{ "id": "nucl-th/0506048", "version": "v1", "published": "2005-06-15T12:10:54.000Z", "updated": "2005-06-15T12:10:54.000Z", "title": "Single $α$-particle orbits and Bose-Einstein condensation in $^{12}$C", "authors": [ "Taiichi Yamada", "Peter Schuck" ], "comment": "32 pages, 13 figures", "journal": "Eur.Phys.J. A26 (2005) 185-199", "doi": "10.1140/epja/i2005-10168-1", "categories": [ "nucl-th" ], "abstract": "The $\\alpha$-bosonic properties such as single-$\\alpha$ orbits and occupation numbers in $J^\\pi$=$0^+$, $2^+$, $1^-$ and $3^-$ states of $^{12}$C around the $3\\alpha$ threshold are investigated with the semi-microscopic $3\\alpha$ cluster model. As in other studies, we found that the $0^+_2$ ($2^+_2$) state has dilute-$3\\alpha$-condensate-like structure in which the $\\alpha$ particle is occupied in the single $S$ ($D$) orbit with about 70% (80%) probability. The radial behaviors of the single-$\\alpha$ orbits as well as the occupation numbers are discussed in detail in comparison with those for the $0^+_1$ and $2^+_1$ states together with the $1^-_1$ and $3^-_1$ states.", "revisions": [ { "version": "v1", "updated": "2005-06-15T12:10:54.000Z" } ], "analyses": { "subjects": [ "21.10.Dr", "21.60.Gx", "03.75.Hh", "21.10.Gv" ], "keywords": [ "bose-einstein condensation", "particle orbits", "occupation numbers", "cluster model", "bosonic properties" ], "tags": [ "journal article" ], "publication": { "journal": "European Physical Journal A", "year": 2005, "month": "Nov", "volume": 26, "number": 2, "pages": 185 }, "note": { "typesetting": "TeX", "pages": 32, "language": "en", "license": "arXiv", "status": "editable", "inspire": 685191, "adsabs": "2005EPJA...26..185Y" } } }