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We present an effective field theory (EFT) for a model-independent description of deformed atomic nuclei. In leading order this approach recovers the well-known results from the collective model by Bohr and Mottelson. When higher-order…

Nuclear Theory · Physics 2016-04-14 T. Papenbrock , H. A. Weidenmüller

The effective field theory for collective rotations of triaxially deformed nuclei is generalized to odd-mass nuclei by including the angular momentum of the valence nucleon as an additional degree of freedom. The Hamiltonian is constructed…

Nuclear Theory · Physics 2020-03-18 Q. B. Chen , N. Kaiser , Ulf-G. Meißner , J. Meng

Heavy even-even nuclei exhibit low-energy collective excitations that are separated in scale from the microscopic (fermion) degrees of freedom. This separation of scale allows us to approach nuclear vibrations within an effective field…

Nuclear Theory · Physics 2016-11-21 E. A. Coello Pérez , T. Papenbrock

We recently developed an Effective Field Theory (EFT) for rotational bands in odd-mass nuclei. Here we use EFT expressions to perform a Bayesian analysis of data on the rotational energy levels of $^{99}$Tc, ${}^{155,157}$Gd, ${}^{159}$Dy,…

Nuclear Theory · Physics 2022-03-07 I. K. Alnamlah , E. A. Coello Pérez , D. R. Phillips

Effective field theory (EFT) is generalized to investigate the rotational motion of triaxially deformed even-even nuclei. A Hamiltonian, called the triaxial rotor model (TRM), is obtained up to next-to-leading order (NLO) within the EFT…

Nuclear Theory · Physics 2017-11-22 Q. B. Chen , N. Kaiser , Ulf-G. Meißner , J. Meng

We develop an effective field theory (EFT) for deformed odd-mass nuclei. These are described as an axially symmetric core to which a nucleon is coupled. In the coordinate system fixed to the core the nucleon is subject to an axially…

Nuclear Theory · Physics 2020-10-28 T. Papenbrock , H. A. Weidenmüller

The effective field theory (EFT) for triaxially deformed even-even nuclei is generalized to include the vibrational degrees of freedom. The pertinent Hamiltonian is constructed up to next-to-leading order. The leading order part describes…

Nuclear Theory · Physics 2018-07-04 Q. B. Chen , N. Kaiser , Ulf-G. Meißner , J. Meng

Techniques from effective field theory are applied to nuclear rotation. This approach exploits the spontaneous breaking of rotational symmetry and the separation of scale between low-energy Nambu-Goldstone rotational modes and high-energy…

Nuclear Theory · Physics 2011-07-15 T. Papenbrock

We consider deformed nuclei within an effective theory that exploits the small ratio between rotational and vibrational excitations. For even-even nuclei, the effective theory predicts small changes in the rotational constants of bands…

Nuclear Theory · Physics 2013-03-26 Jialin Zhang , T. Papenbrock

We present a model-independent approach to electric quadrupole transitions of deformed nuclei. Based on an effective theory for axially symmetric systems, the leading interactions with electromagnetic fields enter as minimal couplings to…

Nuclear Theory · Physics 2015-07-29 E. A. Coello Pérez , T. Papenbrock

We extend effective field theory to the case of spontaneous symmetry breaking in genuinely finite quantum systems such as small superfluid systems, molecules or atomic nuclei, and focus on deformed nuclei. In finite superfluids, symmetry…

Nuclear Theory · Physics 2014-02-04 T. Papenbrock , H. A. Weidenmueller

We describe electromagnetic and favored \alpha-transitions to rotational bands in odd-mass nuclei built upon a single particle state with angular momentum projection $\Omega=\frac{1}{2}$ in the region $88 \le Z \le 98$. We use the particle…

Nuclear Theory · Physics 2016-03-23 A. Dumitrescu , D. S. Delion

Collective modes emerge as the relevant degrees of freedom that govern low-energy excitations of atomic nuclei. These modes - rotations, pairing rotations, and vibrations - are separated in energy from non-collective excitations, making it…

Nuclear Theory · Physics 2025-03-12 E. A. Coello Pérez , T. Papenbrock

From the semi-empirical formalisms of Bohr-Mottelson, a new model, based on the effect of beta- and gamma- head energies and the variable moment of inertia, was developed to calculate the ground state rotational band of almost all deformed…

Nuclear Theory · Physics 2007-05-23 Mohamed E. Kelabi , A. Y. Ahmed , Vikram Singh

We advocate an effective field theory approach to anomalous couplings. The effective field theory approach is the natural way to extend the standard model such that the gauge symmetries are respected. It is general enough to capture any…

High Energy Physics - Phenomenology · Physics 2015-06-05 Celine Degrande , Nicolas Greiner , Wolfgang Kilian , Olivier Mattelaer , Harrison Mebane , Tim Stelzer , Scott Willenbrock , Cen Zhang

Tests of the standard model and its hypothetical extensions require precise theoretical predictions for processes involving massive, unstable particles. It is well-known that ordinary weak-coupling perturbation theory breaks down due to…

High Energy Physics - Phenomenology · Physics 2010-04-05 M. Beneke , A. P. Chapovsky , A. Signer , G. Zanderighi

From Bohr-Mottelson model, a three parametric simple expression for the ground state rotational band of deformed even-even nuclei is deduced by incorporating the variable moment of inertia and the softness parameter. Our obtained results…

We formulate an effective field theory describing large mass scalars and fermions minimally coupled to gravity. The operators of this effective field theory are organized in powers of the transfer momentum divided by the mass of the matter…

High Energy Physics - Phenomenology · Physics 2021-01-29 Poul H. Damgaard , Kays Haddad , Andreas Helset

We derive an effective field theory describing a pair of gravitationally interacting point particles in an expansion in their mass ratio, also known as the self-force (SF) expansion. The 0SF dynamics are trivially obtained to all orders in…

High Energy Physics - Theory · Physics 2024-04-22 Clifford Cheung , Julio Parra-Martinez , Ira Z. Rothstein , Nabha Shah , Jordan Wilson-Gerow

A novel method for calculating spectroscopic properties of medium-mass and heavy atomic nuclei with an odd number of nucleons is introduced, based on the framework of nuclear energy density functional theory and the particle-core coupling…

Nuclear Theory · Physics 2016-05-04 K. Nomura , T. Nikšić , D. Vretenar
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