dorsal/arxiv
View SchemaVariational Monte Carlo Calculations of $^3$H and $^4$He with a relativistic Hamiltonian - II
| Authors | J. L. Forest, V. R. Pandharipande, J. Carlson, R. Schiavilla |
|---|---|
| Categories | |
| ArXiv ID | nucl-th/9410013 |
| URL | https://arxiv.org/abs/nucl-th/9410013 |
| DOI | 10.1103/PhysRevC.52.576 |
Abstract
In relativistic Hamiltonians the two-nucleon interaction is expressed as a sum of $\tilde{v}_{ij}$, the interaction in the ${\bf P}_{ij}=0$ rest frame, and the ``boost interaction'' $\delta v({\bf P}_{ij})$ which depends upon the total momentum ${\bf P}_{ij}$ and vanishes in the rest frame. The $\delta v$ can be regarded as a sum of four terms: $\delta v_{RE}$, $\delta v_{LC}$, $\delta v_{TP}$ and $\delta v_{QM}$; the first three originate from the relativistic energy-momentum relation, Lorentz contraction and Thomas precession, while the last is purely quantum. The contributions of $\delta v_{RE}$ and $\delta v_{LC}$ have been previously calculated with the variational Monte Carlo method for $^3$H and $^4$He. In this brief note we report the results of similar calculations for the contributions of $\delta v_{TP}$ and $\delta v_{QM}$. These are found to be rather small.
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"abstract": "In relativistic Hamiltonians the two-nucleon interaction is expressed as a\nsum of $\\tilde{v}_{ij}$, the interaction in the ${\\bf P}_{ij}=0$ rest frame,\nand the ``boost interaction\u0027\u0027 $\\delta v({\\bf P}_{ij})$ which depends upon the\ntotal momentum ${\\bf P}_{ij}$ and vanishes in the rest frame. The $\\delta v$\ncan be regarded as a sum of four terms: $\\delta v_{RE}$, $\\delta v_{LC}$,\n$\\delta v_{TP}$ and $\\delta v_{QM}$; the first three originate from the\nrelativistic energy-momentum relation, Lorentz contraction and Thomas\nprecession, while the last is purely quantum. The contributions of $\\delta\nv_{RE}$ and $\\delta v_{LC}$ have been previously calculated with the\nvariational Monte Carlo method for $^3$H and $^4$He. In this brief note we\nreport the results of similar calculations for the contributions of $\\delta\nv_{TP}$ and $\\delta v_{QM}$. These are found to be rather small.",
"arxiv_id": "nucl-th/9410013",
"authors": [
"J. L. Forest",
"V. R. Pandharipande",
"J. Carlson",
"R. Schiavilla"
],
"categories": [
"nucl-th"
],
"doi": "10.1103/PhysRevC.52.576",
"title": "Variational Monte Carlo Calculations of $^3$H and $^4$He with a relativistic Hamiltonian - II",
"url": "https://arxiv.org/abs/nucl-th/9410013"
},
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