dorsal/arxiv
View SchemaQuasi-particle interaction in nuclear matter from chiral pion-nucleon dynamics
| Authors | N. Kaiser |
|---|---|
| Categories | |
| ArXiv ID | nucl-th/0601100 |
| URL | https://arxiv.org/abs/nucl-th/0601100 |
| DOI | 10.1016/j.nuclphysa.2006.01.003 |
| Journal | Nucl.Phys.A768:99-117,2006 |
Abstract
Based on a recent chiral approach to nuclear matter we calculate the in-medium interaction of nucleons at the Fermi surface $|\vec p_{1,2}|=k_f$. The isotropic part of this quasi-particle interaction is characterized by four density dependent (dimensionful) Fermi-liquid parameters: $f_0(k_f), f_0'(k_f), g_0(k_f)$ and $g_0'(k_f)$. In the approximation to $1\pi$-exchange and iterated $1\pi$-exchange (which as such leads already to a good nuclear matter equation of state) we find a spin-isospin interaction strength of $g_0'(2m_\pi) = 1.14 $fm$^2$, compatible with existing empirical values. In the next step we include systematically the contributions from $2\pi$-exchange with virtual $\Delta(1232) $-isobar excitation which have been found important for good single-particle properties and spin-stability of nuclear matter. Without any additional short distance terms the spin-dependent Fermi-liquid parameters $g_0(k_{f0})$ and $g'_0(k_{f0})$ come out far too large. Estimates of these short-distance parameters from realistic NN-potentials go in the right direction, but sizeable enhancement factors are still needed to reproduce the empirical values of $g_0(k_{f0})$ and $g_0'(k_{f0})$. This points towards the importance of higher order iterations subsumed in the induced interaction. We consider also the tensor part of the quasi-nucleon interaction at the Fermi surface. In comparison to the leading $1\pi$-exchange tensor interaction we find from the $2\pi$-exchange corrections almost a doubling of the isoscalar tensor strength $h_0(k_f)$, whereas the isovector tensor strength $h_0'(k_f)$ is much less affected. These features are not changed by the inclusion of the chiral $\pi N\Delta$-dynamics.
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"abstract": "Based on a recent chiral approach to nuclear matter we calculate the\nin-medium interaction of nucleons at the Fermi surface $|\\vec p_{1,2}|=k_f$.\nThe isotropic part of this quasi-particle interaction is characterized by four\ndensity dependent (dimensionful) Fermi-liquid parameters: $f_0(k_f), f_0\u0027(k_f),\ng_0(k_f)$ and $g_0\u0027(k_f)$. In the approximation to $1\\pi$-exchange and iterated\n$1\\pi$-exchange (which as such leads already to a good nuclear matter equation\nof state) we find a spin-isospin interaction strength of $g_0\u0027(2m_\\pi) = 1.14\n$fm$^2$, compatible with existing empirical values. In the next step we include\nsystematically the contributions from $2\\pi$-exchange with virtual\n$\\Delta(1232) $-isobar excitation which have been found important for good\nsingle-particle properties and spin-stability of nuclear matter. Without any\nadditional short distance terms the spin-dependent Fermi-liquid parameters\n$g_0(k_{f0})$ and $g\u0027_0(k_{f0})$ come out far too large. Estimates of these\nshort-distance parameters from realistic NN-potentials go in the right\ndirection, but sizeable enhancement factors are still needed to reproduce the\nempirical values of $g_0(k_{f0})$ and $g_0\u0027(k_{f0})$. This points towards the\nimportance of higher order iterations subsumed in the induced interaction. We\nconsider also the tensor part of the quasi-nucleon interaction at the Fermi\nsurface. In comparison to the leading $1\\pi$-exchange tensor interaction we\nfind from the $2\\pi$-exchange corrections almost a doubling of the isoscalar\ntensor strength $h_0(k_f)$, whereas the isovector tensor strength $h_0\u0027(k_f)$\nis much less affected. These features are not changed by the inclusion of the\nchiral $\\pi N\\Delta$-dynamics.",
"arxiv_id": "nucl-th/0601100",
"authors": [
"N. Kaiser"
],
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"doi": "10.1016/j.nuclphysa.2006.01.003",
"journal_ref": "Nucl.Phys.A768:99-117,2006",
"title": "Quasi-particle interaction in nuclear matter from chiral pion-nucleon dynamics",
"url": "https://arxiv.org/abs/nucl-th/0601100"
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