Simple collective model for nuclear chiral mode

doi:10.1007/s11467-023-1356-5

Front. Phys.

2024, Vol. 19

Issue (2) : 24303 https://doi.org/10.1007/s11467-023-1356-5

VIEW & PERSPECTIVE

Simple collective model for nuclear chiral mode

R. V. Jolos^1,²(

), E. A. Kolganova^1,², D. R. Khamitova^1,²

¹. Joint Institute for Nuclear Research, 141980 Dubna, Moscow region, Russia
². Dubna State University, 141982 Dubna, Moscow Region, Russia

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Abstract

A simple semi-analytical collective model that takes into account the limitations of the variation interval of the collective variable is suggested to describe the chiral dynamics in triaxial odd−odd nuclei with a fixed particle−hole configuration. The collective Hamiltonian is constructed with the potential energy obtained using the postulated ansatz for the wave function symmetric with respect to chiral transformation. By diagonalizing the collective Hamiltonian the wave functions of the lowest states are obtained and the evolution of the energy splitting of the chiral doublets in transition from chiral vibration to chiral rotation regime is demonstrated.

Keywords collective model nuclear chiral

Corresponding Author(s): R. V. Jolos

About author:

Peng Lei and Charity Ngina Mwangi contributed equally to this work.

Issue Date: 17 November 2023

Cite this article:

R. V. Jolos,E. A. Kolganova,D. R. Khamitova. Simple collective model for nuclear chiral mode[J]. Front. Phys. , 2024, 19(2): 24303.

URL:

https://academic.hep.com.cn/fop/EN/10.1007/s11467-023-1356-5
https://academic.hep.com.cn/fop/EN/Y2024/V19/I2/24303

Fig.1 Energy splitting of the doublet consisting in the first excited and the lowest states

Δ E 01

(solid black line), and the doublet consisting in the third and the second excited states

Δ E 23

(dashed red line) of the chiral Hamiltonian. Energy is given in arbitrary units. Calculations are performed with

x m = 0.6

and

c

= 2.2.

$ξ$	0.7	0.9	1.1	1.3	1.5	1.6	1.7	1.8	1.9	2.0

$Δ E 01$	1.307	0.701	0.371	0.166	0.064	0.038	0.022	0.013	0.008	0.004
$Δ E 23$					0.490	0.365	0.259	0.175	0.112	0.069

Tab.1 Energy splitting of the doublets consisting in the first excited and lowest states

Δ E 01

, and of the third and second excited states

Δ E 23

of the chiral Hamiltonian. Energies are given in arbitrary units. Calculations are performed with

x m

= 0.6 and

c

= 2.2.

Fig.2 Collective potential (5) for

x m

=0.6 and different values of

ξ

: (a)

ξ = 1.1

, (b)

ξ = 1.3

, (c)

ξ = 1.5

, (d)

ξ = 2.0

. Several low lying eigenstates are indicated by horizontal lines.

Fig.3 Wave functions of the four lowest states at

x m

= 0.6,

c

= 1.2 and

ξ = 1.9

: solid line (black) ? ground state, dashed line (red) ? first excited state, dotted line (blue) ? second excited state and dash-dotted line (green) ? third excited state.

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