Weak axial exchange currents for the Bethe–Salpeter equation

Khanna, F. C.; Truhlík, E.

doi:10.1016/s0375-9474(00)00060-9

Cited by 9 publications

(20 citation statements)

References 39 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…(2.1), where the form factors g i are obtained from the amplitudes derived from the chiral Lagrangian of the N∆πρωa 1 system. The non-resonant part of the Lagrangian contains the normal and anomalous Lagrangians of the Nπρωa 1 system interacting with the external electromagnetic and weak fields by the associated one-body currents [2,3,42,52,53]. In the expansion of the amplitudes in 1/M, we keep all terms up to the order O(1/M 2 ).…”

Section: Discussionmentioning

confidence: 99%

“…For the resonant part of our Lagrangian, we have extended the standardly used model [2,26,29,42] by adopting results of the model developed by Olsson and Osypowski [43] and by Davidson, Mukhopadhyay and Wittman [44,45], allowing the ∆ isobar to be off-shell.…”

Section: Discussionmentioning

confidence: 99%

“…We derive the RMC amplitudes arising due to the ∆ excitations from chiral Lagrangians [42][43][44][45]. They correspond to the standard nucleon Born terms with the ∆ isobar instead of nucleon in the intermediate state.…”

Section: Corrections Up To the Order O(1/m )mentioning

confidence: 99%

See 2 more Smart Citations

Radiative muon capture in hydrogen

Truhlík¹,

Khanna

2002

Phys. Rev. C

View full text Add to dashboard Cite

We analyze the radiative capture of the negative muon in hydrogen using amplitudes derived within the chiral Lagrangian approach. Besides the leading and next to leading order terms, given by the well-known Rood-Tolhoek Hamiltonian, we extract from these amplitudes the corrections of the next order in 1/M (M is the nucleon mass). In addition, we estimate within the same formalism also the ∆(1232) isobar excitation effects and processes described by an anomalous Lagrangian. Using of the parameters of the model obtained from the analysis of the pion photoproduction, which restricts the arbitrariness of the πN ∆ and γN ∆ vertices off-shell, allows us to explain two times more of the discrepancy between the value g P CAC P of the induced pseudoscalar form factor g P , predicted by partial conservation of the axial current, and of g P extracted from the recent TRIUMF experiment, than the standard approach. Varying these parameters independently, one can remove the discrepancy completely.

show abstract

Section: Discussionmentioning

confidence: 99%

Section: Discussionmentioning

confidence: 99%

See 1 more Smart Citation

Radiative muon capture in hydrogen

Truhlík¹,

Khanna

2002

Phys. Rev. C

View full text Add to dashboard Cite

show abstract

“…If the nucleon propagator in the first Born iteration is the full relativistic one then this iteration is equal to the nucleon Born term and the exchange currents do not contain any pair term, in order to avoid the double counting. This is the case of the axial currents constructed in conjunction with the BetheSalpeter equation [19]. In this case, the nucleon Born term is fully reducible.…”

Section: The Pion Pair Term and The Nuclear Pcacmentioning

confidence: 99%

“…In our opinion, the problem of double counting was omitted in [8,9,12]. Since the potential term is absent in [12], those currents should be used in conjunction with the Bethe-Salpeter equation, because, as discussed in [19,31], the WAEC does not contain the contribution from the nucleon Born term in this case. On the other hand, these currents [12] are used at present in nuclear physics calculations with wave functions derived with the Schrödinger equation [18,32,33].…”

Section: The Weak Axial Pion Pair Term Within the Formalism Of The Chmentioning

confidence: 99%

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

2005

View full text Add to dashboard Cite

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

show abstract

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

Mosconi

Ricci

Truhlík³

2006

Nuclear Physics A

View full text Add to dashboard Cite

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.

show abstract

Weak axial exchange currents for the Bethe–Salpeter equation

Cited by 9 publications

References 39 publications

Radiative muon capture in hydrogen

Radiative muon capture in hydrogen

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

Contact Info

Product

Resources

About