Weak Meson-exchange currents and the tritium βdecay

Abstract. Starting from chiral Lagrangians, possessing the SU (2)L × SU (2)R local chiral symmetry, we derive weak axial one-boson exchange currents in the leading order in the 1/M expansion (M is the nucleon mass), suitable for the nuclear physics calculations beyond the threshold energies and with the wave functions, obtained by solving the Schrödinger equation with the one-boson exchange potentials. The constructed currents obey the nuclear form of the partial conservation of the axial current. We apply the space component of these currents in calculations of the cross-sections for the disintegration of deuterons by the low-energy neutrinos. The deuteron and the 1 S0 final-state nucleon-nucleon wave functions are derived i) from a variant of the OBEPQB potential and ii) from the Nijmegen 93 and Nijmegen I nucleonnucleon interactions. The extracted values of the constant L1, A, entering the axial exchange currents of the pionless effective field theory (EFT), are in agreement with those predicted by the dimensional analysis. The comparison of our cross-sections with those obtained within the pionless EFT and other potential model calculations shows that the solar neutrino-deuteron cross-sections can be calculated within an accuracy of ≈ 3.3%.

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“…1). This method has already been applied [16,17] to construct the space component of the WAECs of the pion range.…”

Section: Introductionmentioning

confidence: 99%

Interactions of the solar neutrinos with the deuterons

2006

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“…On the other hand, checking the weak axial pion exchange currents, constructed in [5,6,7,8,9,10,13,15] one concludes that the situation is not transparent. Let us discuss various approaches in more detail.…”

Section: Introductionmentioning

confidence: 99%

The role of the pion pair term in the theory of the weak axial meson exchange currents

2005

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The structure of the weak axial pion exchange current is discussed in various models. It is shown how the interplay of the chiral invariance and the double counting problem restricts uniquely the form of the pion potential term, in the case when the nuclear dynamics is described by the Schrödinger equation with static nucleon-nucleon potential.PACS. 11.40.Ha Partially conserved axial-vector currents 25.30.-c Lepton-induced nuclear reactions

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“…We shall next consider ρ, a 1 and ω exchanges. As in the pion exchange case [39,40], we study first the relativistic exchange amplitudes.…”

Section: Two-nucleon Weak Axial Meson Exchange Amplitudes Of the mentioning

confidence: 99%

“…With the use of the chiral Lagrangians, the structure of the space component of the weak axial MECs of the pion range was studied in detail in the hard pion model [38] in Refs. [18,39,40], and applied to various reactions in the lightest nuclei [39,[41][42][43]. The largest effect arises from the ∆ excitation current of the pion range, that is partially compensated by the analogous current of the ρ meson range.…”

Section: Introductionmentioning

confidence: 99%

“…The WANECs are then defined by analogy with the electromagnetic MECs [58,78], as the difference between these relativistic amplitudes and the first Born iteration of the weak axial one-nucleon current contribution to the two-nucleon scattering amplitude satisfying the Lippmann-Schwinger equation. This method has already been applied in [39,40,62] to the construction of the weak axial MECs of the pion range. It can be shown in the same manner that the WANECs, defined in this ‡ A test of this kind has recently been done in Ref.…”

Section: Introductionmentioning

confidence: 99%

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Weak axial nuclear heavy meson exchange currents and interactions of solar neutrinos with deuterons

Mosconi

Ricci

Truhlík³

2006

Nuclear Physics A

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Starting from the axial heavy meson exchange currents, constructed earlier in conjunction with the Bethe-Salpeter equation, we first present the axial ρ-, ω-and a 1 meson exchange Feynman amplitudes that satisfy the partial conservation of the axial current. Employing these amplitudes, we derive the corresponding weak axial heavy meson exchange currents in the leading order in the 1/M expansion (M is the nucleon mass), suitable for the nuclear physics calculations beyond the threshold energies and with wave functions obtained by solving the Schrödinger equation with one-boson exchange potentials. The constructed currents obey the nuclear form of the partial conservation of the axial current. We apply the space component of these currents in calculations of the cross sections for the disintegration of deuterons by low energy (anti)neutrinos. The deuteron and the final state nucleon-nucleon wave functions are derived (i) from a variant of the OBEPQB potential, and (ii) from the Nijmegen 93 and Nijmegen I nucleon-nucleon interaction. The extracted values of the constant L 1, A , entering the axial exchange currents of the pionless effective field theory, are in a reasonable agreement with its value predicted by the dimensional analysis.

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Weak Meson-exchange currents and the tritium βdecay

Cited by 22 publications

References 31 publications

Interactions of the solar neutrinos with the deuterons

Interactions of the solar neutrinos with the deuterons

The role of the pion pair term in the theory of the weak axial meson exchange currents

Weak axial nuclear heavy meson exchange currents and interactions of solar neutrinos with deuterons

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