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Related papers: The $\pi \sigma$-Axial Exchange Current

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Recent calculations of $s$-wave pion production have severely underestimated the accurately known $pp\rightarrow pp\pi^0$\ total cross section near threshold. In these calculations, only the single-nucleon axial-charge operator is…

Nuclear Theory · Physics 2008-11-26 C. J. Horowitz , H. O. Meyer , D. Griegel

We discuss the axial form factors of the nucleon within the context of the nonrelativistic chiral quark model. Partial conservation of the axial current (PCAC) imposed at the quark operator level enforces an axial coupling for the…

Nuclear Theory · Physics 2009-11-07 D. Barquilla-Cano , A. J. Buchmann , E. Hernández

Chiral perturbation theory in heavy-fermion formalism is developed for meson-exchange currents in nuclei and applied to nuclear axial- charge transitions. Calculation is performed to the next-to-leading order in chiral expansion which…

High Energy Physics - Phenomenology · Physics 2010-04-06 Tae-Sun Park , Dong-Pil Min , Mannque Rho

We calculate the hypercharge and flavor singlet axial couplings related to the spin of the nucleon in a constituent quark model. In addition to the standard one-body axial currents, the model includes two-body axial exchange currents. The…

High Energy Physics - Phenomenology · Physics 2009-11-11 D. Barquilla-Cano , A. J. Buchmann , E. Hernandez

In a chiral quark model where chiral symmetry is introduced via a non-linear sigma model, we evaluate the axial couplings g_A(0), g_A^8(0) and g_A^0(0 )related to the spin structure of the nucleon. Our calculation includes one-body and…

Nuclear Theory · Physics 2007-05-23 D. Barquilla-Cano , A. J. Buchmann , E. Hernandez

If a baryon field belongs to a certain linear representation of chiral symmetry of $SU(2) \otimes SU(2)$, the axial coupling constant $g_{A}$ can be determined algebraically from the commutation relations derived from the superconvergence…

High Energy Physics - Phenomenology · Physics 2017-08-23 A. Hosaka , D. Jido , M. Oka

In the phenomenological description of the nuclear interaction a crucial role is traditionally played by the exchange of a scalar I=0 meson, the sigma, of mass 500-600 MeV, which however is not seen clearly in the particle spectrum and…

Nuclear Theory · Physics 2009-11-11 John F. Donoghue

We calculate at two-loop order in chiral perturbation theory the electromagnetic corrections to the dominant two-pion exchange nucleon-nucleon interaction that is generated by the isoscalar $\pi N$ contact-vertex proportional to the large…

Nuclear Theory · Physics 2008-11-26 N. Kaiser

The leading contribution to the three-pion exchange nucleon-nucleon potential is calculated in the framework of chiral symmetry. It has pseudoscalar and axial components and is dominated by the former, which has a range of about 1.5 fm and…

Nuclear Theory · Physics 2009-10-31 J. C. Pupin , M. R. Robilotta

We develop a systematic chiral perturbation expansion for the calculation of meson-exchange currents in nuclei and apply the formalism to nuclear axial currents. We summarize the principal results of such a calculation to one loop order on…

High Energy Physics - Phenomenology · Physics 2007-05-23 Tae-Sun Park , Dong-Pil Min , Mannque Rho

By incorporating hidden scale symmetry and hidden local symmetry in nuclear effective field theory, combined with double soft-pion theorem, we predict that the Gamow-Teller operator coming from the space component of the axial current…

Nuclear Theory · Physics 2018-09-26 Yan-Ling Li , Yong-Liang Ma , Mannque Rho

We derive the expressions of the vector and axial current from a chiral Lagrangian restricted to nucleons and pions. They display mixing terms between the axial and vector currents. We study the modifications in the nuclear medium of the…

Nuclear Theory · Physics 2009-10-31 G. Chanfray , J. Delorme , M. Ericson

The nucleon axial coupling constant $g_A$ is calculated in the presence of an external uniform magnetic field using finite energy sum rules. The correlation function of proton, neutron and axial-vector currents is calculated both the…

High Energy Physics - Phenomenology · Physics 2023-04-12 Cristián Villavicencio

A meson exchange model of the $\pi\pi$ interaction which fits free $\pi\pi$ scattering data is used to calculate the interactions of pions in nuclear matter as a function of nuclear density. Polarization of the nuclear medium by the pions…

Nuclear Theory · Physics 2009-10-30 R. Rapp , J. W. Durso , J. Wambach

We present the complete derivation of the nuclear axial charge and current operators as well as the pseudoscalar operators to fourth order in the chiral expansion relative to the dominant one-body contribution using the method of unitary…

Nuclear Theory · Physics 2017-04-05 H. Krebs , E. Epelbaum , U. -G. Meißner

We show that the tail of the chiral two-pion exchange nucleon-nucleon potential is proportional to the $\pi N$ scalar form factor and discuss how it can be translated into effective scalar meson interactions. We then construct a kernel for…

Nuclear Theory · Physics 2009-11-06 C. M. Maekawa , J. C. Pupin , M. R. Robilotta

Starting from the axial heavy meson exchange currents, constructed earlier in conjunction with the Bethe--Salpeter equation, we first present the axial $\rho$--, $\omega$-- and $a_1$ meson exchange Feynman amplitudes that satisfy the…

Nuclear Theory · Physics 2009-11-07 B. Mosconi , P. Ricci , E. Truhlik

A microscopic model for the $N\bar N\to\pi\pi$ process is presented in the meson exchange framework, which in the pseudophysical region agrees with available quasiempirical information. The scalar ($\sigma$) and vector ($\rho$) piece of…

Nuclear Theory · Physics 2009-09-25 C. Schütz , J. W. Durso , K. Holinde , B. C. Pearce , J. Speth

Based on the one-boson-exchange framework that the $\sigma$ meson serves as an effective parameterization for the correlated scalar-isoscalar $\pi\pi$ interaction, we calculate the coupling constants of the $\sigma$ to the $\frac{1}{2}^+$…

High Energy Physics - Phenomenology · Physics 2024-05-03 Bing Wu , Xiong-Hui Cao , Xiang-Kun Dong , Feng-Kun Guo

We calculate shell-model matrix elements of the axial-charge exchange current operators that have been obtained up to the next-to-leading order from heavy-fermion chiral perturbation theory. It is found that loop corrections to the soft…

Nuclear Theory · Physics 2009-10-28 Tae-Sun Park , Ian S. Towner , Kuniharu Kubodera
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