High-K isomers: some of the questions

Walker, P. M.

doi:10.1051/epjconf/201612301001

Cited by 5 publications

(2 citation statements)

References 36 publications

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“…Various studies by Walker and collaborators [47][48][49][50][51] examined the above characteristics (i-ii) in the mass A ∼ 130, 180 and 250 regions. Also, the studies [51][52][53] showed strong correlations between the F ν found and the product of the valence nucleon numbers, N p N n [54][55][56]. The N p N n reflects the characteristics of the deformation.…”

Section: Systematics Of Chiral Bandhead and Discussionmentioning

confidence: 95%

Characteristics of Chiral Bandhead

Kumar¹,

Shukla²,

Sharma³

et al. 2023

Acta Phys. Pol. B

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The bandhead of most chiral bands are isomers with a large Weisskopf hindrance factor. Such isomers are proposed as a type of K isomer. From the data available for the mass region A ∽ 80, 100, 130, and 190, it has been observed that the low value of reduced hindrance factors could be indicative of triaxial shape and orthogonally coupling of the valence nucleon angular momentum at the chiral bandhead.

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Section: Systematics Of Chiral Bandhead and Discussionmentioning

confidence: 95%

Characteristics of Chiral Bandhead

Kumar¹,

Shukla²,

Sharma³

et al. 2023

Acta Phys. Pol. B

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“…Mathematically, the L-type topological orders may correspond to unitary fully extended topological quantum field theories. The H-type topological orders may correspond to topless fully extended topological quantum field theories (or d + ǫ dimensional fully extended topological quantum field theories, see [13]).…”

Section: Introductionmentioning

confidence: 99%

Quantization of Chern-Simons topological invariants for H-type and L-type quantum systems

Randal-Williams¹,

Tsui²,

Wen³

2020

Preprint

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In 2+1-dimensions (2+1D), a gapped quantum phase with no symmetry (i.e. a topological order) can have a thermal Hall conductance κxy = c π 2 k 2 B 3h T , where the dimensionless c is called chiral central charge. If there is a U1 symmetry, a gapped quantum phase can also have a Hall conductance σxy = ν e 2 h , where the dimensionless ν is called filling fraction. In this paper, we derive some quantization conditions of c and ν, via a cobordism approach to define Chern-Simons topological invariants which are associated with c and ν. In particular, we obtain quantization conditions that depend on the ground state degeneracies on Riemannian surfaces, and quantization conditions that depend on the type of spacetime manifolds where the topological partition function is non-zero. CONTENTSI. Introduction 1 A. Notations and conventions 3 II. The vector bundle on the moduli space for H-type bosonic systems with gapped liquid ground states 3 III. Chern-Simons invariants in 2+1D H-type bosonic U1-SET and U1-SPT orders 3 A. Bosonic gapped liquids with U1 symmetry in 2-dimensional space 3 B. Examples 5 1. Bosonic K-matrix Abelian topological orders 5 2. Bosonic non-Abelian topological orders described by SU (2) k Chern-Simons Theory 6 C. A general point of view 6 IV. Topological invariants in 2+1D H-type fermionic enriched topological orders with U f 1 symmetry 6 A. Symmetry twist of fermion system 6 B. U f 1 symmetry and spin C structure 7 C. Fermionic gapped liquids with U f 1 symmetry in 2-dimensional space 8 D. H-type invertible fermionic U f 1 -enriched topological orders 9 V. The topological invariants for L-type topological orders 9 A. Topological partition function for L-type topological order 9 B. The quantization of c for 2+1D bosonic topological orders with non-zero partition function 10 C. The quantization of c for 2+1D bosonic topological orders with vanishing partition functions only on non-spin manifolds and for 2+1D fermionic invertible topological orders 10 D. Framing anomaly 11 VI. The topological invariants for L-type topological orders with U1 symmetry 11 A. Quantization of c and ν for bosonic U1-SET orders with non-zero partition functions 11 B. Quantization of c and ν for fermionic U f 1 -enriched topological orders with non-zero partition functions 12 VII. Summary 12 A. Characteristic numbers of 4-manifolds 12 B. Characteristic numbers of surface bundles over surfaces 13 1. Definitions and relations 13 2. Realising characteristic numbers 14 C. Checking (29), (30), (31) 14 1. Spread polynomials Sn(x) 14 2. Symmetric polynomials e l and p l 14 3. Checking (29) 15 4. Checking (30) 15 5. Checking (31) 15 D. Group extension and trivialization 15 References 16

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