The proton-proton reaction, solar neutrinos, and a relativistic field theoretic model of the deuteron

Bahcall, John N.; Kamionkowski, Marc

doi:10.1016/s0375-9474(97)00404-1

Cited by 10 publications

(12 citation statements)

References 11 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…They obtained then a result which was significantly different from the standard result based upon potential models. Subsequently it was pointed out by Bahcall and Kamionowski [8] that their effective nuclear interaction was not consistent with what is known about protonproton scattering at low energies where Coulomb effects are important.…”

mentioning

confidence: 92%

See 1 more Smart Citation

Proton-proton fusion in leading order of effective field theory

Kong

Ravndal

1999

Nuclear Physics A

View full text Add to dashboard Cite

Using a recently developed effective field theory for the interactions of nucleons at non-relativistic energies, we calculate the rate for the fusion process p + p → d + e + + ν e to leading order in the momentum expansion. Coulomb effects are included non-perturbatively in a systematic way. The resulting rate is independent of specific models for the strong interactions at short distances and is in agreement with the standard result in the zero-range approximation.The first step in the different nuclear processes in the Sun which generate the observed luminosity is proton-proton fusion p + p → d + e + + ν e [1]. It was explained more than sixty years ago by Bethe and Critchfield[2] when nuclear physics was still in its infancy. When the field had more matured, it was reconsidered in the light of more modern developments by Salpeter[3] and later by Bahcall and May [4]. But in spite of the enormous progress in nuclear physics during this time, the methods and approximations made in these different calculations were essentially the same. The obtained accuracy in the obtained fusion rate was just a few percent. Including higher order electromagnetic and strong corrections the uncertainty in the rate is now around one percent [5][6]. This is very impressive for a strongly interacting process at low energies very ordinary perturbation theory cannot be used.In the light of the importance this fundamental process plays in connection with the solar neutrino problem and possible neutrino oscillations[1], it is natural to reconsider this process from the point of view of modern quantum field theory instead of the old potential models used previously. A first attempt in this direction was made by Ivanov et al. [7]. They obtained then a result which was significantly different from the standard result based upon potential models. Subsequently it was pointed out by Bahcall and Kamionowski[8] that their effective nuclear interaction was not consistent with what is known about protonproton scattering at low energies where Coulomb effects are important.The approach of Ivanov et al. [7] is based upon relativistic field theory and should in principle yield reliable results. But it is well known that in particular for bound states like the deuteron it is very difficult to use consistently a relativistic formulation. Also the uncertain nuclear physics part of the fusion process under consideration takes place at

show abstract

mentioning

confidence: 92%

“…as follows from the expressions in (6) and (8). This form of the transition matrix element was written down first by Bethe and Chritchfield [2] and used subsequently by everyone considering the process in potential models.…”

mentioning

confidence: 99%

Proton-proton fusion in leading order of effective field theory

Kong

Ravndal

1999

Nuclear Physics A

View full text Add to dashboard Cite

show abstract

“…In their relativistic model they obtained a result which was significantly different from the standard result based upon conventional nuclear physics models. Subsequently it was pointed out by Bahcall and Kamionowski that their effective nuclear interaction was not consistent with what is known about proton-proton scattering at low energies where Coulomb effects are important [8]. In a more recent contribution this defect of their calculation was removed and better agreement with standard results have been obtained [9].…”

Section: Introductionmentioning

confidence: 99%

Proton-proton fusion in effective field theory

Kong

Ravndal

2001

Phys. Rev. C

View full text Add to dashboard Cite

Abstract:The rate for the fusion process p + p → d + e + + ν e is calculated using nonrelativistic effective field theory. Including the four-nucleon derivative interaction, results are obtained in next-to-leading order in the momentum expansion. This reproduces the effects of the effective range parameter. Coulomb interactions between the incoming protons are included nonperturbatively in a systematic way. The resulting fusion rate is independent of specific models and wavefunctions for the interacting nucleons. At this order in the effective Lagrangian there is an unknown counterterm which limits the numerical accuracy of the calculated rate given by the squared reduced matrix element Λ 2 (0) = 7.37. Assuming the counterterm to have a natural magnitude, we estimate the accuracy of this result to be 6% -8%. This is consistent with previous nuclear physics calculations based on effective range theory and inclusion of axial two-body weak currents. The true magnitude of the counterterm can be determined from a precise measurement of the cross-section for low-energy neutrino scattering on deuterons.

show abstract

“…This number is considered as a canonical value and, indeed, a series of recalculations within various approaches (cf [6][7][8] and further references therein) recover values of S pp centred around the canonical one. A considerably larger value would be inconsistent with helioseismic data [9,10]. However, there are some other indications [11] that S pp may be 4.2 × 10 −25 MeV b or even slightly larger.…”

Section: Introductionmentioning

confidence: 83%

High-Mobility Hole-Transporting Polymers for Electroluminescence Applications

Lee

Tong

et al. 2005

Jpn. J. Appl. Phys.

View full text Add to dashboard Cite

A covariant model based on the Bethe-Salpeter formalism is proposed for investigating the solar proton burning process pp → De + ν e and the near-threshold deuteron disintegration via electromagnetic and weak interactions. Results of numerical calculations of the energy dependence of relevant cross sections and the astrophysical low-energy cross section factor S pp of the proton burning process are presented. Our results confirm previous canonical values, and the energy dependence of the S pp factor is rather close to phenomenological extrapolations commonly adopted in computations of solar nuclear reaction rates.

show abstract

The proton-proton reaction, solar neutrinos, and a relativistic field theoretic model of the deuteron

Cited by 10 publications

References 11 publications

Proton-proton fusion in leading order of effective field theory

Proton-proton fusion in leading order of effective field theory

Proton-proton fusion in effective field theory

High-Mobility Hole-Transporting Polymers for Electroluminescence Applications

Contact Info

Product

Resources

About