A New Description of Nuclear Rotational Motion in Terms of the Intrinsic Pair Mode
Author(s) -
Daisuke Hayashi,
M. Ueno,
Y. Miyanishi
Publication year - 2002
Publication title -
progress of theoretical physics
Language(s) - English
Resource type - Journals
eISSN - 1347-4081
pISSN - 0033-068X
DOI - 10.1143/ptp.107.363
Subject(s) - physics , angular momentum , hamiltonian (control theory) , rotation around a fixed axis , rotational partition function , formalism (music) , wave function , classical mechanics , zero mode , projection (relational algebra) , rotational transition , quantum mechanics , quantum electrodynamics , mathematics , algorithm , art , mathematical optimization , musical , visual arts
A new method describing nuclear rotational motion microscopically isproposed. We extract the rotational Hamiltonian by introducing the intrinsicpair modes which commute with the rotational mode. Thereby the rotational modeis not treated as zero energy mode in contrast with the conventional RPAformalism so that we circumvent the difficulty related with infrareddivergence. The wave function is constructed by angular momentum projection oneach intrinsic state. Without numerical integration for projection we calculatethe matrix elements analytically under a certain approximation. The numericalcalculations are carried out to illustrate the applicability of our method andthey show that our method works well.Comment: 14pages,1figur
Accelerating Research
Robert Robinson Avenue,
Oxford Science Park, Oxford
OX4 4GP, United Kingdom
Address
John Eccles HouseRobert Robinson Avenue,
Oxford Science Park, Oxford
OX4 4GP, United Kingdom