration can be generalized to transverse pairings between opposite helicities. The only modifications include replacing 3−cos θ in (5.1) by 1+cos θ and P J (cos θ) by d J 11 (θ), the Wigner D-functions [36]. The final formula for the transition temperature is given by (5.7) with c J replaced by…”

Section: Non-zero Angular Momentummentioning

confidence: 99%

Transition temperature to the superconducting phase of QCD at high baryon density

2000

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Recent interest in the study of color superconductivity has focused on the regime of high baryon density where perturbative QCD may be employed. Based on the dominant one-gluon-exchange interaction, both the transition temperature and zero temperature gap have been determined to leading order in the coupling, g. While the leading non-BCS behavior, T C ∼ µg −5 e −κ/g , is easily obtained, the pre-exponential factor has proved more difficult to evaluate. Focusing on the transition temperature, we present a perturbative derivation of this factor, exact to leading order in g. This approach is first motivated by the study of a toy model and involves working to second order in the perturbative expansion. We compare this result to the zero temperature gap. Additionally, we extend the analysis to the case of higher angular momentum for longitudinal and transverse quark pairing.

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Section: Non-zero Angular Momentummentioning

confidence: 99%

Transition temperature to the superconducting phase of QCD at high baryon density

2000

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“…where q 1 , p 1 , q 2 , and p 2 are four-momenta of π − , p, a 0 0 , and n respectively, λ p and λ n are the proton and neutron helicities, A and B are the invariant amplitudes depending on s = (p 1 + q 1 ) 2 and t = (q 1 − q 2 ) 2 and free of kinematical singularities [16]. Using normalizationūu = 2m N and taking the proton and the neutron as "second particles" [17] we obtain that, in the c.m.…”

Section: Introductionmentioning

confidence: 99%

Mechanisms of the reactionπ−p→a00(980)n
Achasov
¹
,
Shestakov
²

1997
Phys. Rev. D
125
20
334
0
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The main dynamical mechanisms of the reaction π − p → a 0 0 (980)n → π 0 ηn at high energies, currently investigated at Serpukhov and Brookhaven, are considered in detail. It is shown that the observed forward peak in its differential cross section can be explained within the framework of the Regge pole model only by the conspiring ρ 2 Regge pole exchange. The tentative estimates of the absolute π − p → a 0 0 (980)n → π 0 ηn reaction cross section at P π − lab = 18 GeV/c are obtained: σ ≈ 200 nb and, in the forward direction, dσ/dt ≈ 940 nb/GeV 2 . The contribution of the one pion exchange, which is forbidden by G-parity and which can rise owing to the f 0 0 (980)−a 0 0 (980) mixing, is also estimate. A role of the Regge cuts in the non-flip helicity amplitude is briefly examined and a conclusion is made that the contributions of the cuts have to be inessential in comparison with the conspiring ρ 2 Regge pole exchange.

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“…[14], so that the signs of ¢2 and ¢4 are reversed. The r is given by (3.1c), and ~ is the product of the Lorentz transformation factors (7.6).…”

Section: Pl = (S(s + T)/t}2mentioning

confidence: 99%

“…Following Goldberger, Grisaru, MacDowell and Wong [14], we now define the following helicity amplitudes, the entries in the brackets…”

Section: Pl = (S(s + T)/t}2mentioning

confidence: 99%

Interacting-string picture of the Neveu-Schwarz-Ramond model

Mandelstam

1974

Nuclear Physics B

204

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The interacting-string picture i~ extended to the NeveuSchwarz and Ramond models. The picture is manifestly dual, even for the Ramond model, and amplitudes with an arbitrary number of external fermions can be constructed. In all channels the only singularities are poles corresponding to the expected particles. There exist both qq and zero-quark mesons, which differ in the parity of the states with odd Neveu-Schwarz g-parity. Calculations of ff scattering amplitudes are performed. The results are B-functions multiplied by simple kinematical factors, and it is easily verified that the amplitudes possess all the necessary properties.

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Theory of Low-Energy Nucleon-Nucleon Scattering

Cited by 410 publications

References 15 publications

Transition temperature to the superconducting phase of QCD at high baryon density

Transition temperature to the superconducting phase of QCD at high baryon density

Mechanisms of the reactionπ−p→a00(980)n
Achasov
¹
,
Shestakov
²

1997
Phys. Rev. D
125
20
334
0
View full text Add to dashboard Cite

Interacting-string picture of the Neveu-Schwarz-Ramond model

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Theory of Low-Energy Nucleon-Nucleon Scattering

Cited by 410 publications

References 15 publications

Transition temperature to the superconducting phase of QCD at high baryon density

Transition temperature to the superconducting phase of QCD at high baryon density

Mechanisms of the reactionπ−p→a00(980)nAchasov1, Shestakov2 1997Phys. Rev. D125203340View full textAdd to dashboardCite

Interacting-string picture of the Neveu-Schwarz-Ramond model

Contact Info

Product

Resources

About

Mechanisms of the reactionπ−p→a00(980)n
Achasov
¹
,
Shestakov
²

1997
Phys. Rev. D
125
20
334
0
View full text Add to dashboard Cite