Hard pions and axial meson exchange currents in nuclear physics

Ivanov, E.; Truhlík, E.

doi:10.1016/0375-9474(79)90046-0

Cited by 71 publications

(58 citation statements)

References 27 publications

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“…(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%

“…It is well known [1] that the charged weak interaction of the nucleon with a lepton is described by the weak hadron current J a W, µ (q 1 ) = J a V, µ (q 1 ) + J a A, µ (q 1 ) , (1.1) where the vector part is given by the matrix element of the isovector Lorentz 4-vector current operator between the nucleon states, 2) and the axial-vector part is analogously,…”

Section: Introductionmentioning

confidence: 99%

“…It is easy to obtain that u(p ′ )q 1 µĴ a A, µ u(p) =ū(p ′ ) 2Mg A F A (q 2 1 ) − g P (q 2 with g A ≡ g A (0) = −1.267. In the chiral model [2,3], the axial form factor is of the monopole form 8) where m a 1 is the mass of the axial vector meson a 1 (1260). Then for theg P (q 2 1 ), Eq.…”

Section: Introductionmentioning

confidence: 99%

“…(1.6) and 25) for the chiral model [2,3] and 26) for the dipole form of the form factor. As it is seen from Eq.…”

Section: Introductionmentioning

confidence: 99%

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On radiative muon capture in hydrogen

Truhlík¹,

Khanna

2001

AIP Conference Proceedings

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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.

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Section: Discussionmentioning

confidence: 99%

Section: Discussionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

“…(1.6) and 25) for the chiral model [2,3] and 26) for the dipole form of the form factor. As it is seen from Eq.…”

Section: Introductionmentioning

confidence: 99%

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On radiative muon capture in hydrogen

Truhlík¹,

Khanna

2001

AIP Conference Proceedings

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Interactions of the solar neutrinos with the deuterons

Mosconi¹,

Ricci²,

Truhlík³

The 2nd International Conference on Nuclear Physics in Astrophysics

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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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Muon Capture in Deuterium

Piccinini

1985

Fundamental Interactions in Low-Energy Systems

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Hard pions and axial meson exchange currents in nuclear physics

Cited by 71 publications

References 27 publications

On radiative muon capture in hydrogen

On radiative muon capture in hydrogen

Interactions of the solar neutrinos with the deuterons

Muon Capture in Deuterium

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